A System of Degenerate Parabolic Equations from Plasma Physics: The Large Time Behavior
β Scribed by Bertsch, M.; Kamin, S.
- Book ID
- 118199493
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2000
- Tongue
- English
- Weight
- 189 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0036-1410
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π SIMILAR VOLUMES
A system of parabolic and ordinary differential equations ut = a2 uxx + F(u,v,w), vt = a2 vxx + G(u,v,w), wx = -k(u) w is studied which has been proposed by Radach and Maier-Reimer for the dynamics of phytoplankton and nutrient in dependence of light intensity. It is shown that there is a unique sol
we study the large-time behavior of smooth solutions to a nonuniformly parabolic equation with bounded initial data. Decay rates of the solution in LP (p E [l, ~1) norm are obtained in Theorem 2.3. Meanwhile, we obtain that the solution converges to a self-similar solution only depending on the beha