OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Evolution Equations is 3. 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 2021-11-01 to 2025-11-01.)

Article	Citations
Gaussian bounds of fundamental matrix and maximal $$L^1$$ regularity for Lamé system with rough coefficients	21
Long-time behavior of several point particles in a 1D viscous compressible fluid	17
Representation formulae for higher-order linear curvature flows	15
Large time behavior for the hyperbolic–parabolic coupled system with the regularity-loss structure	14
Stability of regular pullback attractors for non-autonomous dynamical systems: theoretical results and applications	14
Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction	12
Minkowski inequality in GRW spacetimes	11
Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions	10
Description of the smoothing effects of semigroups generated by fractional Ornstein–Uhlenbeck operators and subelliptic estimates	10
On the convergence to the Navier–Stokes–Maxwell system with solenoidal Ohm’s law	9
Norm-inflation results for the good Boussinesq equation	9
Optimal control of gradient flows via the Weighted Energy-Dissipation method	9
New regularity criteria to the 2D supercritical SQG equations	9
Bi-objective and hierarchical control for the Burgers equation	8
Stability estimates for semigroups in the Banach case	8
Controllability results for stochastic coupled systems of fourth- and second-order parabolic equations	8
On the Cauchy problem of Boltzmann equation with a very soft potential	7
Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces	7
Analytical solutions to the pressureless Euler–Korteweg equations with free boundary	7
Large deviation principle of stochastic evolution equations with reflection	7
Critical curve for a weakly coupled system of semi-linear $$\sigma $$-evolution equations with different damping types	7
The viscoelastic paradox in a nonlinear Kelvin–Voigt type model of dynamic fracture	7
Local null controllability of a cubic Ginzburg–Landau equation with dynamic boundary conditions	7
Global in time self-interacting Dirac fields in the de Sitter space	7
Traveling waves for nonlocal Fisher–KPP equations with diffusive delay	7

Rate of convergence for reaction–diffusion equations with nonlinear Neumann boundary conditions and $${\mathcal {C}}^1$$ variation of the domain	7
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
Stabilization of a transmission problem for two Rayleigh beams and a string with damping	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
Spreading speeds and forced waves of a three species competition system with nonlocal dispersal in shifting habitats	6
Refined decay rates of $$C_0$$-semigroups on Banach spaces	6
The modified scattering of two dimensional semi-relativistic Hartree equations	6
Dynamics of a generalized nonlocal dispersion SIS epidemic model	6
Uniqueness and regularity of weak solutions of a drift–diffusion system for perovskite solar cells	6
Global existence for the two-dimensional Kuramoto–Sivashinsky equation with a shear flow	5
A new blowup criterion for the 3D viscous liquid–gas two-phase flow model with vacuum	5
Singular integral equations with applications to travelling waves for doubly nonlinear diffusion	5
The logarithmic Schrödinger equation with spatial white noise on the full space	5
Higher Hölder regularity for nonlocal parabolic equations with irregular kernels	5
Large deviation principle for multi-scale distribution-dependent stochastic differential equations driven by fractional Brownian motions	5
Existence, uniqueness, and exponential stability for the Kirchhoff equation in whole hyperbolic space	5
Orbital instability of periodic waves for scalar viscous balance laws	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
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
Strong solutions to McKean–Vlasov SDEs with coefficients of Nemytskii type: the time-dependent case	4
A capillary problem for spacelike mean curvature flow in a cone of Minkowski space	4
Local regularity for the space-homogenous Landau equation with very soft potentials	4
Space-time decay rate for 3D compressible Euler equations with damping	4
Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order	4
Degenerate operators on the half-line	4
Observability and control of parabolic equations on networks with loops	4
A fully nonlinear Feynman–Kac formula with derivatives of arbitrary orders	4
Well-posedness for some third-order evolution differential equations: a semigroup approach	4
On the second-order regularity of solutions to the parabolic p-Laplace equation	4
General error estimates of non-conforming approximation of system of reaction–diffusion equations	4
Epidemic models in measure spaces: persistence, concentration and oscillations	4
Boundary observability and null-controllability for non-autonomous degenerate hyperbolic equations via energy estimates	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
Existence of solution of a triangular degenerate reaction–diffusion system	4
Nonlinear parabolic stochastic evolution equations in critical spaces part II	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	3
Large time behavior of signed fractional porous media equations on bounded domains	3
Relative energy method for weak–strong uniqueness of the inhomogeneous Navier–Stokes equations far from vacuum	3
Shape perturbation of a nonlinear mixed problem for the heat equation	3
Complete regularity and strong attractor for the strongly damped wave equation with critical nonlinearities on $$\mathbb {R}^{3}$$	3
The Neumann problem for one-dimensional parabolic equations with linear growth Lagrangian: evolution of singularities	3
On blow-up conditions for nonlinear higher-order evolution inequalities	3
Self-similarity in homogeneous stationary and evolution problems	3

Global existence and scattering for the inhomogeneous nonlinear Schrödinger equation	3
Formation of singularities of solutions to a 1D compressible radiation hydrodynamics model with damping relaxation and electric potential	3
Global existence of a nonlinear wave equation arising from Nordström’s theory of gravitation	3
A new type distribution-dependent SDE for singular nonlinear PDE	3
Growth rate of eventually positive Kreiss bounded $$C_0$$-semigroups on $$L^p$$ and $$\mathcal {C}(K)$$	3
Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two	3
Observation estimate for the heat equations with Neumann boundary conditions via logarithmic convexity	3
Entropy solutions to a non-conservative and non-strictly hyperbolic diagonal system inspired by dislocation dynamics	3
Bulk-surface systems on evolving domains	3
Dean–Kawasaki equation with initial condition in the space of positive distributions	3
Potential stability of the Fokker–Planck equation	3
Drift diffusion equations with fractional diffusion on compact Lie groups	3
A first order description of a nonlinear SPDE in the spirit of rough paths	3
Stability for a composite of Timoshenko laminated beams	3
An application of spectral localization to the critical SQG on a ball	3
Stability via closure relations with applications to dissipative and port-Hamiltonian systems	3
Boundedness of the solution to a higher-dimensional triply haptotactic cross-diffusion system modeling oncolytic virotherapy	3
Stability and Gevrey regularity for some transmission systems involving a degenerate parabolic component	3
Semilinear damped wave equations with data from Sobolev spaces of negative order: the critical case in the Euclidean setting and in the Heisenberg space	3
On self-similar singularity formation for the binormal flow	3
A restricted superposition principle for (non-)linear Fokker–Planck–Kolmogorov equations on Hilbert spaces	3
A pathwise regularization by noise phenomenon for the evolutionary p-Laplace equation	3