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 2021-06-01 to 2025-06-01.)

Article	Citations
Gaussian bounds of fundamental matrix and maximal $$L^1$$ regularity for Lamé system with rough coefficients	26
Stability of regular pullback attractors for non-autonomous dynamical systems: theoretical results and applications	15
Long-time behavior of several point particles in a 1D viscous compressible fluid	15
Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction	14
Analytical solutions to the pressureless Euler–Korteweg equations with free boundary	11
Representation formulae for higher-order linear curvature flows	11
Bi-objective and hierarchical control for the Burgers equation	11
Stability estimates for semigroups in the Banach case	10
Description of the smoothing effects of semigroups generated by fractional Ornstein–Uhlenbeck operators and subelliptic estimates	9
Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions	9
Optimal control of gradient flows via the Weighted Energy-Dissipation method	8
Traveling waves for nonlocal Fisher–KPP equations with diffusive delay	8
Rate of convergence for reaction–diffusion equations with nonlinear Neumann boundary conditions and $${\mathcal {C}}^1$$ variation of the domain	8
Controllability results for stochastic coupled systems of fourth- and second-order parabolic equations	8
Regularity and stability of the semigroup associated with some interacting elastic systems I: a degenerate damping case	8
Global in time self-interacting Dirac fields in the de Sitter space	7
Existence of nonnegative solutions of nonlinear fractional parabolic inequalities	7
Large deviation principle of stochastic evolution equations with reflection	7
Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces	7
On the Cauchy problem of Boltzmann equation with a very soft potential	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	6
On the $$\mathrm {L}^p$$-theory for second-order elliptic operators in divergence form with complex coefficients	6
Global strong solutions with large oscillations to the 3D full compressible Navier–Stokes equations without heat conductivity	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	5
Global boundedness and asymptotic behavior of a two-species chemotaxis system with signal-dependent motilities and indirect signal consumption	5
Uniform convergence of operator semigroups without time regularity	5
Higher Hölder regularity for nonlocal parabolic equations with irregular kernels	5
The logarithmic Schrödinger equation with spatial white noise on the full space	5
Stabilization of a transmission problem for two Rayleigh beams and a string with damping	5
Ill-posedness of the Cauchy problem for the $$\mu $$-Camassa–Holm-type equations	5
Vertical maximal functions on manifolds with ends	5
Existence, uniqueness, and exponential stability for the Kirchhoff equation in whole hyperbolic space	5
Well-posedness for some third-order evolution differential equations: a semigroup approach	5
Spreading speeds and forced waves of a three species competition system with nonlocal dispersal in shifting habitats	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
Large deviation principle for multi-scale distribution-dependent stochastic differential equations driven by fractional Brownian motions	5
Global existence for the two-dimensional Kuramoto–Sivashinsky equation with a shear flow	5
Singular integral equations with applications to travelling waves for doubly nonlinear diffusion	4
Nonlinear parabolic stochastic evolution equations in critical spaces part II	4
Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements	4
A capillary problem for spacelike mean curvature flow in a cone of Minkowski space	4
Transport equations with nonlocal diffusion and applications to Hamilton–Jacobi equations	4
Strong solutions to McKean–Vlasov SDEs with coefficients of Nemytskii type: the time-dependent case	4
Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order	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 fully nonlinear Feynman–Kac formula with derivatives of arbitrary orders	4
Stochastic reaction–diffusion equations on networks	4
Solvability of a semilinear heat equation on Riemannian manifolds	4
On the second-order regularity of solutions to the parabolic p-Laplace equation	4
Orbital instability of periodic waves for scalar viscous balance laws	4
On $$\varvec{C^{1/2,1}}$$, $$\varvec{C^{1,2}}$$, and $$\varvec{C^{0,0}}$$ estimates for linear parabolic operators	4
Existence of solution of a triangular degenerate reaction–diffusion system	4
Stochastic generalized porous media equations driven by Lévy noise with increasing Lipschitz nonlinearities	4
Weak and parabolic solutions of advection–diffusion equations with rough velocity field	4
Strong convergence of weighted gradients in parabolic equations and applications to global generalized solvability of cross-diffusive systems	3
A restricted superposition principle for (non-)linear Fokker–Planck–Kolmogorov equations on Hilbert spaces	3
Dean–Kawasaki equation with initial condition in the space of positive distributions	3
Global existence and scattering for the inhomogeneous nonlinear Schrödinger equation	3
An existence result for the fractional Kelvin–Voigt’s model on time-dependent cracked domains	3
Drift diffusion equations with fractional diffusion on compact Lie groups	3
Degenerate operators on the half-line	3
