5 papers · 1 filter
On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs
Gaurav Dhariwal, Florian Huber, Alexandra Neamţu
The main goal of this work is to relate weak and pathwise mild solutions for parabolic quasilinear stochastic partial differential equations (SPDEs). Extending in a suitable way te…
Stochastic Navier--Stokes equations on a 3D thin domain
Zdzisław Brzeźniak, Gaurav Dhariwal, Quoc Thong Le Gia
Stochastic Navier--Stokes equations in a thin three-dimensional domain are considered, driven by additive noise. The convergence of martingale solution of the stochastic Navier--St…
Stochastic Navier-Stokes equations on a thin spherical domain
Zdzisław Brzeźniak, Gaurav Dhariwal, Quoc Thong Le Gia
Incompressible Navier-Stokes equations on a thin spherical domain along with free boundary conditions under a random forcing are considered. The convergence of the…
Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method
Gaurav Dhariwal, Florian Huber, Ansgar Jüngel +2
The existence of global-in-time bounded martingale solutions to a general class of cross-diffusion systems with multiplicative Stratonovich noise is proved. The equations describe…
Global martingale solutions for a stochastic population cross-diffusion system
Gaurav Dhariwal, Ansgar Jüngel, Nicola Zamponi
The existence of global nonnegative martingale solutions to a stochastic cross-diffusion system for an arbitrary but finite number of interacting population species is shown. The r…