The effect of diffusion on the blowup of solutions of the semilinear parabolic system was studied using a mutualistic model. The semilinear parabolic system includes a Laplace operator, a bounded domain with a smooth boundary, a closure function, an outward unit normal vector on the closure function, and a function for the maximal existence time of the solution. Theorems proved have considered both fast and slow diffusion rates.
|Original language||English (US)|
|Number of pages||14|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|State||Published - Jul 2001|
Bibliographical noteFunding Information:
We would like to thank Profs. Iida, Ninomiya, Weinberger and Yanagida for sending us their preprints. We thank the referee for pointing out an error in our first draft. Y.L. was partially supported by NSF grant DMS-9022140, NSF grant DMS-9801609 and Ohio State University Seed Grant; T.N. was supported by NSF grant DEB-9706912; W.-M.N. was supported by NSF grant DMS-9705639.
- Mutualistic model