Nonlinear Analysis-Real World Applications

Article	Citations
Proof of two conjectures for perturbed piecewise linear Hamiltonian systems	50
Phase separation and morphology formation in interacting ternary mixtures under evaporation: Well-posedness and numerical simulation of a non-local evolution system	46
Global well-posedness and large time behaviors for the generalized MHD equations	39
Blow-up solutions of a chemotaxis model with nonlocal effects	35
Gap functions and global error bounds for differential variational–hemivariational inequalities	34
Optimal decay rates and space–time analyticity of solutions to the Patlak-Keller–Segel equations	32
The existence of minimal large positive solutions for a class of nonlinear cooperative systems	25
N-wave-like properties for entropy solutions to scalar parabolic–hyper	25
Bilinear optimal control for chemotaxis model: The case of two-sidedly degenerate diffusion with Volume-Filling Effect	24
Critical mass phenomenon in a chemotaxis fluid system	24
The effect of protection zone on asymptotic dynamics of a reaction–diffusion model with a free boundary or unbounded boundary	24
Quasi-neutral limit for the full Euler–Poisson system in one-dimensional space	23
Propagation dynamics of a nonlocal periodic organism model with non-monotone birth rates	23
Editorial Board	22
Spreading speed and traveling wave solutions of a reaction–diffusion Zika model with constant recruitment	21
Global existence and boundedness in a 3D predator–prey system with nonlinear diffusion and prey-taxis	21
Global dynamics of a three-species spatial food chain model with alarm-taxis and logistic source	20
Some new regularity criteria for the Navier–Stokes equations in terms of one directional derivative of the velocity field	19
Enriched spatiotemporal dynamics of a model of Ebola transmission with a composite incidence function and density-independent treatment	17
Existence of positive periodic solutions of several types of biological models with periodic coefficients	16
Dynamics of a predator–prey model with nonlinear growth rate and B–D functional response	16
Traveling wave solutions of a cholera transmission model with nonlocal diffusion and spatio-temporal delay	16
Homogenization of a finite plasticity model of layered structures with two slip systems	15
Wave-breaking phenomena for the generalized Camassa–Holm equation with dual-power nonlinearities	14
Dynamics of an HIV infection model with virus diffusion and latently infected cell activation	14

The global classical solution to compressible system with fractional viscous term	14
The local well-posedness of the coupled Ostrovsky system with low regularity	14
Regularity estimates for the parabolic p(	14
Sensitivity analysis of the non-linear Fokker–Planck equations with uncertainty	14
Existence results for a nonlinear coupled radiative–conductive heat transfer system	14
Global existence of bounded solutions to the relativistic BGK model	13
Behavior in time of solutions to a degenerate chemotaxis system with flux limitation	13
Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications	13
Weak asymptotic analysis approach for first order scalar conservation laws with nonlocal flux	13
Blow-up and lifespan estimates of solutions to semilinear Moore–Gibson–Thompson equations	12
Dynamics of a reaction–diffusion waterborne pathogen model with free boundaries	12
The diffusive Lotka–Volterra competition model in fragmented patches I: Coexistence	12
On a Lotka–Volterra weak competition system with Robin and free boundary conditions	12
Note on global stability of 2D anisotropic Boussinesq equations near the hydrostatic equilibrium	12
The role of manipulative trophically transmitted parasites in the stability of a predator–prey community	11
Persistence and zero-Hopf equilibrium in the tritrophic food chain model with Holling functional response	11
Rayleigh–Taylor instability of 3D inhomogeneous incompressible Euler equations with damping in a horizontal slab	11
Global well-posedness of Chemotaxis-Navier–Stokes system with refined rough initial data in	11
Existence of local suitable weak solutions to the Navier–Stokes equations for initial data in	11
Global well-posedness for the compressible Euler–Korteweg equations with damping in	11
Second-order differential inclusions with two small parameters	10
Global dynamics of diffusive Hindmarsh–Rose equations with memristors	10
Two-phase Stefan problem for generalized heat equation with nonlinear thermal coefficients	10
Editorial Board	10
An analytical approach to applying the Lyapunov direct method to an epidemic model with age and stage structures	10
Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method	10
Adaptive control for nonlinear cyber–physical systems in the presence of actuator attacks	10
A simple proof of uniqueness for the nonlocal positive solutions	9
Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem	9
On a bi-stability regime and the existence of odd subharmonics in a Comb-drive MEMS model with cubic stiffness	9
Asymptotic analysis for an age-structured predator–prey model with Beddington–Deangelis functional response	9
