B. V. Gatapov, A. V. Kazhikhov, “Existence of a global solution to one model problem of atmosphere dynamics”, Sibirsk. Mat. Zh., 2005, Volume 46, Number 5,Pages <nobr>1011

This article is cited in 19 papers

Existence of a global solution to one model problem of atmosphere dynamics

B. V. Gatapov, A. V. Kazhikhov

M. A. Lavrent'ev Institute of Hydrodynamics

Abstract: We consider a model problem of compressible viscous fluid dynamics in the two-dimensional case. We prove a global existence theorem.

Keywords: compressible viscous fluid, shallow water approximation, a priori estimates, existence theorem.

UDC: 517.9

Received: 19.04.2005