Cellular patterns with boundary forcing
โ Scribed by Zaleski, S.
- Book ID
- 120107391
- Publisher
- Cambridge University Press
- Year
- 1984
- Tongue
- English
- Weight
- 473 KB
- Volume
- 149
- Category
- Article
- ISSN
- 0022-1120
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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
Under the influence of a sufficiently ''weak'' nonlinear source term, it is by now well known that a degenerate diffusion equation is globally solvable. A similar result is known when the nonlinear source is present as a forcing term at the boundary. Such results are usually established via comparis