Zeitschrift fuer Angewandte Mathematik und Physik

Article	Citations
Higher-order hybrid waves for the (2 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique	61
Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients	46
Identification of a geometrically nonlinear micromorphic continuum via granular micromechanics	37
Combining effects ensuring boundedness in an attraction–repulsion chemotaxis model with production and consumption	34
General stability result of swelling porous elastic soils with a viscoelastic damping	31
Improved results on planar Kirchhoff-type elliptic problems with critical exponential growth	31
Stability of hydrostatic equilibrium for the 2D magnetic Bénard fluid equations with mixed partial dissipation, magnetic diffusion and thermal diffusivity	29
Inverse scattering transform and multiple high-order pole solutions for the Gerdjikov–Ivanov equation under the zero/nonzero background	27
Global boundedness and large time behavior of solutions to a chemotaxis–consumption system with signal-dependent motility	24
Exponential stabilization of fully dynamic and electrostatic piezoelectric beams with delayed distributed damping feedback	23
Global solvability of prey–predator models with indirect predator-taxis	23
On existence of multiple normalized solutions to a class of elliptic problems in whole $${\mathbb {R}}^N$$	21
Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems	20
Suppressing blow-up by gradient-dependent flux limitation in a planar Keller–Segel–Navier–Stokes system	19
On the conditions for the breaking of oscillations in a cold plasma	19
Multiplicity and concentration results for a (p, q)-Laplacian problem in $${\mathbb {R}}^{N}$$	19
New decay results for a viscoelastic-type Timoshenko system with infinite memory	18
The onset of thermal convection in anisotropic and rotating bidisperse porous media	18
On the nonlocal boundary value problem of geophysical fluid flows	17
Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime	16
Traveling waves for a diffusive mosquito-borne epidemic model with general incidence	16
General energy decay result for a viscoelastic swelling porous-elastic system	16
Influence of fear effect and predator-taxis sensitivity on dynamical behavior of a predator–prey model	15
Symmetry and monotonicity of nonnegative solutions to pseudo-relativistic Choquard equations	15
Well-posedness and regularity of Caputo–Hadamard fractional stochastic differential equations	15

Existence of solutions for a fractional Choquard-type equation in $$\mathbb {R}$$ with critical exponential growth	15
Blow-up results for semilinear damped wave equations in Einstein–de Sitter spacetime	14
On a fully parabolic singular chemotaxis-(growth) system with indirect signal production or consumption	14
Lie symmetry reductions, power series solutions and conservation laws of the coupled Gerdjikov–Ivanov equation using optimal system of Lie subalgebra	14
Maximally dissipative solutions for incompressible fluid dynamics	13
General decay result of solutions for viscoelastic wave equation with Balakrishnan–Taylor damping and a delay term	13
Error bound analysis of the D-gap functions for a class of elliptic variational inequalities with applications to frictional contact mechanics	13
Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration–consumption interaction	13
Analysis of a malaria epidemic model with age structure and spatial diffusion	12
Boundedness and finite-time blow-up in a quasilinear parabolic–elliptic–elliptic attraction–repulsion chemotaxis system	12
Equilibrium problem for elastic plate with thin rigid inclusion crossing an external boundary	12
Energy decay for a weakly nonlinear damped piezoelectric beams with magnetic effects and a nonlinear delay term	12
Existence and Hölder regularity of infinitely many solutions to a p-Kirchhoff-type problem involving a singular nonlinearity without the Ambrosetti–Rabinowitz (AR) condition	12
Existence and stability of steady-state solutions of reaction–diffusion equations with nonlocal delay effect	12
Global dynamics and spatio-temporal patterns in a two-species chemotaxis system with two chemicals	12
Sharp decay estimates and asymptotic behaviour for 3D magneto-micropolar fluids	11
An analytic derivation of the bifurcation conditions for localization in hyperelastic tubes and sheets	11
Maximum mechano-damage power release-based phase-field modeling of mass diffusion in damaging deformable solids	11
A new deformation measure for the nonlinear micropolar continuum	11
Propagation dynamics for a time-periodic reaction–diffusion SI epidemic model with periodic recruitment	11
Nonlocal and nonlinear effects in hyperbolic heat transfer in a two-temperature model	11
Concentration of solutions for fractional Kirchhoff equations with discontinuous reaction	11
