Nonlinear Analysis-Real World Applications

Papers
(The TQCC of Nonlinear Analysis-Real World Applications is 4. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-01-01 to 2026-01-01.)
ArticleCitations
Proof of two conjectures for perturbed piecewise linear Hamiltonian systems51
Enriched spatiotemporal dynamics of a model of Ebola transmission with a composite incidence function and density-independent treatment47
Global well-posedness and large time behaviors for the generalized MHD equations39
Gap functions and global error bounds for differential variational–hemivariational inequalities36
Existence of positive periodic solutions of several types of biological models with periodic coefficients34
Optimal decay rates and space–time analyticity of solutions to the Patlak-Keller–Segel equations32
N-wave-like properties for entropy solutions to scalar parabolic–hyper29
The existence of minimal large positive solutions for a class of nonlinear cooperative systems26
Critical mass phenomenon in a chemotaxis fluid system25
Editorial Board24
Propagation dynamics of a nonlocal periodic organism model with non-monotone birth rates24
Quasi-neutral limit for the full Euler–Poisson system in one-dimensional space24
Global existence and boundedness in a 3D predator–prey system with nonlinear diffusion and prey-taxis23
Global dynamics of a three-species spatial food chain model with alarm-taxis and logistic source22
Spreading speed and traveling wave solutions of a reaction–diffusion Zika model with constant recruitment20
Dynamics of a predator–prey model with nonlinear growth rate and B–D functional response19
Bilinear optimal control for chemotaxis model: The case of two-sidedly degenerate diffusion with Volume-Filling Effect17
Blow-up solutions of a chemotaxis model with nonlocal effects16
The effect of protection zone on asymptotic dynamics of a reaction–diffusion model with a free boundary or unbounded boundary16
Phase separation and morphology formation in interacting ternary mixtures under evaporation: Well-posedness and numerical simulation of a non-local evolution system16
Traveling wave solutions of a cholera transmission model with nonlocal diffusion and spatio-temporal delay15
Homogenization of a finite plasticity model of layered structures with two slip systems15
Dynamics of an HIV infection model with virus diffusion and latently infected cell activation15
Well-posedness of constrained evolutionary differential variational–hemivariational inequalities with applications14
The global classical solution to compressible system with fractional viscous term14
Sensitivity analysis of the non-linear Fokker–Planck equations with uncertainty14
Regularity estimates for the parabolic p(14
Wave-breaking phenomena for the generalized Camassa–Holm equation with dual-power nonlinearities14
Behavior in time of solutions to a degenerate chemotaxis system with flux limitation14
Existence results for a nonlinear coupled radiative–conductive heat transfer system13
Note on global stability of 2D anisotropic Boussinesq equations near the hydrostatic equilibrium13
The local well-posedness of the coupled Ostrovsky system with low regularity13
Weak asymptotic analysis approach for first order scalar conservation laws with nonlocal flux13
Global existence of bounded solutions to the relativistic BGK model13
Dynamics of a reaction–diffusion waterborne pathogen model with free boundaries12
On a Lotka–Volterra weak competition system with Robin and free boundary conditions12
The diffusive Lotka–Volterra competition model in fragmented patches I: Coexistence12
The role of manipulative trophically transmitted parasites in the stability of a predator–prey community11
Rayleigh–Taylor instability of 3D inhomogeneous incompressible Euler equations with damping in a horizontal slab11
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 10
Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method10
Two-phase Stefan problem for generalized heat equation with nonlinear thermal coefficients10
Editorial Board10
Persistence and zero-Hopf equilibrium in the tritrophic food chain model with Holling functional response10
Global well-posedness of Chemotaxis-Navier–Stokes system with refined rough initial data in10
Large relaxation oscillation in slow–fast excitable Brusselator oscillator10
Adaptive control for nonlinear cyber–physical systems in the presence of actuator attacks9
A simple proof of uniqueness for the nonlocal positive solutions9
A note to semilinear de Sitter models in 1d with balanced mass and dissipation9
On a bi-stability regime and the existence of odd subharmonics in a Comb-drive MEMS model with cubic stiffness9
Global dynamics of diffusive Hindmarsh–Rose equations with memristors9
Editorial Board9
A necessary condition for extremality of solutions to autonomous obstacle problems with general growth9