Editorial Board	9
A necessary condition for extremality of solutions to autonomous obstacle problems with general growth	9
On the number of limit cycles in piecewise smooth generalized Abel equations with two asymmetric zones	9
Axi-symmetric solutions for active vector models generalizing 3D Euler and electron–MHD equations	9
Large relaxation oscillation in slow–fast excitable Brusselator oscillator	9
Existence of positive and nonnegative eigenfunctions for a fourth order operator with definite and indefinite weights	9
A note to semilinear de Sitter models in 1d with balanced mass and dissipation	9
On a multiple time-scales perturbation analysis of a Stefan problem with a time-dependent Dirichlet boundary condition	9
Homogenization of a nonlinear drift–diffusion system for multiple charged species in a porous medium	8
Global Dynamics of Planar Piecewise Linear Inelastic systems having straight lines as switching manifolds	8
On second order differential inclusion driven by quasi-variational–hemivariational inequalities	8
Leray–Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress–strain relation	8
Normal forms of Hopf–Bogdanov–Takens bifurcation for retarded differential equations	8
Blow-up for a pseudo-parabolic equation with variable nonlinearity depending on	8
Sobolev hyperbola for periodic Lane–Emden heat flow system in N spatial dimension	8
Nonlinear mountain waves with active precipitation	8
Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory	8
Persistence and positive steady states of a two-stage structured population model with mixed dispersals	8
Higher order asymptotic expansions for the convection–diffusion equation in the Fujita-subcritical case	8

Periodic traveling waves for a diffusive influenza model with treatment and seasonality	8
Improved decay results for micropolar flows with nonlinear damping	8
Positive steady-state solutions for predator–prey systems with prey-taxis and Dirichlet conditions	7
Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity	7
Monostable pulsating traveling waves in discrete periodic media with delay	7
Large Ericksen number limit for the 2D general Ericksen–Leslie system	7
Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments	7
The Riemann problem for a generalised Burgers equation with spatially decaying sound speed. II General qualitative theory and numerical analysis	7
Linearizability of planar polynomial Hamiltonian systems	7
Energy conservation for the weak solutions to the 3D compressible magnetohydrodynamic equations of viscous non-resistive fluids in a bounded domain	7
Addendum to “Γ-convergence involving nonlocal gradients with varying horizon: Recovery of local and fractional models” [Nonlinear Analysis: Real World Applications, Volume 85 (2025), 104371]	7
Derivation of a bidomain model for bundles of myelinated axons	7
A new regularized stochastic approximation framework for stochastic inverse problems	7
An improved spatially controlled reaction–diffusion equation with a non-linear second order operator for image super-resolution	7
Bifurcation and dynamics of periodic solutions of MEMS model with squeeze film damping	7
Boundedness in a fully parabolic attraction–repulsion chemotaxis system with nonlinear diffusion and signal-dependent sensitivity	7
Global well-posedness of 2D Hyperbolic perturbation of the Navier–Stokes system in a thin strip	7
Boundedness and persistence of traveling wave solutions for a non-cooperative lattice-diffusion system with time delay	7
Global semigroup of conservative weak solutions of the two-component Novikov equation	7
On the existence and monotonicity of pulsating traveling waves for reaction–diffusion–advection systems in high dimensional and periodic media	7
Optimal decay rate of the two-fluid incompressible Navier–Stokes–Fourier–Poisson system with Ohm’s law	7
Modeling and analysis of a two-strain immuno-epidemiological model with reinfection	7
Self-similar solutions to a flux-limited Keller–Segel system	7
Asymptotic behaviour of general nonautonomous Nicholson equations with mixed monotonicities	7
Improvement of several regularity criteria for the Navier–Stokes equations	7
Singular double phase problems with convection	7
Energy equality of weak solutions of the Navier–Stokes–Fourier equations allowing vacuum	7
Minimum energy with infinite horizon: From stationary to non-stationary states	7
Stability of viscous contact wave for the radiative and reactive gas with free boundary	6
Existence and asymptotic properties of aerotaxis model with the Fokker–Planck type diffusion	6
Parabolic-scalings on large-time behavior of the incompressible Navier–Stokes flow	6
Boundedness in a two-dimensional attraction–repulsion Navier–Stokes system with consumption of chemoattractant and sub-quadratic degradation	6
Avian–human influenza epidemic model with diffusion, nonlocal delay and spatial homogeneous environment	6
Nodal solutions for anisotropic (p,	6
Anisotropic Chan–Vese segmentation	6
Junction in a thin multi-domain for nonsimple grade two materials in BH	6
The Fokker–Planck–Boltzmann equation in low regularity space	6
