Journal of Differential Equations

Papers
(The TQCC of Journal of Differential Equations 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 2021-04-01 to 2025-04-01.)
ArticleCitations
Spatial dynamics of a generalized cholera model with nonlocal time delay in a heterogeneous environment123
W1,1 stability for the LSI76
Existence and multiplicity of sign-changing solutions for quasilinear Schrödinger equations with sub-cubic nonlinearity75
Hydrostatic approximation around a convex layer in a thin domain70
Dynamics of a class of time-period strongly 2-cooperative system: Integer-valued Lyapunov function and embedding property of limit sets57
Spatial propagation phenomena for diffusive SIS epidemic models56
Forced waves of a reaction-diffusion model in shifting habitat with an interface51
Existence of generalized solitary waves for a diatomic Fermi-Pasta-Ulam-Tsingou lattice49
Solutions to a chemotaxis system with spatially heterogeneous diffusion sensitivity49
Quadratic, homogeneous, and Kolmogorov vector fields on S1 × S2 and S2 × S148
On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols47
On an age-structured juvenile-adult model with harvesting pulse in moving and heterogeneous environment47
Large time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in bounded domain47
Global well-posedness and stability of classical solutions to the pressureless Navier-Stokes system in 3D47
Liouville comparison theory for breakdown of Euler-Arnold equations47
Traveling wave solutions to Brenner-Navier-Stokes-Fourier system47
Prescribing curvatures in the disk via conformal changes of the metric: The case of negative Gaussian curvature46
The number of Kaplan-Yorke periodic solutions for delay differential equations45
On the uniqueness for the heat equation with density on infinite graphs45
Coexistence of heterogeneous predator-prey systems with prey-dependent dispersal44
On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization44
Subsonic time-periodic solution to compressible Euler equations with damping in a bounded domain43
Optimal control of nonconvex sweeping processes with separable endpoints: Nonsmooth maximum principle for local minimizers42
Concentration phenomenon of single phytoplankton species with changing-sign advection term42
Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations42
Editorial Board40
On fractional and nonlocal parabolic mean field games in the whole space40
An application of moment method to uniform boundary controllability property of a semidiscrete 1-d wave equation with a lower rate vanishing viscosity39
Linear stability analysis for a free boundary problem modeling tumor growth in the presence of high-molecular mass drugs38
New wave breaking for the Camassa-Holm equation38
Editorial Board38
On some regularity properties for the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov Equation35
Editorial Board34
Editorial Board34
Large deviations principle via Malliavin calculus for the Navier–Stokes system driven by a degenerate white-in-time noise32
Editorial Board29
Dissipative solutions and Markov selection to the complete stochastic Euler system29
Editorial Board28
On existence, stability and many-particle approximation of solutions of 1D Hughes' model with linear costs28
Semilinear Schrödinger equations with a critical scale of the singular electromagnetic field28
Editorial Board27
A generalized index theory for non-Hamiltonian system27
Quantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentials27
On local well-posedness of nonlinear dispersive equations with partially regular data26
Partial functional differential equations and Conley index25
Editorial Board24
Global mild solutions to three-dimensional magnetohydrodynamic equations in Morrey spaces24
Editorial Board24
Global solvability for nonlinear wave equations with singular potential24
Continuous family of equilibria of the 3D axisymmetric relativistic Vlasov-Maxwell system24
Classical flows of vector fields with exponential or sub-exponential summability24
Gevrey estimates of the resolvent and sub-exponential time-decay for the heat and Schrödinger semigroups. II23
Editorial Board23
Stability of coupled jump diffusions and applications23
Fine asymptotic expansion of the ODE's flow23
Boundedness of solutions to an attraction-repulsion chemotaxis model in 22
Editorial Board22
Traveling waves for the Keller-Segel-FKPP equation with strong chemotaxis22
Editorial Board22
A Gauss curvature flow approach to the torsional Minkowski problem21
A coupled Hartree system with Hardy-Littlewood-Sobolev critical exponent: Existence and multiplicity of high energy positive solutions21
Editorial Board21
Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts21
On the reducibility of two-dimensional quasi-periodic systems with Liouvillean basic frequencies and without non-degeneracy condition21
Editorial Board20
Editorial Board20
A class of third order quasilinear partial differential equations describing spherical or pseudospherical surfaces20
