OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Evolution Equations is 2. 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 2022-05-01 to 2026-05-01.)

Article	Citations
Long-time behavior of several point particles in a 1D viscous compressible fluid	26
Representation formulae for higher-order linear curvature flows	23
Large time behavior for the hyperbolic–parabolic coupled system with the regularity-loss structure	16
Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction	15
Minkowski inequality in GRW spacetimes	15
Stability of regular pullback attractors for non-autonomous dynamical systems: theoretical results and applications	13
Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions	12
Non-autonomous problem for a 2m-th order semilinear non-local parabolic equation	12
Analytical solutions to the pressureless Euler–Korteweg equations with free boundary	11
On the convergence to the Navier–Stokes–Maxwell system with solenoidal Ohm’s law	11
Stability estimates for semigroups in the Banach case	11
New regularity criteria to the 2D supercritical SQG equations	10
Norm-inflation results for the good Boussinesq equation	10
Bi-objective and hierarchical control for the Burgers equation	10
Global regularity of 3D incompressible MHD system with large vertical viscosity and no vertical magnetic resistivity on $$\mathbb {T}^3$$	10
Low regularity well-posedness for the Navier–Stokes–Darcy equations with free interface	9
Rate of convergence for reaction–diffusion equations with nonlinear Neumann boundary conditions and $${\mathcal {C}}^1$$ variation of the domain	9
Optimal control of gradient flows via the Weighted Energy-Dissipation method	9
Convergence and non-convergence phenomena in Euler–Maxwell to MHD transitions	9
Large deviation principle of stochastic evolution equations with reflection	8
The viscoelastic paradox in a nonlinear Kelvin–Voigt type model of dynamic fracture	8
Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces	7
Free surface wave-breaking in the full nonlinear water wave problem with a permanent interface in cylindrical coordinates	7
Refined decay rates of $$C_0$$-semigroups on Banach spaces	7
Critical curve for a weakly coupled system of semi-linear $$\sigma $$-evolution equations with different damping types	7

Traveling waves for nonlocal Fisher–KPP equations with diffusive delay	7
Decay of solutions to one-dimensional inhomogeneous nonlinear Schrödinger equations	7
Local null controllability of a cubic Ginzburg–Landau equation with dynamic boundary conditions	7
Well-posedness of the higher-order nonlinear Schrödinger equation on a finite interval	7
Dynamics of a generalized nonlocal dispersion SIS epidemic model	6
Global existence of weak solutions to a quasilinear chemotaxis system with consumption of chemoattractant	6
Evolution of nonsimple curves in the length-preserving locally constrained inverse curvature flow	6
Global strong solutions with large oscillations to the 3D full compressible Navier–Stokes equations without heat conductivity	6
Local well-posedness of the Cahn–Hilliard–Biot System	6
Exceptional boundary sets for fully nonlinear parabolic PDEs	6
A qualitative study of the generalized dispersive systems with time delay: the unbounded case	6
Uniqueness and regularity of weak solutions of a drift–diffusion system for perovskite solar cells	6
The modified scattering of two dimensional semi-relativistic Hartree equations	6
Well-posedness of time-fractional systems in vector-valued Hölder spaces	5
Stabilization of a transmission problem for two Rayleigh beams and a string with damping	5
Existence, uniqueness, and exponential stability for the Kirchhoff equation in whole hyperbolic space	5
Regularity of tempered asymmetric stable semigroups	5
Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements	5
Ill-posedness of the Cauchy problem for the $$\mu $$-Camassa–Holm-type equations	5
Vertical maximal functions on manifolds with ends	5
Large deviation principle for multi-scale distribution-dependent stochastic differential equations driven by fractional Brownian motions	5
Dissipative measure-valued solutions and weak–strong uniqueness for the Euler alignment system	5
Spreading speeds and forced waves of a three species competition system with nonlocal dispersal in shifting habitats	5
Higher Hölder regularity for nonlocal parabolic equations with irregular kernels	5
Global boundedness and asymptotic behavior of a two-species chemotaxis system with signal-dependent motilities and indirect signal consumption	5