Existence of positive and nonnegative eigenfunctions for a fourth order operator with definite and indefinite weights9
Second-order differential inclusions with two small parameters9
An analytical approach to applying the Lyapunov direct method to an epidemic model with age and stage structures9
Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem9
Axi-symmetric solutions for active vector models generalizing 3D Euler and electron–MHD equations9
Boundedness and persistence of traveling wave solutions for a non-cooperative lattice-diffusion system with time delay8
Normal forms of Hopf–Bogdanov–Takens bifurcation for retarded differential equations8
Persistence and positive steady states of a two-stage structured population model with mixed dispersals8
Higher order asymptotic expansions for the convection–diffusion equation in the Fujita-subcritical case8
Bifurcation and dynamics of periodic solutions of MEMS model with squeeze film damping8
Nonlinear mountain waves with active precipitation8
Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory8
On the number of limit cycles in piecewise smooth generalized Abel equations with two asymmetric zones8
Homogenization of a nonlinear drift–diffusion system for multiple charged species in a porous medium8
Global Dynamics of Planar Piecewise Linear Inelastic systems having straight lines as switching manifolds8
On second order differential inclusion driven by quasi-variational–hemivariational inequalities8
Improved decay results for micropolar flows with nonlinear damping8
On a multiple time-scales perturbation analysis of a Stefan problem with a time-dependent Dirichlet boundary condition8
Blow-up for a pseudo-parabolic equation with variable nonlinearity depending on 8
Asymptotic analysis for an age-structured predator–prey model with Beddington–Deangelis functional response8
Periodic traveling waves for a diffusive influenza model with treatment and seasonality8
Boundedness in a fully parabolic attraction–repulsion chemotaxis system with nonlinear diffusion and signal-dependent sensitivity7
Asymptotic behaviour of general nonautonomous Nicholson equations with mixed monotonicities7
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
Global well-posedness of 2D Hyperbolic perturbation of the Navier–Stokes system in a thin strip7
On the existence and monotonicity of pulsating traveling waves for reaction–diffusion–advection systems in high dimensional and periodic media7
Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity7
Linearizability of planar polynomial Hamiltonian systems7
Leray–Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress–strain relation7
The Riemann problem for a generalised Burgers equation with spatially decaying sound speed. II General qualitative theory and numerical analysis7
Global semigroup of conservative weak solutions of the two-component Novikov equation7
Global dynamics of a diffusive viral infection model with spatial heterogeneity7
Derivation of a bidomain model for bundles of myelinated axons7
A new regularized stochastic approximation framework for stochastic inverse problems7
Self-similar solutions to a flux-limited Keller–Segel system7
Energy equality of weak solutions of the Navier–Stokes–Fourier equations allowing vacuum7
Large Ericksen number limit for the 2D general Ericksen–Leslie system7
Improvement of several regularity criteria for the Navier–Stokes equations7
Modeling and analysis of a two-strain immuno-epidemiological model with reinfection7
Minimum energy with infinite horizon: From stationary to non-stationary states7
Optimal decay rate of the two-fluid incompressible Navier–Stokes–Fourier–Poisson system with Ohm’s law7
Monostable pulsating traveling waves in discrete periodic media with delay7
Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments7
Junction in a thin multi-domain for nonsimple grade two materials in BH6
Editorial Board6
Topological and control theoretic properties of Hamilton–Jacobi equations via Lax-Oleinik commutators6
Anisotropic Chan–Vese segmentation6
Stability of viscous contact wave for the radiative and reactive gas with free boundary6
Existence and asymptotic properties of aerotaxis model with the Fokker–Planck type diffusion6
Global boundedness and stabilization in a forager–exploiter model with logistic growth and nonlinear resource consumption6
Boundary null controllability of degenerate heat equation as the limit of internal controllability6
Coefficient identification of the regularized p-Stokes equations6
Two models for sandpile growth in weighted graphs6
Coexistence of two species with intra- and interspecific competition in an unstirred chemostat6
A reaction–diffusion vector-borne disease model with incubation period in almost periodic environments6
The Fokker–Planck–Boltzmann equation in low regularity space6
