𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Blow-up of the Solution for a Class of Porous Medium Equation with Positive Initial Energy

✍ Scribed by WU, Xiulan; GAO, Wenjie

Book ID
120522440
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
287 KB
Volume
33
Category
Article
ISSN
0252-9602

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Blow-up for the Porous Media Equation wi
Blow-up for the Porous Media Equation with Source Term and Positive Initial Energy
✍ Enzo Vitillaro πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 190 KB

We study the Cauchy᎐Dirichlet problem for the porous media equation with nonlinear source term in a bounded subset of ‫ޒ‬ n . The problem describes the propagation of thermal perturbations in a medium with a nonlinear heat-conduction coefficient and a heat source depending on the temperature. The ai

Blow-up phenomena for a doubly degenerat
Blow-up phenomena for a doubly degenerate equation with positive initial energy
✍ Chunlai Mu; Rong Zeng; Botao Chen πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 671 KB

In this paper, an initial boundary value problem related to the equation is studied. Under suitable conditions on f , we establish a blow-up result for certain solution with positive initial energy. And blow-up time will be also considered by using the differential inequality technique. The upper e

Blow up of positive initial energy solut
Blow up of positive initial energy solutions for a wave equation with fractional boundary dissipation
✍ Liqing Lu; Shengjia Li πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 221 KB

In this paper, we consider a strongly damped wave equation with fractional damping on part of its boundary and also with an internal source. Under some appropriate assumptions on the parameters, and with certain initial data, a blow-up result with positive initial energy is established.