Nonlinear Analysis-Real World Applications

Article	Citations
Two models for sandpile growth in weighted graphs	45
Spreading dynamics for an epidemic model of West-Nile virus with shifting environment	36
On globally large smooth solutions of full compressible Navier–Stokes equations with moving boundary and temperature-dependent heat-conductivity	33
Formation of singularities in solutions to nonlinear hyperbolic systems with general sources	32
Global dynamics of two-strain epidemic model with single-strain vaccination in complex networks	30
Ambrosetti–Prodi problems for the Robin (p,	28
Blow-up solutions of a chemotaxis model with nonlocal effects	28
Fractional regularity for conservation laws with discontinuous flux	24
Coexistence of two species with intra- and interspecific competition in an unstirred chemostat	23
Global existence of weak solutions to a signal-dependent Keller–Segel model for local sensing chemotaxis	21
Global boundedness and stability of solutions for prey-taxis model with handling and searching predators	21
Bifurcation analysis of a predator–prey model with memory-based diffusion	21
On a Stokes hemivariational inequality for incompressible fluid flows with damping	21
Scattering below the ground state for the intercritical non-radial inhomogeneous NLS	20
Singular non-autonomous (p,q<	19
Boundary optimal control problem of semi-linear Kirchhoff plate equation	19
Existence and asymptotical behavior of solutions of a class of parabolic systems with homogeneous nonlinearity	19
Stability analysis of traveling wave fronts in a model for tumor growth	18
On mathematical analysis of synchronization of bidirectionally coupled Kuramoto oscillators under inertia effect	18
Two point boundary value problems for ordinary differential systems with generalized variable exponents operators	17
Coefficient identification of the regularized p-Stokes equations	17
On a planar equation involving (2,	17
Bifurcation analysis in a diffusive Logistic population model with two delayed density-dependent feedback terms	16
A nonlinear model for marble sulphation including surface rugosity and mechanical damage	16
Analysis of a chemotaxis-SIS epidemic model with unbounded infection force	16

Existence and asymptotic properties of aerotaxis model with the Fokker–Planck type diffusion	15
Some symmetry properties of gyre flows	14
Global dynamics of a three-species spatial food chain model with alarm-taxis and logistic source	13
Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak–Orlicz spaces	13
Analysis on a diffusive two-stage epidemic model with logistic growth and saturated incidence rates	13
Spreading speed and traveling wave solutions of a reaction–diffusion Zika model with constant recruitment	13
Attractors for the inhomogeneous incompressible Navier–Stokes flows	12
Global weak solutions to the Novikov equation by viscous approximation	12
Exploring the dynamics of African swine fever transmission cycles at a wildlife-livestock interface	12
Global boundedness and stability of a predator–prey model with alarm-taxis	12
Existence of positive periodic solutions of several types of biological models with periodic coefficients	12
The existence of minimal large positive solutions for a class of nonlinear cooperative systems	11
A family of predictor–corrector schemes for a class of variational inequalities	11
A regularity criterion for 3D shear thinning fluids in terms of the direction of vorticity	11
The effect of protection zone on asymptotic dynamics of a reaction–diffusion model with a free boundary or unbounded boundary	11
On a limiting system of the triangular SKT competition model with large cross-diffusion and random-diffusion	11
Editorial Board	11
On variational inequalities on exterior domains with multivalued convection terms	11
Dynamics of a predator–prey system with inducible defense and disease in the prey	10
Quasi-neutral limit for the full Euler–Poisson system in one-dimensional space	10
Anisotropic Chan–Vese segmentation	10
The Fokker–Planck–Boltzmann equation in low regularity space	10
Weak solutions to the generalized Navier–Stokes equations with mixed boundary conditions and implicit obstacle constraints	10
A generalized Duffing equation with the Coulomb’s friction law and Signorini–type contact conditions	10
Critical mass phenomenon in a chemotaxis fluid system	10
Gap functions and global error bounds for differential variational–hemivariational inequalities	10
Stability of viscous contact wave for the radiative and reactive gas with free boundary	10
Gradient recovery type a posteriori error estimates of virtual element method for an elliptic variational inequality of the second kind	10
Quadratic slow-fast systems on the plane	9
Low Mach number limit of the compressible Navier–Stokes–Cattaneo equations with general initial data	9
Boundedness in a two-dimensional attraction–repulsion Navier–Stokes system with consumption of chemoattractant and sub-quadratic degradation	9
A model for lime consolidation of porous solids	9
Hamiltonian regularisation of the unidimensional barotropic Euler equations	9
A bifurcation phenomenon in a singularly perturbed two-phase free boundary problem of phase transition	9
Singular properties of solutions for a parabolic equation with variable exponents and logarithmic source	9