Long-time behavior for evolution processes associated with non-autonomous nonlinear Schrödinger equation20
Editorial Board20
Global existence for the p-Sobolev flow20
Emergent behaviors of the Justh-Krishnaprasad model with uncertain communications20
Smooth dynamics of semilinear thermoelastic systems with variable thermal coefficients20
Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations19
Smooth dependence of nonautonomous linearization on parameters19
Stochastic equations with time-dependent singular drift19
Editorial Board19
The uniqueness of the slowly uniformly rotating supermassive star for a given total mass19
Editorial Board19
On a class of globally analytic hypoelliptic sums of squares19
The Rayleigh-Taylor instability of incompressible Euler equations in a horizontal slab domain19
Editorial Board18
Editorial Board18
Hölder continuity of parabolic quasi-minimizers on metric measure spaces18
The averaging principle for non-autonomous slow-fast stochastic differential equations and an application to a local stochastic volatility model18
On the Fredholm Lagrangian Grassmannian, spectral flow and ODEs in Hilbert spaces18
Well posedness of general cross-diffusion systems18
Existence of standing pulse solutions to a skew-gradient system18
Reflected dynamics: Viscosity analysis for L18
Editorial Board18
Linear parabolic operators of Monge-Ampère type I: Nondivergence-form degenerate/singular PDEs18
Editorial Board18
Editorial Board18
Spreading speeds and pulsating fronts for a field-road model in a spatially periodic habitat18
Editorial Board17
Systems of parabolic equations with delays: Continuous dependence on parameters17
Well-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditions17
Existence of smooth solutions for a class of Euclidean bosonic equations17
Solutions for an Euclidean bosonic equation via variational and bifurcation methods17
The principal eigenvalue for partially degenerate and periodic reaction-diffusion systems with time delay17
Editorial Board17
The small mass limit for long time statistics of a stochastic nonlinear damped wave equation17
Convergence rate for degenerate partial and stochastic differential equations via weak Poincaré inequalities17
Global existence and blow-up phenomenon for a nonlocal semilinear pseudo-parabolic p-Laplacian equation17
Properties of eigenfunctions of a boundary value problem for ordinary differential equations of fourth-order with boundary conditions depending on the spectral parameter17
A global compactness result with applications to a nonlinear elliptic equation arising in astrophysics16
Editorial Board16
Stability of smooth periodic traveling waves in the Degasperis–Procesi equation16
Solutions of linear systems of moment differential equations via generalized matrix exponentials16
Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator16
Profile decomposition and scattering for general nonlinear Schrödinger equations16
On some weighted fourth-order equations16
Global-in-x stability of Prandtl layer expansions for steady magnetohydrodynamics flows over a moving plate16
Non-existence of the global attractor for a partly dissipative reaction-diffusion system with hysteresis16
Limit cycles bifurcated from piecewise Hamiltonian systems by Melnikov functions of any order16
One-phase free boundary solutions of finite Morse index16
Spectral optimization for weighted anisotropic problems with Robin conditions16
Global classical solutions to a higher-dimensional doubly haptotactic cross-diffusion system modeling oncolytic virotherapy15
On the asymptotic stability of N-soliton solution for the short pulse equation with weighted Sobolev initial data15
Energy conservation of weak solutions for the incompressible Euler equations via vorticity15
Sturmian measures can be sublinearly approximated by periodic measures15
On 2D Eulerian limits à la Kuksin15
A new result for global solvability in a singular chemotaxis-growth system with indirect signal production15
Asymptotic mean value formulas, nonlocal space-time parabolic operators and anomalous tug-of-war games15
Global strong solution for 3D compressible heat-conducting magnetohydrodynamic equations revisited15
Growth of subsolutions to fully nonlinear equations in halfspaces15
Invasion dynamics of a predator-prey system in closed advective environments15
Classification of blow-up and global existence of solutions to an initial Neumann problem15
Self-similar solutions preventing finite time blow-up for reaction-diffusion equations with singular potential15
Monotonicity properties for the variational Dirichlet eigenvalues of the p-Laplace operator15
Editorial Board15
Large-time asymptotic behavior for the classical thermoelastic system15
Suppression of epitaxial thin film growth by mixing14
Well-posed and stable problems for Prandtl's boundary layer system14
Existence of exact solution of the Susceptible-Exposed-Infectious-Recovered (SEIR) epidemic model14
Optimal control strategies for the sterile mosquitoes technique14
Creating semiflows on simplicial complexes from combinatorial vector fields14
