Nonlinear Analysis-Real World Applications

Article	Citations
Two models for sandpile growth in weighted graphs	48
Ambrosetti–Prodi problems for the Robin (p,	37
Periodic solutions of discontinuous second order differential equations. The porpoising effect	36
Coexistence of two species with intra- and interspecific competition in an unstirred chemostat	32
On a Stokes hemivariational inequality for incompressible fluid flows with damping	32
Stability analysis of traveling wave fronts in a model for tumor growth	30
Singular non-autonomous (p,q<	30
Two point boundary value problems for ordinary differential systems with generalized variable exponents operators	28
On a planar equation involving (2,	26
Analysis of a free boundary problem for vascularized tumor growth with a necrotic core and time delays	24
Analysis of a mathematical model arising from stage-structured predator–prey in a chemostat	22
Global dynamics of a three-species spatial food chain model with alarm-taxis and logistic source	21
Global weak solutions to the Novikov equation by viscous approximation	21
Global boundedness and stability of a predator–prey model with alarm-taxis	21
On variational inequalities on exterior domains with multivalued convection terms	20
A regularity criterion for 3D shear thinning fluids in terms of the direction of vorticity	20
On a limiting system of the triangular SKT competition model with large cross-diffusion and random-diffusion	19
Editorial Board	18
A family of predictor–corrector schemes for a class of variational inequalities	18
The effect of protection zone on asymptotic dynamics of a reaction–diffusion model with a free boundary or unbounded boundary	18
The existence of minimal large positive solutions for a class of nonlinear cooperative systems	17
The Fokker–Planck–Boltzmann equation in low regularity space	17
Dynamics of a predator–prey system with inducible defense and disease in the prey	16
Gap functions and global error bounds for differential variational–hemivariational inequalities	16
Hamiltonian regularisation of the unidimensional barotropic Euler equations	15

A bifurcation phenomenon in a singularly perturbed two-phase free boundary problem of phase transition	15
A generalized Duffing equation with the Coulomb’s friction law and Signorini–type contact conditions	15
Editorial Board	14
The existence and linear stability of periodic solution for a free boundary problem modeling tumor growth with a periodic supply of external nutrients	14
Global boundedness in a chemotaxis quasilinear parabolic predator–prey system with pursuit-evasion	14
Non-uniform dependence on initial data for the Benjamin–Ono equation	13
Diffusion–convection reaction equations with sign-changing diffusivity and bistable reaction term	13
Construction of quasi-periodic solutions for nonlinear forced perturbations of dissipative Boussinesq systems	13
Global well-posedness and inviscid limits of the generalized Oldroyd type models	13
Boundary null controllability of degenerate heat equation as the limit of internal controllability	12
Global well-posedness and time decay for 2D Oldroyd-B-type fluids in periodic domains with dissipation in the velocity equation only	12
Propagation dynamics of a nonlocal periodic organism model with non-monotone birth rates	12
Global existence for a highly nonlinear temperature-dependent system modeling nonlocal adhesive contact	12
Long-time dynamics of classical Keller–Segel equation	11
Shape sensitivity analysis of an elastic contact problem: Convergence of the Nitsche based finite element approximation	11
Energy equality for the 3D inhomogeneous Navier–Stokes equations in Lorentz–Besov spaces	11
Dynamic behavior of reaction–diffusion equation with Holling II predation	11
Rigidity of three-dimensional steady internal waves with constant vorticity governed by the	11
Editorial Board	11
Editorial Board	10
Dynamics of a predator–prey model with nonlinear growth rate and B–D functional response	10
Convergence rate toward shock wave under periodic perturbation for generalized Korteweg–de Vries–Burgers equation	10
Enriched spatiotemporal dynamics of a model of Ebola transmission with a composite incidence function and density-independent treatment	10
Decay mild solutions of Hilfer fractional differential variational–hemivariational inequalities	10
Editorial Board	10