On the boundary stabilization of the KdV–KdV system with time-dependent delay6
Double phase logistic equations with superdiffusive reaction6
A Liouville-type theorem for the stationary MHD equations6
Homogenization of high-contrast media in finite-strain elastoplasticity6
Avian–human influenza epidemic model with diffusion, nonlocal delay and spatial homogeneous environment6
A bifurcation phenomenon in a singularly perturbed two-phase free boundary problem of phase transition6
Nodal solutions for anisotropic (p,6
Spreading dynamics for an epidemic model of West-Nile virus with shifting environment6
New generalization of non-autonomous Bernfeld–Haddock conjecture and its proof6
Singular double phase problems with convection6
Positive steady-state solutions for predator–prey systems with prey-taxis and Dirichlet conditions6
Non-uniform dependence on initial data for the Benjamin–Ono equation6
Parabolic-scalings on large-time behavior of the incompressible Navier–Stokes flow6
Nontrivial solutions to affine p-Laplace equations via a perturbation 6
Global bounded weak solution for a 3D chemotaxis-Stokes system with slow 6
A family of predictor–corrector schemes for a class of variational inequalities6
Higher fractional differentiability for solutions to parabolic equations with double-phase growth6
Regularity for the steady Stokes-type flow of incompressible Newtonian fluids in some generalized function settings5
Global attractors for Moore–Gibson–Thompson thermoelastic extensible beams and Berger plates5
On a limiting system of the triangular SKT competition model with large cross-diffusion and random-diffusion5
Dynamics of a predator–prey system with inducible defense and disease in the prey5
A class of time-dependent quasi-variational–hemivariational inequalities with applications5
Traveling wave fronts for a diffusive spruce budworm model with spatio-temporal delay5
Determination of unknown thermal coefficients in a non-classical Stefan problem5
Boundedness of solutions in a predator–prey system with density-dependent motilities and indirect pursuit–evasion interaction5
Local stability and topological structure of completely integrable differential systems5
Measure differential equation with a nonlinear growth/decay term5
Editorial Board5
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
Boundedness in a two-dimensional attraction–repulsion Navier–Stokes system with consumption of chemoattractant and sub-quadratic degradation5
On the long-time behaviour of solutions to unforced evolution Navier–Stokes equations under Navier boundary conditions5
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, 20045
Weak solutions for contact models involving a class of generalized materials5
Existence of solution for a singular elliptic system with convection terms5
Periodic solutions to history-dependent differential hemivariational inequalities with applications5
Spatio-temporal dynamics of a reaction–diffusion–advection food-limited system with nonlocal delayed competition and Dirichlet boundary condition5
Self-similar solutions for the heat equation with a positive non-Lipschitz continuous, semilinear source term5
The Riemann problem for the nonisentropic Baer–Nunziato model of two-phase flows5
Analysis of a degenerate reaction–diffusion anthrax model with spatial heterogeneity5
Editorial Board5
Topological properties of solution sets for nonlinear evolution hemivariational inequalities and applications5
Decay mild solutions of Hilfer fractional differential variational–hemivariational inequalities5
Global boundedness in a two-species attraction–repulsion chemotaxis system with two chemicals and nonlinear productions5
Variational approach to the periodic problem for a nonlinear parabolic equation in Musielak–Orlicz spaces5
Pattern formation and qualitative analysis for a vegetation-water model with diffusion5
An L5
Chemotaxis systems with singular sensitivity and logistic source: Boundedness, persistence, absorbing set, and entire solutions5
Ill-posedness for the Euler equations in Besov spaces5
Grow-up of weak solutions in a p-Laplacian pseudo-parabolic problem5
A hybrid Krasnosel’skiĭ-Schauder fixed point theorem for systems5
Existence of weak solutions for nonisothermal immiscible compressible two-phase flow in porous media4
Global existence and boundedness of solutions to a two-dimensional forager-exploiter model with/without logistic source4
On radial solutions for a Fully Non Linear degenerate or singular PDE4
Orbital stability of solitary waves on a ferrofluid jet4
On the Fučík spectrum of the p 4
Stability results for a hierarchical size-structured population model with distributed delay4
A diffusive Lotka–Volterra model with Robin boundary condition and sign-changing growth rates in time-periodic environment4
Multiple solutions for nonlinear Sturm–Liouville differential equations with possibly negative variable coefficients4