On the boundary stabilization of the KdV–KdV system with time-dependent delay	6
Global dynamics of a diffusive viral infection model with spatial heterogeneity	6
A Liouville-type theorem for the stationary MHD equations	6
Nontrivial solutions to affine p-Laplace equations via a perturbation	6
Two models for sandpile growth in weighted graphs	6
A family of predictor–corrector schemes for a class of variational inequalities	6
Higher fractional differentiability for solutions to parabolic equations with double-phase growth	6
Coexistence of two species with intra- and interspecific competition in an unstirred chemostat	6
A reaction–diffusion vector-borne disease model with incubation period in almost periodic environments	6
Non-uniform dependence on initial data for the Benjamin–Ono equation	6
Double phase logistic equations with superdiffusive reaction	6
Editorial Board	6
On a limiting system of the triangular SKT competition model with large cross-diffusion and random-diffusion	6
Global boundedness and stabilization in a forager–exploiter model with logistic growth and nonlinear resource consumption	6
Dynamics of a predator–prey system with inducible defense and disease in the prey	6
Coefficient identification of the regularized p-Stokes equations	6
A bifurcation phenomenon in a singularly perturbed two-phase free boundary problem of phase transition	6
Spreading dynamics for an epidemic model of West-Nile virus with shifting environment	6
New generalization of non-autonomous Bernfeld–Haddock conjecture and its proof	6
Topological and control theoretic properties of Hamilton–Jacobi equations via Lax-Oleinik commutators	6
Editorial Board	5
Chemotaxis systems with singular sensitivity and logistic source: Boundedness, persistence, absorbing set, and entire solutions	5
Pattern formation and qualitative analysis for a vegetation-water model with diffusion	5
Grow-up of weak solutions in a p-Laplacian pseudo-parabolic problem	5
Spatio-temporal dynamics of a reaction–diffusion–advection food-limited system with nonlocal delayed competition and Dirichlet boundary condition	5
Variational approach to the periodic problem for a nonlinear parabolic equation in Musielak–Orlicz spaces	5
The Riemann problem for the nonisentropic Baer–Nunziato model of two-phase flows	5
A hybrid Krasnosel’skiĭ-Schauder fixed point theorem for systems	5
Regularity for the steady Stokes-type flow of incompressible Newtonian fluids in some generalized function settings	5
Existence of solution for a singular elliptic system with convection terms	5
Topological properties of solution sets for nonlinear evolution hemivariational inequalities and applications	5
Decay mild solutions of Hilfer fractional differential variational–hemivariational inequalities	5
Global boundedness in a two-species attraction–repulsion chemotaxis system with two chemicals and nonlinear productions	5
Traveling wave fronts for a diffusive spruce budworm model with spatio-temporal delay	5
Determination of unknown thermal coefficients in a non-classical Stefan problem	5
An L∞	5
Global existence and stabilization in a diffusive predator–prey model with population flux by attractive transition	5
Ill-posedness for the Euler equations in Besov spaces	5
Self-similar solutions for the heat equation with a positive non-Lipschitz continuous, semilinear source term	5
Editorial Board	5
Weak solutions for contact models involving a class of generalized materials	5
Global attractors for Moore–Gibson–Thompson thermoelastic extensible beams and Berger plates	5
Global bounded weak solution for a 3D chemotaxis-Stokes system with slow 5

Homogenization of high-contrast media in finite-strain elastoplasticity	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
A class of time-dependent quasi-variational–hemivariational inequalities with applications	5
Periodic solutions to history-dependent differential hemivariational inequalities with applications	5
Boundedness of solutions in a predator–prey system with density-dependent motilities and indirect pursuit–evasion interaction	5
Agent-based pattern formation in a chemostat system with asymmetric dispersal	5
Measure differential equation with a nonlinear growth/decay term	5
Local stability and topological structure of completely integrable differential systems	5
Analysis of a degenerate reaction–diffusion anthrax model with spatial heterogeneity	5
Erratum to “Chemotaxis systems with singular sensitivity and logistic source: Boundedness, persistence, absorbing set, and entire solutions” [Nonlinear Anal. Real World Appl. 69 (2023) 27]	5
Boundary null controllability of degenerate heat equation as the limit of internal controllability	5
On the long-time behaviour of solutions to unforced evolution Navier–Stokes equations under Navier boundary conditions	5
On radial solutions for a Fully Non Linear degenerate or singular PDE	4
Dynamical boundary problem for Dirichlet-to-Neumann operator with critical Sobolev exponent and Hardy potential	4
On global classical solutions of the three dimensional non-relativistic Vlasov–Darwin System	4
Global solution to the Cauchy problem for nonlinear three-dimensional thermoelasticity of nonsimple materials	4
