2017
Том 69
№ 6

All Issues

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

Moseenkov V. B.

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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.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 9, pp 1307-1321.

Citation Example: 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 // Ukr. Mat. Zh. - 1994. - 46, № 9. - pp. 1189–1202.

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