This article is cited in 4 papers

Global solutions of multidimensional approximate Navier–Stokes equations of a viscous gas

E. V. Lukina

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: Considering the simplified Navier–Stokes equations for the motion of a viscous gas under the adherence condition, we define a weak solution and prove an existence theorem by means of a priori estimates.

Keywords: Navier–Stokes equations, “global” existence, weak solution.

UDC: 514.13

Received: 04.03.2002

 English version: Siberian Mathematical Journal, 2003, 44:2, 311–321

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