Solitary waves of a generalized Ostrovsky equation4
Persistence or disappearance dynamics of a vector-borne disease model with climate change and distributed delay4
A bi-virus competing model with time-varying susceptibility and repeated infection4
Classification of positive solutions to p-Laplace equations with crit4
On a fourth order equation describing single-component film models4
A HANDY-type model with non renewable resources4
Superlinear degradation in a doubly degenerate nutrient taxis system4
Continuous dependence on the initial and flux functions for solutions of conservation laws4
Multiple solutions to quasi-linear elliptic Robin systems4
Global entropy solutions to a degenerate parabolic–parabolic chemotaxis system for flux-limited dispersal4
Global weak solutions to a quantum kinetic-fluid model with large initial data4
Degenerate codimension-2 cusp of limit cycles in a Holling–Tanner model with harvesting and anti-predator behavior4
Variational methods for fluid–structure interaction and porous media4
Agent-based pattern formation in a chemostat system with asymmetric dispersal4
Global well-posedeness and large time asymptotic behavior of 2D density-dependent Boussinesq equations of Korteweg type with vacuum4
On the global well-posedness for the incompressible four-component chemotaxis-Navier–Stokes equations with gradient-dependent flux limitation in 4
Global solution to the Cauchy problem for nonlinear three-dimensional thermoelasticity of nonsimple materials4
Solvability of the fractional hyperbolic Keller–Segel system4
Propagation dynamics of a Lotka–Volterra competition model with stage structure in time–space periodic environment4
Unbounded perturbation of an evolution hemivariational inequality4
Rigorous estimates for the quasi-steady state approximation of the Michaelis–Menten reaction mechanism at low enzyme concentrations4
Energy equality for the tropical climate models4
Lyapunov-type stability criterion for periodic generalized Camassa–Holm equations4
Projected solutions of generalized quasivariational problems in Banach spaces4
Stability analysis of an age-structured epidemic model with vaccination and standard incidence rate4
Asymptotic behaviors of global weak solutions for an epitaxial thin film growth equation4
Smoothness effects of a quadratic damping term of mixed type on a chemotaxis-type system modeling propagation of urban crime4
Generalized anisotropic elliptic Wentzell problems with nonstandard growth conditions4
A note on a very recent paper “Feedback control for nonlinear evolutionary equations with applications”4
Global existence and boundedness in a chemotaxis-convection model with sensitivity functions for tumor angiogenesis4
Global existence and stabilization in a diffusive predator–prey model with population flux by attractive transition4
Exponential decay rate of a nonlinear suspension bridge model by a local distributed and boundary dampings4
A remark on the regularity criterion for the 3D Navier–Stokes equations in terms of two vorticity components4
Coexistence states for a class of prey–predator models with population flux by attractive transition4
Qualitative analysis of smooth solution for the Euler equations of Chaplygin gas4
Global existence in a food chain model consisting of two competitive preys, one predator and chemotaxis4
A dynamic Euler–Bernoulli beam equation frictionally damped on an elastic foundation4
On a semilinear pseudo-parabolic equation with nonlinear convolution terms4
Weak–strong uniqueness for heat conducting non-Newtonian incompressible fluids4
Asymptotic limits of dissipative turbulent solutions to a compressible two-fluid model4
Invasion analysis of a reaction–diffusion-advection predator–prey model in spatially heterogeneous environment4
Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks4
Differential variational–hemivariational inequalities with application to contact mechanics4
A quasilinear attraction–repulsion chemotaxis system with logistic source4
A multiscale quasilinear system for colloids deposition in porous media: Weak solvability and numerical simulation of a near-clogging scenario4
Penalty method for solving a class of stochastic differential variational inequalities with an application4
On global classical solutions of the three dimensional non-relativistic Vlasov–Darwin System4
Unique temperature distribution and explicit efficiency formula for one-dimensional thermoelectric generators under constant Seebeck coefficients4
Existence of global weak solutions to 2D reduced gravity two-and-a-half layer model4
Vanishing viscosity limit for hyperbolic system of Temple class in 1-d with nonlinear viscosity4
On the classification and evolution of bifurcation curves for a quasilinear regularized MEMS model4
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