Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. II. Uniqueness and stability of generalized solutions

Authors

  • V. B. Moseenkov

Abstract

We continue our study of the three-dimensional initial boundary-value problem of the convection of a viscous thermally inhomogeneous weakly compressible fluid which fills a cavity in a solid body. We prove theorems on the uniqueness of the generalized solution of this problem and its continuity with respect to initial conditions and perturbations. We obtain estimates of exponential type for the decay of solutions (in the mean) for large time.

Published

25.09.1994

Issue

Section

Research articles

How to Cite

Moseenkov, V. B. “Three-Dimensional Initial Boundary-Value Problem of the Convection of a Viscous Weakly Compressible Fluid. II. Uniqueness and Stability of Generalized Solutions”. Ukrains’kyi Matematychnyi Zhurnal, vol. 46, no. 9, Sept. 1994, pp. 1189–1202, https://umj.imath.kiev.ua/index.php/umj/article/view/5635.