Stochastics and Partial Differential Equations-Analysis and Computatio

Papers
(The TQCC of Stochastics and Partial Differential Equations-Analysis and Computatio 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 2022-01-01 to 2026-01-01.)
ArticleCitations
Inviscid limit for stochastic second-grade fluid equations19
Corrigendum to: Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions (Stoch PDE: Anal Comp 12, 1699-1744 (2024))11
Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics9
An $$L_q(L_p)$$-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps9
Probabilistic approaches to the energy equality in forced surface Quasi-Geostrophic equations9
A mild Girsanov formula8
A central limit theorem for nonlinear conservative SPDEs8
Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields8
Regularity theory for a new class of fractional parabolic stochastic evolution equations8
Scaling limits of stochastic transport equations on manifolds7
Higher order homogenization for random non-autonomous parabolic operators7
From additive to transport noise in 2D fluid dynamics7
Stationary solutions for the nonlinear Schrödinger equation6
Well-posedness for a stochastic 2D Euler equation with transport noise6
Singular SPDEs with the Cauchy-Riemann operator on a torus5
Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds5
Optimal convergence order for multi-scale stochastic Burgers equation5
Multilevel Monte Carlo  FEM  for elliptic PDEs with Besov random tree priors5
Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation4
Strong Feller semigroups and Markov processes: a counterexample4
Averaging principle and normal deviations for multi-scale stochastic hyperbolic–parabolic equations4
Rate of convergence of a semi-implicit time euler scheme for a 2D bénard–boussinesq model4
Renormalization of stochastic nonlinear heat and wave equations driven by subordinate cylindrical Brownian noises4
Transport noise restores uniqueness and prevents blow-up in geometric transport equations4
On a finite-volume approximation of a diffusion-convection equation with a multiplicative stochastic force4
Regularity of random elliptic operators with degenerate coefficients and applications to stochastic homogenization4
Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces4
From stochastic Zakharov system to multiplicative stochastic nonlinear Schrödinger equation3
Pathwise uniqueness for singular stochastic Volterra equations with Hölder coefficients3
Statistical solutions for the Navier–Stokes–Fourier system3
Preface3
Once again on evolution equations with monotone operators in Hilbert spaces and applications3
Analytically weak solutions to stochastic heat equations with spatially rough noise3
Delayed blow-up and enhanced diffusion by transport noise for systems of reaction–diffusion equations3
A counterexample to the strong Skorokhod representation theorem3
Global dissipative martingale solutions to the variational wave equation with stochastic forcing3
A linear stochastic biharmonic heat equation: hitting probabilities3
Stochastic fractional conservation laws: large deviation principle, central limit theorem and moderate deviation principle3
Temporal fractal nature of linearized Kuramoto–Sivashinsky SPDEs and their gradient in one-to-three dimensions3
Numerical approximation of nonlinear SPDE’s3
Solutions to the stochastic thin-film equation for the range of mobility exponents $$n\in (2,3)$$3
$$L^2$$-theory for transition semigroups associated to dissipative systems3
Analysis and computations of a stochastic Cahn–Hilliard model for tumor growth with chemotaxis and variable mobility2
LDP and CLT for SPDEs with transport noise2
Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions2
Asymptotic stability of evolution systems of probability measures of stochastic discrete modified Swift–Hohenberg equations2
A regularity theory for stochastic generalized Burgers’ equation driven by a multiplicative space-time white noise2
Two dimensional nonlinear Schrödinger equation with spatial white noise potential and fourth order nonlinearity2
On partially observed jump diffusions III: regularity of the filtering density2
Hitting properties of generalized fractional kinetic equation with time-fractional noise2
Estimation of anisotropic viscosities for the stochastic primitive equations2
Estimates in $$L_{p}$$ for solutions of SPDEs with coefficients in Morrey classes2
An application of the splitting-up method for the computation of a neural network representation for the solution for the filtering equations2
Global solvability and convergence to stationary solutions in singular quasilinear stochastic PDEs2
Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise2
Global martingale solutions for stochastic Shigesada–Kawasaki–Teramoto population models2
Multidimensional stable driven McKean–Vlasov SDEs with distributional interaction kernel: a regularization by noise perspective2
Lecture notes on Malliavin calculus in regularity structures2
Stochastic PDE approach to fluctuating interfaces2
Exact targeting of gibbs distributions using velocity-jump processes2
The stochastic scalar auxiliary variable approach for stochastic nonlinear Klein–Gordon equation2
Non-linear Young equations in the plane and pathwise regularization by noise for the stochastic wave equation2
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