Global boundedness in a chemotaxis quasilinear parabolic predator–prey system with pursuit-evasion	9
A Liouville-type theorem for the stationary MHD equations	9
Convergence to a terrace solution in multistable reaction–diffusion equation with discontinuities	9
Editorial Board	8
Non-uniform dependence on initial data for the Benjamin–Ono equation	8
The Cauchy problem for fractional Camassa–Holm equation in Besov space	8
Mathematical analysis of a tumor invasion model—global existence and stability	8
Finite-time blowup in attraction–repulsion systems with nonlinear signal production	8
On the stability of the improved Aw–Rascle–Zhang model with Chaplygin pressure	8
The existence and linear stability of periodic solution for a free boundary problem modeling tumor growth with a periodic supply of external nutrients	8
Diffusion–convection reaction equations with sign-changing diffusivity and bistable reaction term	8
Construction of quasi-periodic solutions for nonlinear forced perturbations of dissipative Boussinesq systems	8
Nodal solutions for anisotropic (p,	8
Large time behavior in a fractional chemotaxis–Navier–Stokes system with logistic source	7
Global well-posedness and time decay for 2D Oldroyd-B-type fluids in periodic domains with dissipation in the velocity equation only	7

Global well-posedness and inviscid limits of the generalized Oldroyd type models	7
Global existence for a highly nonlinear temperature-dependent system modeling nonlocal adhesive contact	7
Editorial Board	7
Rigidity of three-dimensional steady internal waves with constant vorticity governed by the	7
Dynamics of an oncolytic virus model	7
Boundary null controllability of degenerate heat equation as the limit of internal controllability	7
Global existence of weak solutions to a diffuse interface model for magnetic fluids	7
Dynamic behavior of reaction–diffusion equation with Holling II predation	7
Linear stability for a periodic tumor angiogenesis model with free boundary	7
Bifurcation of equilibrium forms of a gas column rotating with constant speed around its axis of symmetry	7
Robin double-phase problems with singular and superlinear terms	7
Propagation dynamics of a nonlocal periodic organism model with non-monotone birth rates	7
Shape sensitivity analysis of an elastic contact problem: Convergence of the Nitsche based finite element approximation	7
Long-time dynamics of classical Keller–Segel equation	7
Some new regularity criteria for the Navier–Stokes equations in terms of one directional derivative of the velocity field	6
Nontrivial solutions to affine p-Laplace equations via a perturbation	6
A reaction–diffusion vector-borne disease model with incubation period in almost periodic environments	6
Editorial Board	6
A migration-selection model in genetic engineering	6
On the five Lagrange points in a generalized surface quasi-geostrophic flow	6
On the Cauchy problem for semilinear regularity-loss-type σ-evolution	6
Boundedness of weak solutions to a 3D chemotaxis-Stokes system with slow p	6
Dynamics of a predator–prey model with nonlinear growth rate and B–D functional response	6
Decay mild solutions of Hilfer fractional differential variational–hemivariational inequalities	6
The vanishing relaxation time behavior of multi-term nonlocal Jordan–Moore–Gibson–Thompson equations	6
Optimal decay rates and space–time analyticity of solutions to the Patlak-Keller–Segel equations	6
Boundedness and large time behavior of solutions to a prey-taxis system accounting in liquid surrounding	6
Global bounded weak solution for a 3D chemotaxis-Stokes system with slow 6
The logistic problem with nonlinear directed advection	6
Stability of the Couette flow for the two dimensional Chemotaxis-Navier–Stokes system	6
Enriched spatiotemporal dynamics of a model of Ebola transmission with a composite incidence function and density-independent treatment	6
Stability of Hartmann shear flows in an open inclined channel	6
Dissipative martingale solutions of the stochastically forced Navier–Stokes–Poisson system on domains without boundary	6
Convergence rate toward shock wave under periodic perturbation for generalized Korteweg–de Vries–Burgers equation	6
Multi-component Gerdjikov–Ivanov system and its Riemann–Hilbert problem under zero boundary conditions	6
On the long-time behaviour of solutions to unforced evolution Navier–Stokes equations under Navier boundary conditions	6
Weakly nonlinear analysis of a two-species non-local advection–diffusion system	6
Editorial Board	6
Energy equality for the 3D inhomogeneous Navier–Stokes equations in Lorentz–Besov spaces	6
Global well-posedness for a family of regularized Benjamin-type equations	6
Global well-posedness and vanishing parameters limits for the systems of ferrohydrodynamics	6
Avian–human influenza epidemic model with diffusion, nonlocal delay and spatial homogeneous environment	6
Strong solutions of impulsive pseudoparabolic equations	5
General decay results for a viscoelastic wave equation with the logarithmic nonlinear source and dynamic Wentzell boundary condition	5
The Riemann problem for the nonisentropic Baer–Nunziato model of two-phase flows	5
Blow-up for the Timoshenko-type equation with variable exponents	5
Chemotactic cell aggregation viewed as instability and phase separation	5
Global existence and asymptotic behavior of a two-species competitive Keller–Segel system on	5