Editorial Board14
Existence and uniqueness of solutions for forward and backward nonlocal Fokker-Planck equations with time-dependent coefficients14
Uniform stability and chaotic dynamics in nonhomogeneous linear dissipative scalar ordinary differential equations14
Homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder14
Varifold solutions of the two-phase three-dimensional magnetohydrodynamic equations14
On the fractional relativistic Schrödinger operator14
Weak Harnack inequality for a mixed local and nonlocal parabolic equation14
Global dynamics of Kato's solutions for the 3D incompressible micropolar system14
L estimates for the Caffarelli-Silvestre extension operators14
Weak-strong uniqueness and vanishing viscosity for incompressible Euler equations in exponential spaces14
Strong solutions for 1D compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity14
The Cahn–Hilliard equation with a nonlinear source term13
Determining an anisotropic conductivity by boundary measurements: Stability at the boundary13
C1,-regularity for functions in solution classes and its application to parabolic normalized p-Laplace equations13
Uniqueness of positive radial solutions of superlinear elliptic equations in annuli13
A weighted Sobolev regularity theory of the parabolic equations with measurable coefficients on conic domains in 13
Polynomial differential equations over the quaternions13
Remarks on interior regularity criteria without pressure for the Navier-Stokes equations13
A local conditional variational principle of pressures and local conditional equilibrium states13
Stokes and Navier-Stokes equations subject to partial slip on uniform C2,1-domains in L-spaces13
Decay of entropy solutions of a scalar conservation law beyond a stationary ergodic setting13
Stability and instability of standing waves for the fractional nonlinear Schrödinger equations13
Homogenization of Richards' equations in multiscale porous media with soft inclusions13
Invariant manifolds of homoclinic orbits and the dynamical consequences of a super-homoclinic: A case study in 13
Existence of steady very weak solutions to Navier-Stokes equations with non-Newtonian stress tensors13
Asymptotic behaviour of the heat equation in an exterior domain with general boundary conditions I. The case of integrable data13
Linear modulational and subharmonic dynamics of spectrally stable Lugiato-Lefever periodic waves13
A sharp Moser-Trudinger type inequality involving L norm in R13
Global solution to the cubic Dirac equation in two space dimensions13
On the rigidity from infinity for nonlinear Alfvén waves13
Induced delay equations12
Existence of a BV solution for a mean curvature equation12
The Stokes operator on manifolds with cylindrical ends12
An Alexandrov-Bakelman-Pucci estimate for an anisotropic Laplacian with positive drift in unbounded domains12
Removable time-dependent singularities of solutions to the Stokes equations12
On the unique solvability of radiative transfer equations with polarization12
Small linear perturbations of fractional Choquard equations with critical exponent12
Polynomial ergodic averages of measure-preserving systems acted by Z12
On the asymptotic behavior of the one-dimensional motion of the polytropic ideal gas with degenerate heat conductivity12
Determining coefficients for a fractional p-Laplace equation from exterior measurements12
Geometric analysis of nonlinear differential-algebraic equations via nonlinear control theory12
Higher-order asymptotic expansion for abstract linear second-order differential equations with time-dependent coefficients12
The α-dependence of the invariant measure of stochastic real Ginzburg-Landau equation driven by α-stable Lévy processes12
Recursive properties of generalized ordinary differential equations and applications12
Small data solutions for the Euler-Poisson-Darboux equation with a power nonlinearity12
Bifurcations in Holling-Tanner model with generalist predator and prey refuge12
Stabilization in a chemotaxis-consumption model involving Robin-type boundary conditions12
Existence of a traveling wave solution in a free interface problem with fractional order kinetics12
Asymptotic behavior in time of solution for the cubic nonlinear Schrödinger equation on the tadpole graph12
Miura transformations and large-time behaviors of the Hirota-Satsuma equation12
On some partial data Calderón type problems with mixed boundary conditions12
A note on endpoint L-continuity of wave operators for classical and higher order Schrödinger operators11
Chemotaxis driven formation of time periodic pattern and steady state pattern11
Long time well-posedness and full justification of a Whitham-Green-Naghdi system11
Mass-conserving weak solutions to Oort-Hulst-Safronov coagulation equation with singular rates11
On principal eigenvalues of measure differential equations and a patchy Neumann eigenvalue problem11
Nonlocal planar Schrödinger-Poisson systems in the fractional Sobolev limiting case11
