Properties of solutions to the initial-boundary value problem for a porous media-type equation
β Scribed by Jan Goncerzewicz
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 649 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0170-4214
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β¦ Synopsis
Abstract
The initialβboundary value problem in a semiβinfinite strip (0, β)Γ(0, T) for a degenerate parabolic equation of the form u, ~t~= Ο(u)~xx~ + b(x)Ο(u)~x~ is considered. The properties of solutions in the case where the initial function is compactly supported and for constant initial and boundary data are investigated.
π SIMILAR VOLUMES
We study the initial value problem for the system of compressible adiabatic flow through porous media in the one space dimension with fixed boundary condition. Under the restriction on the oscillations in the initial data, we establish the global existence and large time behavior for the classical s
## Abstract This work considers the methods for solving approximately the four types of boundary equations arising when the third initial boundary value problem of the theory of elasticity is solved with the help of retarded elastic potentials. The convergence of these methods is proved.