Modelling physiologically structured populations: renewal equations and partial differential equations	5
A new blowup criterion for the 3D viscous liquid–gas two-phase flow model with vacuum	5
Global solvability and large-time behavior in a doubly degenerate migration model involving saturated signal consumption	5
Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order	4
Ramifications of generalized Feller theory	4
Epidemic models in measure spaces: persistence, concentration and oscillations	4
Strong convergence of weighted gradients in parabolic equations and applications to global generalized solvability of cross-diffusive systems	4
Solvability of a semilinear heat equation on Riemannian manifolds	4
Singular integral equations with applications to travelling waves for doubly nonlinear diffusion	4
Well-posedness for some third-order evolution differential equations: a semigroup approach	4
General error estimates of non-conforming approximation of system of reaction–diffusion equations	4
The logarithmic Schrödinger equation with spatial white noise on the full space	4
Strong solutions to McKean–Vlasov SDEs with coefficients of Nemytskii type: the time-dependent case	4
Weak solutions to gradient flows of functionals with inhomogeneous growth in metric spaces	4
Weak and parabolic solutions of advection–diffusion equations with rough velocity field	4
A fully nonlinear Feynman–Kac formula with derivatives of arbitrary orders	4
Nonlinear parabolic stochastic evolution equations in critical spaces part II	4
Existence of solution of a triangular degenerate reaction–diffusion system	4
Space-time decay rate for 3D compressible Euler equations with damping	4
Local regularity for the space-homogenous Landau equation with very soft potentials	4
A capillary problem for spacelike mean curvature flow in a cone of Minkowski space	4
Degenerate operators on the half-line	4
Boundary observability and null-controllability for non-autonomous degenerate hyperbolic equations via energy estimates	4
On the Cahn–Hilliard equation with kinetic rate dependent dynamic boundary condition and non-smooth potential: separation property and long-time behavior	4
Orbital instability of periodic waves for scalar viscous balance laws	4

Intertwined pair of diffusion equations generated by noncommutative Weyl calculus	3
Formation of singularities of solutions to a 1D compressible radiation hydrodynamics model with damping relaxation and electric potential	3
On self-similar singularity formation for the binormal flow	3
Global existence and scattering for the inhomogeneous nonlinear Schrödinger equation	3
Non-uniqueness of mild solutions for 2d-heat equations with singular initial data	3
Observability and control of parabolic equations on networks with loops	3
Critical generalized transition waves for reaction–diffusion systems in time heterogeneous media	3
Critical mass phenomenon in a nonlinear Keller–Segel system with indirect signal production	3
Strong convergence and fast rates for dynamical systems with Tikhonov regularization	3
Drift diffusion equations with fractional diffusion on compact Lie groups	3
Potential stability of the Fokker–Planck equation	3
Weak uniqueness for stochastic partial differential equations in Hilbert spaces	3
A pathwise regularization by noise phenomenon for the evolutionary p-Laplace equation	3
Local well-posedness of the higher-dimensional b-equation	3
A first order description of a nonlinear SPDE in the spirit of rough paths	3
A new type distribution-dependent SDE for singular nonlinear PDE	3
Large time behavior of signed fractional porous media equations on bounded domains	3
A restricted superposition principle for (non-)linear Fokker–Planck–Kolmogorov equations on Hilbert spaces	3
Self-similarity in homogeneous stationary and evolution problems	3
Dean–Kawasaki equation with initial condition in the space of positive distributions	3
Global existence of a nonlinear wave equation arising from Nordström’s theory of gravitation	3
Regularizing effect of the interplay between coefficients in linear and semilinear X-elliptic equations	3
On the existence and Hölder regularity of solutions to some nonlinear Cauchy–Neumann problems	2
Conservation laws and Hamilton–Jacobi equations with space inhomogeneity	2
Stability via closure relations with applications to dissipative and port-Hamiltonian systems	2
The Stokes Dirichlet-to-Neumann operator	2