A necessary and sufficient condition on algebraic limit cycles of a hybrid van der Pol-Rayleigh oscillator11
Solutions of Schrödinger equations with symmetry in orientation preserving tetrahedral group11
Concentration phenomena of solutions for critical perturbed Hénon problems11
Spectral analysis and long-time asymptotics for the Harry Dym-type equation with the Schwartz initial data11
Recursiveness on impulsive dynamical systems: Minimality, non-wandering points, the center of Birkhoff and attractors11
On the asymptotic behavior of solutions to a structural acoustics model11
A free boundary problem for an elliptic system11
Poincaré-Perron problem for high order differential equations in the class of almost periodic type functions11
Uniqueness and non-degeneracy of ground states for Choquard equations with fractional Laplacian11
The one-dimensional stochastic Keller–Segel model with time-homogeneous spatial Wiener processes11
Well-posedness and attractors for a 2D Boussinesq system with partial dissipation11
Wasserstein convergence rate of invariant measures for stochastic Schrödinger delay lattice systems11
Coexistence and competitive exclusion in a time-periodic Lotka-Volterra competition-diffusion system11
The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case10
Long time behavior of a parabolic p-Laplacian equation coupled to a compartmental ODE system with an induction threshold phenomenon10
Sharp decay rates of degenerate hyperbolic-parabolic coupled system: Rectangular domain vs one-dimensional domain10
Stability analysis of an overdetermined fourth order boundary value problem via an integral identity10
A nonlinear semigroup approach to Hamilton-Jacobi equations–revisited10
Families of periodic orbits: Closed 1-forms and global continuability10
Positivity of temperature for some non-isothermal fluid models10
Persistence of periodic traveling waves and Abelian integrals10
A 1-Laplacian equation with critical and discontinuous nonlinearities10
Traveling wave phenomena of inhomogeneous half-wave equation10
Existence and nonexistence of solutions to a critical biharmonic equation with logarithmic perturbation10
Optimal control problem for nonlinear optical communications systems10
On the quantum Boltzmann equation near Maxwellian and vacuum10
Vertical and horizontal square functions on a class of non-doubling manifolds10
Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry10
Regular Lagrangian flow for wavelike vector fields and the Vlasov-Maxwell system10
General class of optimal Sobolev inequalities and nonlinear scalar field equations10
Nonlinear stability of multi-solitons for the Hirota equation10
Traveling waves and their spectral stability in Keller–Segel system with large cell diffusion10
New lower bounds of the number of critical periods in reversible centers10
Determining functionals and finite-dimensional reduction for dissipative PDEs revisited10
Corrigendum to “Poincaré inequalities and Newtonian Sobolev functions on noncomplete metric spaces” [J. Differ. Equ. 266 (2019) 44–69]10
Long-time asymptotics of the Hunter-Saxton equation on the line10
Global strong solutions and large time behavior to a micro-macro model for compressible polymeric fluids near equilibrium10
On the dynamics of thin layers of viscous flows inside another viscous fluid10
Well-posedness of logarithmic spiral vortex sheets10
Interior and boundary regularity criteria for the 6D steady Navier-Stokes equations10
Local well-posedness of unsteady potential flows near a space corner of right angle10
Vanishing capillarity limit of a generic compressible two–fluid model with common pressure10
Static and evolution equations with degenerate curls10
Transonic shock solutions of the steady Euler flow in quasi-one-dimensional convergent nozzles10
Nonlinear Schrödinger equations with concave-convex nonlinearities10
A localized criterion for the regularity of solutions to Navier-Stokes equations10
The convergence problem of the generalized Korteweg-de Vries equation in Fourier-Lebesgue space10
Global analyticity and the lower bounds of analytic radius for the Chaplygin gas equations with source terms10
Global dynamics for a chemotaxis consumption system with signal-dependent motility and logistic source10
Compactness of Green operators with applications to semilinear nonlocal elliptic equations10
Large deviations for the two-time-scale stochastic convective Brinkman-Forchheimer equations9
Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds I: Bakry-Émery curvature bounded below9
Uniqueness, symmetry and convergence of positive ground state solutions of the Choquard type equation on a ball9
Boundedness for the chemotaxis system with logistic growth9
Existence, uniqueness and exponential ergodicity under Lyapunov conditions for McKean-Vlasov SDEs with Markovian switching9
Parametrix problem for the Korteweg–de Vries equation with steplike initial data9
The optimal time-decay estimates for 2-D inhomogeneous Navier-Stokes equations9
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