2 papers
math.AP2019
Burgers equation in the adhesion model
Yuri Gliklikh, Evelina Shamarova
We prove the existence and uniqueness of a classical solution to a multidimensional non-potential stochastic Burgers equation with Hölder continuous initial data. Our motivation is…
math.AP2009
Solutions of equations of viscous hydrodynamics via stochastic perturbations of inviscid flows
Yuri E. Gliklikh
We introduce a special stochastic perturbation of the flow of diffuse matter as a curve in the group of diffeomorphisms of flat n-dimensional torus such that the perturbed system y…