Stability and large-time behavior of the 2D Boussinesq system with mixed partial dissipations near hydrostatic equilibrium	2
Blow-up profiles of reaction–diffusion equations involving nonlinear terms with perturbations	2
Inviscid incompressible limit for capillary fluids with density-dependent viscosity	2
Stability and Gevrey regularity of the semigroup associated with an Euler–Bernoulli plate equation subject to localized Kelvin–Voigt damping	2
A Sobolev space theory for the stochastic partial differential equations with space-time non-local operators	2
Relative energy method for weak–strong uniqueness of the inhomogeneous Navier–Stokes equations far from vacuum	2
Fujita exponent for non-local parabolic equation involving the Hardy–Leray potential	2
Observation estimate for the heat equations with Neumann boundary conditions via logarithmic convexity	2
Random dynamics of stochastic BBM equations driven by nonlinear colored noise on unbounded channel	2
Stability and Gevrey regularity for some transmission systems involving a degenerate parabolic component	2
Intrinsic Hölder spaces for fractional kinetic operators	2
Bulk-surface systems on evolving domains	2
Influence of thermal coupling on shearing Timoshenko–Boltzmann systems	2
Dynamic behavior of food chain chemotactic system with evasion effect	2
Indirect stabilization on Kirchhoff plates by memory effects	2
On the high friction limit for the complete Euler system	2
Initial-boundary value problems for Maxwell–Schrödinger equations	2
Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two	2
Well-posedness for the NLS hierarchy	2
Existence of a weak solution and blow-up of strong solutions for a two-component Fornberg–Whitham system	2
Boundedness of the solution to a higher-dimensional triply haptotactic cross-diffusion system modeling oncolytic virotherapy	2
Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques	2
Shape perturbation of a nonlinear mixed problem for the heat equation	2
On maximal attractors for dynamical systems. Application to a semilinear parabolic problem with controlled growth	2
On the Lipschitz continuity of the heat kernel	2
On the 3D Navier–Stokes equations with a linear multiplicative noise and prescribed energy	2
The Neumann problem for one-dimensional parabolic equations with linear growth Lagrangian: evolution of singularities	2
Existence, comparison principle and uniqueness for doubly nonlinear anisotropic evolution equations	2
Growth rate of eventually positive Kreiss bounded $$C_0$$-semigroups on $$L^p$$ and $$\mathcal {C}(K)$$	2
Two-phase flows through porous media described by a Cahn–Hilliard–Brinkman model with dynamic boundary conditions	2
An application of spectral localization to the critical SQG on a ball	2
Effect of lower order terms on the well-posedness of Majda-Biello systems	2
Stability of rotating liquid drops with surface tension	2
Propagation phenomenon of bistable reaction–diffusion systems in cylindrical domains	2
Remotely almost periodic solutions of ordinary differential equations in Banach spaces	2
Uniform convergence of solutions to stochastic hybrid models of gene regulatory networks	2
An example of a weakly mixing $${{\,\textrm{BV}\,}}$$ vector field which is not strongly mixing	2
On well-posedness and maximal regularity for parabolic Cauchy problems on weighted tent spaces	2
Damped Euler system with attractive Riesz interaction forces	2
Complete regularity and strong attractor for the strongly damped wave equation with critical nonlinearities on $$\mathbb {R}^{3}$$	2
Banach gradient flows for various families of knot energies	2
Remarks on uniqueness and energy conservation for electron-MHD system	2
Side boundary potentials for a Kolmogorov-type PDE	2
Energy distribution of solutions to defocusing semi-linear wave equation in $$\mathbf {d\ge 3}$$	2
Global well-posedness of the incompressible Hall-MHD system in critical spaces	2
Entropy solutions to a non-conservative and non-strictly hyperbolic diagonal system inspired by dislocation dynamics	2
Correction to: Solvability of the Cauchy problem for fractional semilinear parabolic equations in critical and doubly critical cases	2
On blow-up conditions for nonlinear higher-order evolution inequalities	2
Optimal large-time behavior of solutions to the full compressible Navier–Stokes equations with Large initial data	2
Stability for a composite of Timoshenko laminated beams	2
Semilinear damped wave equations with data from Sobolev spaces of negative order: the critical case in the Euclidean setting and in the Heisenberg space	2