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
✦ LIBER ✦
On the Riemann-Hilbert's boundary value problem, for flow through porous inhomogeneous media
✍ Scribed by Mircea T. Orǎ§anu
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 321 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0093-6413
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## Abstract The initial‐boundary value problem in a semi‐infinite strip (0, ∞)×(0, __T__) for a degenerate parabolic equation of the form __u__, ~t~= φ(__u__)~__xx__~ + __b__(__x__)φ(__u__)~__x__~ is considered. The properties of solutions in the case where the initial function is compactly support