Nontrivial solutions to affine p-Laplace equations via a perturbation	10
Avian–human influenza epidemic model with diffusion, nonlocal delay and spatial homogeneous environment	10
Stability of Hartmann shear flows in an open inclined channel	9
Linear stability for a periodic tumor angiogenesis model with free boundary	9
Finite-time blowup in attraction–repulsion systems with nonlinear signal production	9
Global existence of weak solutions to a diffuse interface model for magnetic fluids	9
The time periodic problem of the Navier–Stokes equations in a bounded domain with moving boundary	9
Global boundedness and stability of solutions for prey-taxis model with handling and searching predators	9
Some new regularity criteria for the Navier–Stokes equations in terms of one directional derivative of the velocity field	9
Zero-Hopf bifurcation in a 3D jerk system	9
Robin double-phase problems with singular and superlinear terms	9
On the Cauchy problem for semilinear regularity-loss-type σ-evolution	9
Large time behavior in a fractional chemotaxis–Navier–Stokes system with logistic source	9
Forced waves and gap formations for a Lotka–Volterra competition model with nonlocal dispersal and shifting habitats	9
Quadratic slow-fast systems on the plane	9
A class of history-dependent systems of evolution inclusions with applications	9
Multi-component Gerdjikov–Ivanov system and its Riemann–Hilbert problem under zero boundary conditions	9
Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak–Orlicz spaces	9
Bifurcation analysis in a diffusive Logistic population model with two delayed density-dependent feedback terms	8
On the stability of the improved Aw–Rascle–Zhang model with Chaplygin pressure	8
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity	8
A model for lime consolidation of porous solids	8
Mathematical analysis of a tumor invasion model—global existence and stability	8
The Cauchy problem for fractional Camassa–Holm equation in Besov space	8
Bifurcation of equilibrium forms of a gas column rotating with constant speed around its axis of symmetry	8

Nodal solutions for anisotropic (p,	8
Global existence and asymptotic behavior of a two-species competitive Keller–Segel system on	8
Global existence of weak solutions to a signal-dependent Keller–Segel model for local sensing chemotaxis	8
Singular properties of solutions for a parabolic equation with variable exponents and logarithmic source	8
On globally large smooth solutions of full compressible Navier–Stokes equations with moving boundary and temperature-dependent heat-conductivity	8
Exploring the dynamics of African swine fever transmission cycles at a wildlife-livestock interface	7
Qualitative behavior of solutions of Liénard-type systems with state-dependent impulses	7
Some symmetry properties of gyre flows	7
Critical mass phenomenon in a chemotaxis fluid system	7
Existence of positive periodic solutions of several types of biological models with periodic coefficients	7
Stability of viscous contact wave for the radiative and reactive gas with free boundary	7
Scattering below the ground state for the intercritical non-radial inhomogeneous NLS	7
Analysis on a diffusive two-stage epidemic model with logistic growth and saturated incidence rates	7
Attractors for the inhomogeneous incompressible Navier–Stokes flows	7
Formation of singularities in solutions to nonlinear hyperbolic systems with general sources	6
Convergence to a terrace solution in multistable reaction–diffusion equation with discontinuities	6
Phase separation and morphology formation in interacting ternary mixtures under evaporation: Well-posedness and numerical simulation of a non-local evolution system	6
Low Mach number limit of the compressible Navier–Stokes–Cattaneo equations with general initial data	6
Global boundedness and stabilization in a forager–exploiter model with logistic growth and nonlinear resource consumption	6
A migration-selection model in genetic engineering	6
A nonlinear model for marble sulphation including surface rugosity and mechanical damage	6
Quasi-neutral limit for the full Euler–Poisson system in one-dimensional space	6
Anisotropic Chan–Vese segmentation	6
A Liouville-type theorem for the stationary MHD equations	6
Spreading speed and traveling wave solutions of a reaction–diffusion Zika model with constant recruitment	6