On the well-posedness for the 2D micropolar Rayleigh–Bénard convection problem	11
Solitary waves in mass-in-mass lattices	10
Asymptotic behavior in a doubly tactic resource consumption model with proliferation	10
Propagation dynamics for lattice differential equations in a time-periodic shifting habitat	10
On stability of Boussinesq equations without thermal conduction	10
Effects of flexible bed on oblique wave interaction with multiple surface-piercing porous barriers	10
Exponential stabilization of a Timoshenko system with thermodiffusion effects	9
Phase-field gradient theory	9
Non-coercive problems for Kirchhoff–Love plates with thin rigid inclusion	9
Dynamics of a reaction–diffusion SIRS model with general incidence rate in a heterogeneous environment	9
The stability and Hopf bifurcation of the diffusive Nicholson’s blowflies model in spatially heterogeneous environment	9
On the stability of Bresse system with one discontinuous local internal Kelvin–Voigt damping on the axial force	9
Global strong solution to 3D full compressible magnetohydrodynamic flows with vacuum at infinity	9
Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation	9
Blow-up criterion and the global existence of strong/classical solutions to Navier–Stokes/Allen–Cahn system	9
Decay of quasi-static porous-thermo-elastic waves	9
Stability of piezoelectric beam with magnetic effect under (Coleman or Pipkin)–Gurtin thermal law	9
Dynamics of a diffusion epidemic SIRI system in heterogeneous environment	8
Physics-Informed Neural Networks for rarefied-gas dynamics: Poiseuille flow in the BGK approximation	8
$$L^p$$-trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions	8
Reaction–diffusion problem in a thin domain with oscillating boundary and varying order of thickness	8
A boundary value problem in the theory of elasticity for a rectangle: exact solutions	8
Boundedness in a taxis–consumption system involving signal-dependent motilities and concurrent enhancement of density-determined diffusion and cross-diffusion	8
Boundedness and stabilization of solutions to a chemotaxis May–Nowak model	8
Implication of cross-diffusion on the stability of double diffusive convection in an imposed magnetic field	8
Normalized solutions to a kind of fractional Schrödinger equation with a critical nonlinearity	8
Justification of the KP-II approximation in dynamics of two-dimensional FPU systems	8
Stability and large time decay for the three-dimensional anisotropic magnetohydrodynamic equations	8

Asymptotic profiles in diffusive logistic equations	8
Two stability results for the Kawahara equation with a time-delayed boundary control	7
On the inhomogeneous NLS with inverse-square potential	7
On the Cauchy problem of the standard linear solid model with Fourier heat conduction	7
Optimal energy decay result for nonlinear abstract viscoelastic dissipative systems	7
Visco-elastodynamics at large strains Eulerian	7
Nonlinear surface SH waves in a half-space covered by an irregular layer	7
On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels	7
Generalized periodic orbits in some restricted three-body problems	7
Generalized Tresca yield condition as a family of elliptic curves with application to mode I crack problems	7
General decay of solutions for a viscoelastic suspension bridge with nonlinear damping and a source term	7
Existence and limit behavior of least energy solutions to constrained Schrödinger–Bopp–Podolsky systems in $${\mathbb {R}}^3$$	7
Infinitely many solutions of Dirac equations with concave and convex nonlinearities	7
Instability of natural convection in a vertical fluid layer with net horizontal throughflow	7
Pseudo S-asymptotically Bloch type periodic solutions to fractional integro-differential equations with Stepanov-like force terms	7
Well-posedness and regularity of fractional Rayleigh–Stokes problems	7
A mechanical model for dark matter and dark energy	7
Free boundary problem for the role of planktonic cells in biofilm formation and development	7
Domain wall dynamics in cubic magnetostrictive materials subject to Rashba effect and nonlinear dissipation	7
Global boundedness and stability in a density-suppressed motility model with generalized logistic source and nonlinear signal production	7
Existence of solution for a class of heat equation involving the p(x) Laplacian with triple regime	7
Impact of discontinuous harvesting on a diffusive predator–prey model with fear and Allee effect	7
Well-posedness of the classical solution for the Kuramto–Sivashinsky equation with anisotropy effects	6
A study on the Gurtin–Murdoch model for spherical solids with surface tension	6
Existence and concentration behavior of solutions for the logarithmic Schrödinger–Bopp–Podolsky system	6
A higher-order nonlocal elasticity continuum model for deterministic and stochastic particle-based materials	6
