This paper is concerned with the problem of regularization by noise of systems of reaction–
diffusion equations with mass control. It is known that strong solutions to such systems of …

In this paper we introduce the critical variational setting for parabolic stochastic evolution
equations of quasi-or semi-linear type. Our results improve many of the abstract results in …

This paper is a continuation of Part I of this project, where we developed a new local well-
posedness theory for nonlinear stochastic PDEs with Gaussian noise. In the current Part II …

In this paper we consider a class of stochastic reaction-diffusion equations. We provide local
well-posedness, regularity, blow-up criteria and positivity of solutions. The key novelties of …

In this paper we develop a new approach to nonlinear stochastic partial differential
equations with Gaussian noise. Our aim is to provide an abstract framework which is …

In this paper we study the stochastic Navier–Stokes equations on the d-dimensional torus
with transport noise, which arise in the study of turbulent flows. Under very weak …

In this paper, we investigate the global well-posedness of reaction-diffusion systems with
transport noise on the-dimensional torus. We show new global well-posedness results for a …

In this paper, we show that suitable transport noises produce anomalous dissipation of
energy of solutions to the 2D Navier-Stokes equations and diffusion equations in all …

In this paper we introduce and study the primitive equations with $\textit {non} $-isothermal
turbulent pressure and transport noise. They are derived from the Navier-Stokes equations …

In this paper we prove convergence rates for time discretization schemes for semilinear
stochastic evolution equations with additive or multiplicative Gaussian noise, where the …