3 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…
gr-qc2006
A two-point boundary value problem on a Lorentz manifold arising in A. Poltorak's concept of reference frame
Yu. E. Gliklikh, P. S. Zykov
In A. Poltorak's concept, the reference frame in General Relativity is a certain manifold equipped with a connection. The question under consideration here is whether it is possibl…