Boundedness and stabilization in the 3D minimal attraction–repulsion chemotaxis model with logistic source	6
Global well-posedness of 3D magneto-micropolar fluid equations with mixed partial viscosity near an equilibrium	6
Ellipticity in couple-stress elasticity	6
Dynamics and pattern formation in a reaction-diffusion-advection mussel–algae model	6
On a two-species chemotaxis-competition system with indirect signal consumption	6
Multiple homoclinic solutions for discrete Schrödinger equations with perturbed and sublinear terms	6
A continuum model based on Rayleigh dissipation functions to describe a Coulomb-type constitutive law for internal friction in woven fabrics	6
Formation of vacuum state and delta shock wave for the relativistic Euler system for polytropic gas with the varying $$\gamma $$-law	6
Boundedness and stabilization in the chemotaxis consumption model with signal-dependent motility	6
A double-logarithmically improved regularity criterion of weak solutions for the 3D MHD equations	6
Blow-up results for systems of nonlinear Schrödinger equations with quadratic interaction	6
Ground state solution to the biharmonic equation	6
Threshold dynamics of a Zika model with environmental and sexual transmissions and spatial heterogeneity	6
Normalized solutions for the Schrödinger systems with mass supercritical and double Sobolev critical growth	6
Global Solutions to the initial boundary problem of 3-D compressible Navier–Stokes–Poisson on bounded domains	5
Elastodynamic transformation cloaking for non-centrosymmetric gradient solids	5
On the divergence theorem for submanifolds of Euclidean vector spaces within the theory of second-gradient continua	5
Initial-boundary value problem for 2D magneto-micropolar equations with zero angular viscosity	5
Flamant problem of a cubic quasicrystal half-plane	5
Stabilization of swelling porous elastic soils with fluid saturation, time varying-delay and time-varying weights	5
Existence of nonstationary Poiseuille-type solutions under minimal regularity assumptions	5
Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation	5
Global attractors for a novel nonlinear piezoelectric beam model with dynamic electromagnetic effects and viscoelastic memory	5
Nonlinear dynamics of origami metamaterials: energetic discrete approach accounting for bending and in-plane deformation of facets	5
A proof of convergence for stochastic gradient descent in the training of artificial neural networks with ReLU activation for constant target functions	5
Traveling waves for a nonlocal dispersal predator–prey model with two preys and one predator	5
Experimental evaluation of micromorphic elastic constants in foams and lattices	5
Unique solvability of a stationary radiative–conductive heat transfer problem in a semitransparent body with absolutely black inclusions	5
Regularity and stability for a plate model involving fractional rotational forces and damping	5
Global regularity of the 3D magneto-micropolar equations with fractional dissipation	5
The existence of normalized solutions for a fractional Kirchhoff-type equation with doubly critical exponents	5
Stability and cross-diffusion-driven instability for a water-vegetation model with the infiltration feedback effect	5
On Liouville-type theorems for the stationary MHD and the Hall-MHD systems in $${ \mathbb {R} }^3$$	5
Delta shock as free piston in pressureless Euler flows	5
Stability near hydrostatic equilibrium to the three-dimensional Boussinesq equations with partial dissipation	5
Rigorous justification of the effective boundary condition on a porous wall via homogenization	5
Global time evolution of concentrated vortex rings	5
Orbital stability of peakon solutions for a generalized higher-order Camassa–Holm equation	5
A new computational method-based integral transform for solving time-fractional equation arises in electromagnetic waves	5
The Truesdell rate in Continuum Mechanics	5
Stability results for a laminated thermoviscoelastic system with Fourier’s law	5
Existence of solitary SH waves in a heterogeneous elastic two-layered plate	5
Asymptotic behavior of a quasilinear parabolic–elliptic–elliptic chemotaxis system with logistic source	5
Regularity estimates for stationary Stokes problem in some generalized function spaces	5
A study on the critical Kirchhoff problem in high-dimensional space	5
Effect of torsion on the initiation of localized bulging in a hyperelastic tube of arbitrary thickness	5
Self-weight buckling of thin elastic shells: the case of a spherical equatorial segment	5
Integrability, modulational instability and mixed localized wave solutions for the generalized nonlinear Schrödinger equation	5
An age-space structured cholera model linking within- and between-host dynamics with Neumann boundary condition	5
A numerical study of the de Broglie gravitational wave of the electron	4
