Stability and Instability for Solutions of the Convective Porous Medium Equation with a Nonlinear Forcing at the Boundary, I
โ Scribed by J.R. Anderson
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 701 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0022-0396
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๐ SIMILAR VOLUMES
This article deals with the global solutions and blow-up problems for the ลฝ m . ลฝ .ลฝ n . ลฝ . convective porous medium equation u s u q rn u , x g 0, 1 , t ) 0, ลฝ m . ลฝ . p ลฝ . ลฝ m . ลฝ . with the nonlinear boundary conditions y u 0, t s au 0, t , u 1, t s 0, w x and positive initial data u x, 0 s u
## Abstract The existence of travelling wave solutions for the heat equation โ~__t__~ __u__ โฮ__u__ = 0 in an infinite cylinder subject to the nonlinear Neumann boundary condition (โ__u__ /โ__n__) = __f__ (__u__) is investigated. We show existence of nontrivial solutions for a large class of nonlin