Blow-up phenomena for some nonlinear parabolic problems
β Scribed by L.E. Payne; G.A. Philippin; P.W. Schaefer
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 239 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
β¦ Synopsis
We consider the blow-up of solutions of equations of the form
by means of a differential inequality technique. A lower bound for blow-up time is determined if blow-up does occur as well as a criterion for blow-up and conditions which ensure that blow-up cannot occur.
π SIMILAR VOLUMES
This note deals with a class of heat emission processes in a medium with a non-negative source, a nonlinear decreasing thermal conductivity and a linear radiation (Robin) boundary condition. For such heat emission problems, we make use of a first-order differential inequality technique to establish
We study the possible continuation of solutions of a nonlinear parabolic problem after the blow-up time. The nonlinearity in the equation is dissipative and blow-up is caused by the nonlinear boundary condition of the form ju/j = |u| q-1 u, where q > 1 is subcritical in H 1 ( ). If the dissipative t