𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Critical blowup exponents for a system of reaction-diffusion equations with absorption

✍ Scribed by N. Bedjaoui; P. Souplet

Publisher
Springer
Year
2002
Tongue
English
Weight
231 KB
Volume
53
Category
Article
ISSN
0044-2275

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Critical Exponents for the Blowup of Sol
Critical Exponents for the Blowup of Solutions with Sign Changes in a Semilinear Parabolic Equation, II
✍ Noriko Mizoguchi; Eiji Yanagida πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 353 KB

The blowup of solutions of the Cauchy problem { u t =u xx + |u| p&1 u u(x, 0)=u 0 (x) in R\\_(0, ), in R is studied. Let 4 k be the set of functions on R which change sign k times. It is shown that for p k =1+2Γ‚(k+1), k=0, 1, 2, ... , any solution with u 0 # 4 k blows up in finite time if 1 p k . T

Critical exponents and lower bounds of b
Critical exponents and lower bounds of blow-up rate for a reaction–diffusion system
✍ Huiling Li; Mingxin Wang πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 163 KB

This paper is concerned with a reaction-diffusion system with absorption terms under Dirichlet boundary conditions, modelling the cooperative interaction of two diffusion biological species. By constructing blow-up sub-solutions and bounded super-solutions, we obtain the optimal conditions on the ex

Critical Fujita exponents for a class of
Critical Fujita exponents for a class of nonlinear convection–diffusion equations
✍ Wei Guo; Zejia Wang; Runmei Du; Lishu Wen πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 173 KB πŸ‘ 1 views

## Communicated by M. Fila In this paper, we establish the blow-up theorems of Fujita type for a class of homogeneous Neumann exterior problems of quasilinear convection-diffusion equations. The critical Fujita exponents are determined and it is shown that the exponents belong to the blow-up case