Existence of the backward bifurcation of a non-markovian SIS-network model with saturation treatment function	5
Forced waves and gap formations for a Lotka–Volterra competition model with nonlocal dispersal and shifting habitats	5
Global well-posedness for the three dimensional compressible micropolar equations	5
A class of history-dependent systems of evolution inclusions with applications	5
Phase separation and morphology formation in interacting ternary mixtures under evaporation: Well-posedness and numerical simulation of a non-local evolution system	5
Existence of periodic and solitary waves of a Boussinesq equation under perturbations	5
Local stability and topological structure of completely integrable differential systems	5
Global weak solutions in a singular taxis-type system with signal consumption	5
Boundedness of solutions in a predator–prey system with density-dependent motilities and indirect pursuit–evasion interaction	5
Analysis of a free boundary problem for vascularized tumor growth with a necrotic core and time delays	5
Qualitative behavior of solutions of Liénard-type systems with state-dependent impulses	5
Zero-Hopf bifurcation in a 3D jerk system	5
Periodic solutions of discontinuous second order differential equations. The porpoising effect	5
Homogenization of high-contrast media in finite-strain elastoplasticity	5
Analysis of a class of Kolmogorov systems	5
Competitive exclusion in a nonlocal reaction–diffusion–advection model of phytoplankton populations	5
Oscillatory and transient dynamics of a slow–fast predator–prey system with fear and its carry-over effect	5
A deep neural network-based method for solving obstacle problems	5
A Riemann–Hilbert approach to the existence results for the Benjamin–Ono equation on a half-line	5
Analysis of a mathematical model arising from stage-structured predator–prey in a chemostat	5
The local well-posedness of the coupled Ostrovsky system with low regularity	5
Global boundedness and stabilization in a forager–exploiter model with logistic growth and nonlinear resource consumption	5
The time periodic problem of the Navier–Stokes equations in a bounded domain with moving boundary	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
Proof of two conjectures for perturbed piecewise linear Hamiltonian systems	5
Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity	5
A hybrid Krasnosel’skiĭ-Schauder fixed point theorem for systems	5
On decay properties for solutions of the Zakharov–Kuznetsov equation	5
Controllability for semilinear heat equation with globally Lipschitz nonlinearities and memory term	4
Global boundedness and the Allee effect in a nonlocal bistable reaction–diffusion equation in population dynamics	4
Existence results for a nonlinear coupled radiative–conductive heat transfer system	4
Evolution dynamics of a time-delayed reaction–diffusion HIV latent infection model with two strains and periodic therapies	4

Non-uniform dependence for higher dimensional Camassa–Holm equations in Besov spaces	4
Regularity results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions	4
Boundedness and large time behavior for a chemotaxis system with signal-dependent motility and indirect signal consumption	4
Elliptic differential inclusions on non-compact Riemannian manifolds	4
On heterogeneous radially symmetric semilinear elliptic equations with critical nonlinearities in	4
Non-uniform continuous dependence on initial data for a two-component Novikov system in Besov space	4
Editorial Board	4
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	4
Uniqueness and energy balance for isentropic Euler equation with stochastic forcing	4
Stable and unstable flow regimes for active fluids in the periodic setting	4
Existence and non-existence of solutions for Timoshenko-type equations with variable exponents	4
Regularity estimates for the parabolic p(	4
Monotone iterative method of upper and lower solutions applied to a multilayer combustion model in porous media	4
Global existence of bounded solutions to the relativistic BGK model	4
Optimal control problems for the reaction–diffusion–convection equation with variable coefficients	4
The 2D inviscid Boussinesq equations with fractional diffusion in bounded domain	4
An inverse problem for supersonic flow past a curved wedge	4
A class of nonlinear parabolic systems having standard growth and L	4
Global and exponential attractors for mixtures of solids with Fourier’s law	4
Dynamical behaviors of a classical Lotka–Volterra competition–diffusion–advection system	4
Stability of solutions constructed by the wave front tracking method for conservation laws	4
Extremal functions for a supercritical k-Hessian inequality of Sobolev	4
On the control issues for higher-order nonlinear dispersive equations on the circle	4
Existence of solution for a singular elliptic system with convection terms	4
Asymptotic stability of a stationary solution for the bipolar full Euler–Poisson equation in a bounded domain	4
Asymptotic stability of the stationary solution to an out-flow problem for the Navier–Stokes–Korteweg equations of compressible fluids	4
The Boltzmann equation for plane Couette flow in a finite channel	4
Editorial Board	4
SIS reaction–diffusion model with risk-induced dispersal under free boundary	4