Approximate controllability for mild solution of time-fractional Navier–Stokes equations with delay	4
Variable-order time-fractional diffusion equation with Mittag-Leffler kernel: regularity analysis and uniqueness of determining variable order	4
Sign-changing solutions for Schrödinger–Bopp–Podolsky system with general nonlinearity	4
Commutator estimates with fractional derivatives and local existence for the generalized MHD equations	4

Interaction of elementary waves for the Aw–Rascle traffic flow model with variable lane width	4
Delay-driven spatial patterns in a predator–prey model with constant prey harvesting	4
Eigenvalues of the bi-drifting Laplacian on the complete noncompact Riemannian manifolds	4
Existence and local uniqueness of normalized solutions for two-component Bose–Einstein condensates	4
Coupled plate equations with indirect damping: smoothing effect, decay properties and approximation	4
Qualitative analysis of solutions of obstacle elliptic inclusion problem with fractional Laplacian	4
Threshold dynamics of a reaction–diffusion equation model for cholera transmission with waning vaccine-induced immunity and seasonality	4
Interaction of wave structure in the $$\mathcal{P}\mathcal{T}$$-symmetric $$(3\,+\,1)$$-dimensional nonlocal Mel’nikov equation and their applications	4
Global analysis of a new reaction–diffusion multi-group SVEIR propagation model with time delay	4
Periodic-background solutions of Kadomtsev-Petviashvili I equation	4
Pseudomomentum: origins and consequences	4
The optimal decay rates for viscoelastic Timoshenko type system in the light of the second spectrum of frequency	4
On the impact of spatial heterogeneity and drift rate in a three-patch two-species Lotka–Volterra competition model over a stream	4
Critical velocities of a two-layer composite tube incorporating the effects of transverse shear, rotary inertia and material anisotropy	4
Stability and instability results for Cauchy laminated Timoshenko-type systems with interfacial slip and a heat conduction of Gurtin–Pipkin’s law	4
Thermoelastic Bresse system with dual-phase-lag model	4
Stress analysis in an isotropic hyperbolic rotating disk fitted with rigid shaft	4
A new torsional energy for pantographic sheets	4
Exponential stability for the nonlinear Schrödinger equation on a star-shaped network	4
A viscoelastic wave equation with delay and variable exponents: existence and nonexistence	4
An elasto-plastic biphasic model of the compression of multicellular aggregates: the influence of fluid on stress and deformation	4
Global well-posedness of the 3D generalized MHD equations in Lei–Lin–Gevrey and Lei–Lin spaces	4
A gradient electromechanical theory for thin dielectric curved beams considering direct and converse flexoelectric effects	4
Non-linear anti-symmetric shear motion: a comparative study of non-homogeneous and homogeneous plates	4
Uniform stability for a semilinear non-homogeneous Timoshenko system with localized nonlinear damping	4
Spatial dynamics of a viral infection model with immune response and nonlinear incidence	4
Existence and concentration behavior of solutions for the logarithmic Schrödinger–Poisson system with steep potential	4
On the global solutions of discrete Safronov–Dubovskiǐ aggregation equation	4
Incompressible limit of the Hookean elastodynamics in a bounded domain	4
Some inverse problems for fractional integro-differential equation involving two arbitrary kernels	4
On a planar Choquard equation involving exponential critical growth	4
Tumor boundary instability induced by nutrient consumption and supply	4
Characterizing geometrically necessary dislocations using an elastic–plastic decomposition of Laplace stretch	4
Extremal hinged lattices do not obey the theory of elasticity	4
Boundedness in a higher-dimensional singular chemotaxis-growth system with indirect signal production	4
Periodic homogenization in the context of structured deformations	4
Global weak solutions for a Vlasov–Fokker–Planck/Navier–Stokes system with nonhomogeneous boundary data	4
Eshelby’s inclusion problem in large deformations	4
Deformation-induced coupling of the generalized external actions in third-gradient materials	4
The role of strong Allee effect and protection zone on a diffusive prey–predator model	4
Asymptotic behavior of the transmission problem of the Bresse beam in thermoelasticity	4
Alternative derivation of the higher-order constitutive model for six-parameter elastic shells	4
Interface potential in composites with general imperfect transmission conditions	3
Ground state solution for a class of Kirchhoff-type equation with general convolution nonlinearity	3
Approximation of random diffusion by nonlocal diffusion in age-structured models	3
First and second critical exponents for an inhomogeneous Schrödinger equation with combined nonlinearities	3
