2 papers
math.AP2013
The global solvability of initial-boundary value problem for nondiagonal parabolic systems
Wladimir Neves, Mikhail Vishnevskii
In this paper we study the quasilinear nondiagonal parabolic type systems. We assume that the principal elliptic operator, which is part of the parabolic system, has a divergence s…
math.AP2010
Well-posedness of the Cauchy Problem on Torus to Electromagnetoelastic System
Wladimir Neves, Viatcheslav Priimenko, Mikhail Vishnevskii
We prove the well-posedness of the Cauchy problem on torus to an eletromagnetoelastic system. The physical model consists of three coupled partial differential equations, one of th…