Self-similarity in homogeneous stationary and evolution problems	3
On self-similar singularity formation for the binormal flow	3
Large deviation principle for stochastic convective Brinkman–Forchheimer equations perturbed by pure jump noise	3
Stability for a composite of Timoshenko laminated beams	3
Large time behavior of signed fractional porous media equations on bounded domains	3
A first order description of a nonlinear SPDE in the spirit of rough paths	3
Weak solutions to gradient flows of functionals with inhomogeneous growth in metric spaces	3
Observability and control of parabolic equations on networks with loops	3
Epidemic models in measure spaces: persistence, concentration and oscillations	3

Potential stability of the Fokker–Planck equation	3
Global existence of a nonlinear wave equation arising from Nordström’s theory of gravitation	3
The Gevrey analyticity and decay for the micropolar system in the critical Besov space	3
A new type distribution-dependent SDE for singular nonlinear PDE	3
A pathwise regularization by noise phenomenon for the evolutionary p-Laplace equation	3
Complete regularity and strong attractor for the strongly damped wave equation with critical nonlinearities on $$\mathbb {R}^{3}$$	2
Essential m-dissipativity and hypocoercivity of Langevin dynamics with multiplicative noise	2
Stability and Gevrey regularity for some transmission systems involving a degenerate parabolic component	2
Blow-up and peakons for a higher-order $$\mu $$-Camassa–Holm equation	2
A probabilistic study of the kinetic Fokker–Planck equation in cylindrical domains	2
Stability of rotating liquid drops with surface tension	2
Fujita exponent for non-local parabolic equation involving the Hardy–Leray potential	2
Unconditional well-posedness for the energy-critical nonlinear damped wave equation	2
Global well-posedness of the incompressible Hall-MHD system in critical spaces	2
Well-posedness for the NLS hierarchy	2
Boundedness of the solution to a higher-dimensional triply haptotactic cross-diffusion system modeling oncolytic virotherapy	2
Indirect stabilization on Kirchhoff plates by memory effects	2
A Sobolev space theory for the stochastic partial differential equations with space-time non-local operators	2
Damped Euler system with attractive Riesz interaction forces	2
Lifespan estimates for the compressible Euler equations with damping via Orlicz spaces techniques	2
Existence of a weak solution and blow-up of strong solutions for a two-component Fornberg–Whitham system	2
Entropy solutions to a non-conservative and non-strictly hyperbolic diagonal system inspired by dislocation dynamics	2
Observation estimate for the heat equations with Neumann boundary conditions via logarithmic convexity	2
The Neumann problem for one-dimensional parabolic equations with linear growth Lagrangian: evolution of singularities	2
On blow-up conditions for nonlinear higher-order evolution inequalities	2
An application of spectral localization to the critical SQG on a ball	2
Stability of constant steady states of a chemotaxis model	2
Random dynamics of stochastic BBM equations driven by nonlinear colored noise on unbounded channel	2
Two-phase flows through porous media described by a Cahn–Hilliard–Brinkman model with dynamic boundary conditions	2
Remarks on uniqueness and energy conservation for electron-MHD system	2
On the 3D Navier–Stokes equations with a linear multiplicative noise and prescribed energy	2
On maximal attractors for dynamical systems. Application to a semilinear parabolic problem with controlled growth	2
Shape perturbation of a nonlinear mixed problem for the heat equation	2
On the Perron solution of the caloric Dirichlet problem: an elementary approach	2
Large-time behavior in a two-dimensional logarithmic chemotaxis-Navier–Stokes system with signal absorption	2
Banach gradient flows for various families of knot energies	2
Correction to: Solvability of the Cauchy problem for fractional semilinear parabolic equations in critical and doubly critical cases	2
Stability via closure relations with applications to dissipative and port-Hamiltonian systems	2
Relative energy method for weak–strong uniqueness of the inhomogeneous Navier–Stokes equations far from vacuum	2
Growth rate of eventually positive Kreiss bounded $$C_0$$-semigroups on $$L^p$$ and $$\mathcal {C}(K)$$	2
Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two	2
On the existence and Hölder regularity of solutions to some nonlinear Cauchy–Neumann problems	2
On well-posedness and maximal regularity for parabolic Cauchy problems on weighted tent spaces	2
On the high friction limit for the complete Euler system	2
Analysis of the null controllability of degenerate parabolic systems of Grushin type via the moments method	2
Effect of lower order terms on the well-posedness of Majda-Biello systems	2
An example of a weakly mixing $${{\,\textrm{BV}\,}}$$ vector field which is not strongly mixing	2
Optimal large-time behavior of solutions to the full compressible Navier–Stokes equations with Large initial data	2
On eventual compactness of collisionless kinetic semigroups with velocities bounded away from zero	2
Stability and large-time behavior of the 2D Boussinesq system with mixed partial dissipations near hydrostatic equilibrium	2
Intrinsic Hölder spaces for fractional kinetic operators	2
Existence, comparison principle and uniqueness for doubly nonlinear anisotropic evolution equations	2