Orbital stability of the sum of N peakons for the generalized higher-order Camassa–Holm equation	3
System of radiative transfer equations for coupled surface and body waves	3
Fractional entropy-based modeling of suspended concentration distribution of type I and type II and sediment discharge in pipe and open-channel turbulent flows	3
Joining curves between nano-torus and nanotube: mathematical approaches based on energy minimization	3
Solution for nonvariational quasilinear elliptic systems via sub-supersolution technique and Galerkin method	3
Analysis of a two-dimensional triply haptotactic model with a fusogenic oncolytic virus and syncytia	3
Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan–Porsezian–Daniel equations by Bäcklund transformation	3
Wave trapping by a submerged permeable flexible membrane near an impermeable sea wall	3
Global existence and time decay rates of the two-phase fluid system in $${\mathbb {R}}^3$$	3
Existence and energy decay of a Bresse system with thermoelasticity of type III	3
Hydroelastic analysis of very large rectangular plate floating on shallow water	3
Remarks on the global regularity issue of the two-and-a-half-dimensional Hall-magnetohydrodynamics system	3
Threshold Dynamics of a Chronological Age and Infection Age Structured Cholera Model with Neumann Boundary Condition	3
Strong solutions to the three-dimensional barotropic compressible magneto-micropolar fluid equations with vacuum	3
A free boundary problem with nonlocal diffusion and unbounded initial range	3
Dynamics of a Lotka–Volterra weak competition model with time delays and free boundaries	3
Unsteady flow of Carreau fluid in a pipe	3
General decay and blow up of solutions for the Kirchhoff plate equation with dynamic boundary conditions, delay and source terms	3
Friction factor power law with equivalent log law, of a turbulent fully developed flow, in a fully smooth pipe	3
Anisotropic Robin problems with logistic reaction	3
The non-unique existence of Rayleigh waves in nonlocal elastic half-spaces	3
Life span bounds for reaction–diffusion equation with a space–time integral source term	3
Finite time blow-up for some parabolic systems arising in turbulence theory	3
Positive solutions for quasilinear Schrödinger system with positive parameter	3
Well-posedness and decay property for the Cauchy problem of the standard linear solid model with thermoelasticity of type III	3
Global boundedness of weak solutions to a fully parabolic chemotaxis system with p-Laplacian diffusion and logistic-type source	3
Minimization arguments in analysis of variational–hemivariational inequalities	3
Energy decay for a porous-elastic system with nonlinear localized damping	3
On the generalized Magnetohydrodynamics-$$\alpha $$ equations with fractional dissipation in Lei–Lin and Lei–Lin–Gevrey spaces	3
Soliton and breather solutions of the higher-order modified Korteweg–de Vries equation with constants background	3
On the Poisson equation of p-Laplacian and the nonlinear Hardy-type problems	3
Global dynamics in a chemotaxis system involving nonlinear indirect signal secretion and logistic source	3
Stability of multi-dimensional nonlinear piezoelectric beam with viscoelastic infinite memory	3
Local and global existence of mild solutions of time-fractional Navier–Stokes system posed on the Heisenberg group	3
The investigation of singular integro-differential equations relating to adhesive contact problems of the theory of viscoelasticity	3
Invariant tori and boundedness of solutions of non-smooth oscillators with Lebesgue-integrable forcing term	3
Exponential and polynomial decay results for a swelling porous elastic system with a single nonlinear variable exponent damping: theory and numerics	3
Blowup time estimates for the heat equation with a nonlocal boundary condition	3
Bogdanov–Takens bifurcation in a predator–prey model with age structure	3
The modified generalized Tresca yield condition with application to mode I perfectly plastic crack problems	3
Linearization of elasticity models for incompressible materials	3
Spatial propagation for the lattice competition system in moving habitats $$^\star $$	3
The minimal wave speed of a general reaction–diffusion equation with nonlinear advection	3
Asymptotic profiles of a diffusive SIRS epidemic model with standard incidence mechanism and a logistic source	3
Nonlocal adhesion models for two cancer cell phenotypes in a multidimensional bounded domain	3
Asymptotic corrections to the low-frequency theory for a cylindrical elastic shell	3
Global Weak Solutions for 1D Compressible Navier–Stokes/Allen–Cahn System with Vacuum	3
Spectral stability of the critical front in the extended Fisher-KPP equation	3
Explicit transfer matrix for an incompressible orthotropic elastic layer and applications	3