Continuous dependence on the initial and flux functions for solutions of conservation laws	4
Multiple solutions for nonlinear Sturm–Liouville differential equations with possibly negative variable coefficients	4
Unique temperature distribution and explicit efficiency formula for one-dimensional thermoelectric generators under constant Seebeck coefficients	4
A dynamic Euler–Bernoulli beam equation frictionally damped on an elastic foundation	4
Degenerate codimension-2 cusp of limit cycles in a Holling–Tanner model with harvesting and anti-predator behavior	4
Undercompressive phase transitions for the model of fluid flows in a nozzle with discontinuous cross-sectional area	4
Superlinear degradation in a doubly degenerate nutrient taxis system	4
Propagation dynamics of a Lotka–Volterra competition model with stage structure in time–space periodic environment	4
Lyapunov-type stability criterion for periodic generalized Camassa–Holm equations	4
Existence of global weak solutions to 2D reduced gravity two-and-a-half layer model	4
Global weak solutions to a quantum kinetic-fluid model with large initial data	4
Classification of positive solutions to p-Laplace equations with crit	4
Global existence and boundedness of solutions to a two-dimensional forager-exploiter model with/without logistic source	4
Variational methods for fluid–structure interaction and porous media	4
Coexistence states for a class of prey–predator models with population flux by attractive transition	4
On a Mathematical model for traveling sand dune	4
Asymptotic behaviors of global weak solutions for an epitaxial thin film growth equation	4
A bi-virus competing model with time-varying susceptibility and repeated infection	4
Solitary waves of a generalized Ostrovsky equation	4
Local well-posedness of Boussinesq equations for MHD convection with fractional thermal diffusion in sobolev space	4
A diffusive Lotka–Volterra model with Robin boundary condition and sign-changing growth rates in time-periodic environment	4
Unbounded perturbation of an evolution hemivariational inequality	4
Multiple solutions to quasi-linear elliptic Robin systems	4
Regularity results for solutions to a class of obstacle problems	4
On a fourth order equation describing single-component film models	4
Rigorous estimates for the quasi-steady state approximation of the Michaelis–Menten reaction mechanism at low enzyme concentrations	4
Differential variational–hemivariational inequalities with application to contact mechanics	4
Global existence and boundedness in a chemotaxis-convection model with sensitivity functions for tumor angiogenesis	4
A quasilinear attraction–repulsion chemotaxis system with logistic source	4
Dynamics for a nonlocal diffusive SIR epidemic model with double free boundaries	4
Persistence or disappearance dynamics of a vector-borne disease model with climate change and distributed delay	4
Orbital stability of solitary waves on a ferrofluid jet	4
On the classification and evolution of bifurcation curves for a quasilinear regularized MEMS model	4
Exponential decay rate of a nonlinear suspension bridge model by a local distributed and boundary dampings	4
Qualitative analysis of smooth solution for the Euler equations of Chaplygin gas	4
Global well-posedeness and large time asymptotic behavior of 2D density-dependent Boussinesq equations of Korteweg type with vacuum	4
Global well-posedness to a chemotaxis-Stokes system	4
A note on a very recent paper “Feedback control for nonlinear evolutionary equations with applications”	4
Energy equality for the tropical climate models	4
Weak–strong uniqueness for heat conducting non-Newtonian incompressible fluids	4
A multiscale quasilinear system for colloids deposition in porous media: Weak solvability and numerical simulation of a near-clogging scenario	4
Invasion analysis of a reaction–diffusion-advection predator–prey model in spatially heterogeneous environment	4
Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks	4
Stability analysis of an age-structured epidemic model with vaccination and standard incidence rate	4
Stability results for a hierarchical size-structured population model with distributed delay	4
Penalty method for solving a class of stochastic differential variational inequalities with an application	4
Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation	4
Global entropy solutions to a degenerate parabolic–parabolic chemotaxis system for flux-limited dispersal	4
Vanishing viscosity limit for hyperbolic system of Temple class in 1-d with nonlinear viscosity	4
Generalized anisotropic elliptic Wentzell problems with nonstandard growth conditions	4
On the global well-posedness for the incompressible four-component chemotaxis-Navier–Stokes equations with gradient-dependent flux limitation in 4
Global existence in a food chain model consisting of two competitive preys, one predator and chemotaxis	4
Existence of weak solutions for nonisothermal immiscible compressible two-phase flow in porous media	4
A remark on the regularity criterion for the 3D Navier–Stokes equations in terms of two vorticity components	4