Weak solutions to the generalized Navier–Stokes equations with mixed boundary conditions and implicit obstacle constraints	6
Existence of the backward bifurcation of a non-markovian SIS-network model with saturation treatment function	6
Blow-up for the Timoshenko-type equation with variable exponents	6
Bifurcation analysis of a predator–prey model with memory-based diffusion	6
Fractional regularity for conservation laws with discontinuous flux	6
Stability of the Couette flow for the two dimensional Chemotaxis-Navier–Stokes system	6
The logistic problem with nonlinear directed advection	6
Boundedness in a two-dimensional attraction–repulsion Navier–Stokes system with consumption of chemoattractant and sub-quadratic degradation	6
The vanishing relaxation time behavior of multi-term nonlocal Jordan–Moore–Gibson–Thompson equations	6
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force	6
Global dynamics of two-strain epidemic model with single-strain vaccination in complex networks	6
Gradient recovery type a posteriori error estimates of virtual element method for an elliptic variational inequality of the second kind	6
Existence and asymptotic properties of aerotaxis model with the Fokker–Planck type diffusion	6
Blow-up solutions of a chemotaxis model with nonlocal effects	6
Existence and asymptotical behavior of solutions of a class of parabolic systems with homogeneous nonlinearity	5
Existence of solution for a singular elliptic system with convection terms	5
Global solutions to the ideal MHD system with a strong magnetic background	5
Notes on symmetry in convective flows	5
Optimal control problems for the reaction–diffusion–convection equation with variable coefficients	5
Global well-posedness for a family of regularized Benjamin-type equations	5
Coefficient identification of the regularized p-Stokes equations	5
On the long-time behaviour of solutions to unforced evolution Navier–Stokes equations under Navier boundary conditions	5
Global bounded weak solution for a 3D chemotaxis-Stokes system with slow 5
On mathematical analysis of synchronization of bidirectionally coupled Kuramoto oscillators under inertia effect	5
Strong solutions of impulsive pseudoparabolic equations	5
Editorial Board	5
Iso-bispectral potentials for Sturm–Liouville-type operators with small delay	5
SIS reaction–diffusion model with risk-induced dispersal under free boundary	5
Effect models for the stationary Navier–Stokes fluid in a porous medium with different scales	5
Spreading dynamics for an epidemic model of West-Nile virus with shifting environment	5
On an anisotropic double phase problem with singular and sign changing nonlinearity	5
Homogenization of high-contrast media in finite-strain elastoplasticity	5
Proof of two conjectures for perturbed piecewise linear Hamiltonian systems	5
Weakly nonlinear analysis of a two-species non-local advection–diffusion system	5
Boundedness of weak solutions to a 3D chemotaxis-Stokes system with slow p	5
Bifurcation of limit cycles from a periodic annulus formed by a center and two saddles in piecewise linear differential system with three zones	5
Chemotactic cell aggregation viewed as instability and phase separation	5
An inverse problem for supersonic flow past a curved wedge	5
A note on “Existence and uniqueness of coexistence states for an elliptic system coupled in the linear part”, by Hei Li-jun, Nonlinear Anal. Real World Appl. 5, 2004	5
Stability for systems of 1-D coupled nonlinear oscillators	5
A topological approach to the problem of chaotic tides	5
Global well-posedness for the three dimensional compressible micropolar equations	5
Uniqueness and energy balance for isentropic Euler equation with stochastic forcing	5
Global well-posedness and vanishing parameters limits for the systems of ferrohydrodynamics	5
On the five Lagrange points in a generalized surface quasi-geostrophic flow	5
Optimal decay rates and space–time analyticity of solutions to the Patlak-Keller–Segel equations	5
A reaction–diffusion vector-borne disease model with incubation period in almost periodic environments	5
Boundary optimal control problem of semi-linear Kirchhoff plate equation	5
Global existence, uniqueness and exponential stability of solutions for the one-dimensional Navier–Stokes equations with capillarity	4
Well-posedness and simulation results of a coupled denoising PDE	4
Determination of unknown thermal coefficients in a non-classical Stefan problem	4
