OOIR: Observatory of International Research

Papers

(The TQCC of Stochastics and Partial Differential Equations-Analysis and Computatio 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 2021-08-01 to 2025-08-01.)

Article	Citations
An $$L_q(L_p)$$-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps	17
Inviscid limit for stochastic second-grade fluid equations	15
Corrigendum to: Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions (Stoch PDE: Anal Comp 12, 1699-1744 (2024))	14
Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics	9
Scaling limits of stochastic transport equations on manifolds	8
Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields	7
Existence and probabilistic representation of the solutions of semilinear parabolic PDEs with fractional Laplacians	7
Well-posedness for a stochastic 2D Euler equation with transport noise	7
Higher order homogenization for random non-autonomous parabolic operators	7
From additive to transport noise in 2D fluid dynamics	7
A central limit theorem for nonlinear conservative SPDEs	6
Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds	6
Regularity theory for a new class of fractional parabolic stochastic evolution equations	6
Stationary solutions for the nonlinear Schrödinger equation	6
Multilevel Monte Carlo FEM for elliptic PDEs with Besov random tree priors	5
Optimal convergence order for multi-scale stochastic Burgers equation	5
Averaging principle and normal deviations for multi-scale stochastic hyperbolic–parabolic equations	5
Mixing rates for Hamiltonian Monte Carlo algorithms in finite and infinite dimensions	5
Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces	5
Strong Feller semigroups and Markov processes: a counterexample	4
Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation	4
Rate of convergence of a semi-implicit time euler scheme for a 2D bénard–boussinesq model	4
Regularity of random elliptic operators with degenerate coefficients and applications to stochastic homogenization	4
Solutions to the stochastic thin-film equation for the range of mobility exponents $$n\in (2,3)$$	4
Renormalization of stochastic nonlinear heat and wave equations driven by subordinate cylindrical Brownian noises	4

Transport noise restores uniqueness and prevents blow-up in geometric transport equations	4
Preface	3
$$L^2$$-theory for transition semigroups associated to dissipative systems	3
Stochastic fractional conservation laws: large deviation principle, central limit theorem and moderate deviation principle	3
A note on log–log blow up solutions for stochastic nonlinear Schrödinger equations	3
LDP and CLT for SPDEs with transport noise	3
Global martingale solutions for stochastic Shigesada–Kawasaki–Teramoto population models	3
Delayed blow-up and enhanced diffusion by transport noise for systems of reaction–diffusion equations	3
Numerical approximation of nonlinear SPDE’s	3
Global dissipative martingale solutions to the variational wave equation with stochastic forcing	3
A counterexample to the strong Skorokhod representation theorem	3
Analytically weak solutions to stochastic heat equations with spatially rough noise	3
Estimates in $$L_{p}$$ for solutions of SPDEs with coefficients in Morrey classes	3
Hitting properties of generalized fractional kinetic equation with time-fractional noise	3
Temporal fractal nature of linearized Kuramoto–Sivashinsky SPDEs and their gradient in one-to-three dimensions	3
Statistical solutions for the Navier–Stokes–Fourier system	3
A linear stochastic biharmonic heat equation: hitting probabilities	3
Estimation of anisotropic viscosities for the stochastic primitive equations	3
Pathwise uniqueness for singular stochastic Volterra equations with Hölder coefficients	3
Multidimensional stable driven McKean–Vlasov SDEs with distributional interaction kernel: a regularization by noise perspective	3
Phase transitions in asymptotically singular anderson hamiltonian and parabolic model	3