Iso-bispectral potentials for Sturm–Liouville-type operators with small delay	4
Global solutions to the ideal MHD system with a strong magnetic background	4
Rotation number and eigenvalues of two-component modified Camassa–Holm equations	3
Global stability of SAIRS epidemic models	3
A model for assisted periodic breathing with degenerate permeability	3
Behavior in time of solutions to a degenerate chemotaxis system with flux limitation	3
Periodic solutions to history-dependent differential hemivariational inequalities with applications	3
Well-posedness and simulation results of a coupled denoising PDE	3
On viscous incompressible flows of nonsymmetric fluids with mixed boundary conditions	3
Wave-breaking phenomena for the generalized Camassa–Holm equation with dual-power nonlinearities	3
Time geodesics on a slippery cross slope under gravitational wind	3
Global conservative solution for the periodic dispersive Hunter–Saxton equation	3
Global boundedness in a two-species attraction–repulsion chemotaxis system with two chemicals and nonlinear productions	3
Global existence, uniqueness and exponential stability of solutions for the one-dimensional Navier–Stokes equations with capillarity	3
Measure differential equation with a nonlinear growth/decay term	3
On a thermo-viscoelastic system with variable exponent sources	3
Weak solutions for contact models involving a class of generalized materials	3
A topological approach to the problem of chaotic tides	3
Long time behavior for the critical modified surface quasi-geostrophic equation	3
A geometric analysis of the SIR, SIRS and SIRWS epidemiological models	3
Special issue on the occasion of the 70th birthday of Professor Siegfried Carl	3
Global existence, blow-up and dynamical behavior in a nonlocal parabolic problem with variational structure	3
Editorial Board	3
Ekman layer of rotating stratified viscous Boussinesq equations in rotation-dominant limit	3
Global existence and stabilization in a diffusive predator–prey model with population flux by attractive transition	3
Optimal sparse boundary control of cardiac defibrillation	3
Threshold dynamics of a bat-borne rabies model with periodic incubation periods	3
Boundedness and asymptotic behavior in a quasilinear chemotaxis system for alopecia areata	3
Spectral analysis of the Neumann–Poincaré operator on the crescent-shaped domain and touching disks and analysis of plasmon resonance	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
Analysis of a degenerate reaction–diffusion anthrax model with spatial heterogeneity	3
Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network	3
Rigorous derivation and well-posedness of a quasi-homogeneous ideal MHD system	3
On Lewy Stampacchia inequalities for a pseudomonotone parabolic obstacle problem with	3
Notes on symmetry in convective flows	3
Ill-posedness for the Euler equations in Besov spaces	3
Stability of rarefaction waves for the non-cutoff Vlasov–Poisson–Boltzmann system with physical boundary	3
Global existence and time behaviour of strong solution to a compressible non-Newtonian fluid	3
Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier–Stokes–Fourier fluid and a damped plate equation	3
The effects of degeneracy on nonlocal dispersal logistic equations	3
Dynamics of an HIV infection model with virus diffusion and latently infected cell activation	3
Topological properties of solution sets for nonlinear evolution hemivariational inequalities and applications	3
Global well-posedness and large time behavior for the inviscid Oldroyd-B model	3
Dynamics of a competing two-strain SIS epidemic model with general infection force on complex networks	3
Self-similar solutions for the heat equation with a positive non-Lipschitz continuous, semilinear source term	3
Suppression of blowup by slightly superlinear degradation in a parabolic–elliptic Keller–Segel system with signal-dependent motility	3
Sharp critical thresholds for a class of nonlocal traffic flow models	3
Uniform in time solutions for a chemotaxis with potential consumption model	3
Existence and uniqueness of maximal strong solution of a 1D blood flow in a network of vessels	3
The global classical solution to compressible system with fractional viscous term	3
Analysis of a nonlinear free-boundary tumor model with angiogenesis and a connection between the nonnecrotic and necrotic phases	3
Effect models for the stationary Navier–Stokes fluid in a porous medium with different scales	3
On an anisotropic double phase problem with singular and sign changing nonlinearity	3
Stability for systems of 1-D coupled nonlinear oscillators	3
On the incompressible and non-resistive limit of 3D compressible magnetohydrodynamic equations in bounded domains	3
On partial regularity for weak solutions to the 3D co-rotational Beris–Edwards system	3
Editorial Board	3
Optimal decay rate of the incompressible Navier–Stokes–Maxwell system with Ohm’s law	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
On positive periodic solutions to second-order differential equations with a sub-linear non-linearity	3
A nonlinear viscoelastic plate equation with	3
Chemotaxis systems with singular sensitivity and logistic source: Boundedness, persistence, absorbing set, and entire solutions	3
Criteria of uniqueness of limit cycle in a resonant-tunneling dynamic system	3