On Lewy Stampacchia inequalities for a pseudomonotone parabolic obstacle problem with	4
Ekman layer of rotating stratified viscous Boussinesq equations in rotation-dominant limit	4
Periodic solutions to history-dependent differential hemivariational inequalities with applications	4
Uniform in time solutions for a chemotaxis with potential consumption model	4

Existence results for a nonlinear coupled radiative–conductive heat transfer system	4
Editorial Board	4
Wave-breaking phenomena for the generalized Camassa–Holm equation with dual-power nonlinearities	4
On a thermo-viscoelastic system with variable exponent sources	4
Monotone iterative method of upper and lower solutions applied to a multilayer combustion model in porous media	4
Boundedness and large time behavior for a chemotaxis system with signal-dependent motility and indirect signal consumption	4
The local well-posedness of the coupled Ostrovsky system with low regularity	4
On viscous incompressible flows of nonsymmetric fluids with mixed boundary conditions	4
Global boundedness in a two-species attraction–repulsion chemotaxis system with two chemicals and nonlinear productions	4
Sharp critical thresholds for a class of nonlocal traffic flow models	4
On the control issues for higher-order nonlinear dispersive equations on the circle	4
Editorial Board	4
On heterogeneous radially symmetric semilinear elliptic equations with critical nonlinearities in	4
Topological properties of solution sets for nonlinear evolution hemivariational inequalities and applications	4
Editorial Board	4
Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier–Stokes–Fourier fluid and a damped plate equation	4
Evolution dynamics of a time-delayed reaction–diffusion HIV latent infection model with two strains and periodic therapies	4
A nonlinear viscoelastic plate equation with	4
Optimal decay rate of the incompressible Navier–Stokes–Maxwell system with Ohm’s law	4
Criteria of uniqueness of limit cycle in a resonant-tunneling dynamic system	4
On partial regularity for weak solutions to the 3D co-rotational Beris–Edwards system	4
Regularity results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions	4
Stability of rarefaction waves for the non-cutoff Vlasov–Poisson–Boltzmann system with physical boundary	4
The global classical solution to compressible system with fractional viscous term	4
Non-uniform dependence for higher dimensional Camassa–Holm equations in Besov spaces	4
Regularity estimates for the parabolic p(	4
Optimal sparse boundary control of cardiac defibrillation	4
Special issue on the occasion of the 70th birthday of Professor Siegfried Carl	4
Competitive exclusion in a nonlocal reaction–diffusion–advection model of phytoplankton populations	3
Global well-posedness and large time behavior for the inviscid Oldroyd-B model	3
Extremal functions for a supercritical k-Hessian inequality of Sobolev	3
Weak solutions for contact models involving a class of generalized materials	3
Existence and uniqueness of maximal strong solution of a 1D blood flow in a network of vessels	3
A deep neural network-based method for solving obstacle problems	3
The effects of degeneracy on nonlocal dispersal logistic equations	3
Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source	3
Rigorous derivation and well-posedness of a quasi-homogeneous ideal MHD system	3
Global existence, blow-up and dynamical behavior in a nonlocal parabolic problem with variational structure	3
Stable and unstable flow regimes for active fluids in the periodic setting	3
The 2D inviscid Boussinesq equations with fractional diffusion in bounded domain	3
Local stability and topological structure of completely integrable differential systems	3
On the two and one-half dimensional Vlasov–Poisson system with an external magnetic field: Global well-posedness and stability of confined steady states	3
On decay properties for solutions of the Zakharov–Kuznetsov equation	3
Non-uniform continuous dependence on initial data for a two-component Novikov system in Besov space	3
Grow-up of weak solutions in a p-Laplacian pseudo-parabolic problem	3
Spatio-temporal dynamics of a reaction–diffusion–advection food-limited system with nonlocal delayed competition and Dirichlet boundary condition	3
Global boundedness and the Allee effect in a nonlocal bistable reaction–diffusion equation in population dynamics	3
A model for assisted periodic breathing with degenerate permeability	3
Analysis of a nonlinear free-boundary tumor model with angiogenesis and a connection between the nonnecrotic and necrotic phases	3
Pattern formation and qualitative analysis for a vegetation-water model with diffusion	3
A geometric analysis of the SIR, SIRS and SIRWS epidemiological models	3
Measure differential equation with a nonlinear growth/decay term	3
Stability of solutions constructed by the wave front tracking method for conservation laws	3
Spectral analysis of the Neumann–Poincaré operator on the crescent-shaped domain and touching disks and analysis of plasmon resonance	3
Dynamics of a competing two-strain SIS epidemic model with general infection force on complex networks	3
Long time behavior for the critical modified surface quasi-geostrophic equation	3
Global conservative solution for the periodic dispersive Hunter–Saxton equation	3
The Boltzmann equation for plane Couette flow in a finite channel	3
Global and exponential attractors for mixtures of solids with Fourier’s law	3
Behavior in time of solutions to a degenerate chemotaxis system with flux limitation	3
Existence and non-existence of solutions for Timoshenko-type equations with variable exponents	3
Self-similar solutions for the heat equation with a positive non-Lipschitz continuous, semilinear source term	3
Global stability of SAIRS epidemic models	3
Analysis of a degenerate reaction–diffusion anthrax model with spatial heterogeneity	3
Dynamics of an HIV infection model with virus diffusion and latently infected cell activation	3
Elliptic differential inclusions on non-compact Riemannian manifolds	3
A hybrid Krasnosel’skiĭ-Schauder fixed point theorem for systems	3
Global existence and stabilization in a diffusive predator–prey model with population flux by attractive transition	3
Global weak solutions in a singular taxis-type system with signal consumption	3
Dynamical behaviors of a classical Lotka–Volterra competition–diffusion–advection system	3
On the incompressible and non-resistive limit of 3D compressible magnetohydrodynamic equations in bounded domains	3
Global existence of bounded solutions to the relativistic BGK model	3
Boundedness of solutions in a predator–prey system with density-dependent motilities and indirect pursuit–evasion interaction	3
Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network	3
Ill-posedness for the Euler equations in Besov spaces	3
Controllability for semilinear heat equation with globally Lipschitz nonlinearities and memory term	3
Numerical analysis of a family of simultaneous distributed-boundary mixed elliptic optimal control problems and their asymptotic behaviour through a commutative diagram and error estimates	3
Threshold dynamics of a bat-borne rabies model with periodic incubation periods	3
Global existence and time behaviour of strong solution to a compressible non-Newtonian fluid	3
Rotation number and eigenvalues of two-component modified Camassa–Holm equations	3
Asymptotic stability of a stationary solution for the bipolar full Euler–Poisson equation in a bounded domain	3
Time geodesics on a slippery cross slope under gravitational wind	3
Sensitivity analysis of the non-linear Fokker–Planck equations with uncertainty	3
Agent-based pattern formation in a chemostat system with asymmetric dispersal	3
The Riemann problem for the nonisentropic Baer–Nunziato model of two-phase flows	3
A class of nonlinear parabolic systems having standard growth and L	3
Regularity for the steady Stokes-type flow of incompressible Newtonian fluids in some generalized function settings	3
On a periodic age-structured mosquito population model with spatial structure	2
On a nonlinear nonlocal model for a population with separate dispersal and sedentary stages	2
Limit cycle bifurcations of planar piecewise differential systems with three zones	2
Dynamical boundary problem for Dirichlet-to-Neumann operator with critical Sobolev exponent and Hardy potential	2
Asymptotic stability for a free boundary tumor model with a periodic supply of external nutrients	2
Traveling waves for a Belousov–Zhabotinsky reaction–diffusion system with nonlocal effect	2
Global well-posedness to a chemotaxis-Stokes system	2
The Picone identity: A device to get optimal uniqueness results and global dynamics in Population Dynamics	2