𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Quenching for a reaction–diffusion system with logarithmic singularity

✍ Scribed by Chunlai Mu; Shouming Zhou; Dengming Liu


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
437 KB
Volume
71
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Beyond quenching for singular reaction-d
✍ C. Y. Chan; Lan Ke 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 425 KB

## Abstract Let __f__(__u__) be twice continuously differentiable on [0, __c__]) for some constant __c__ such that __f__(0) > 0,__f__′ ⩾ 0,__f__″ ⩾ 0, and lim~__u__→__c__~__f__(__u__) = ∞. Also, let χ(__S__) be the characteristic function of the set __S__. This article studies all solutions __u__ w

Singularity theory concepts for a class
✍ Dirk Meinköhn 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 798 KB

In the class of reaction-diKusion systems mathematically represented by the boundary value problem of Fourier's equation, necessary conditions for the appearance of singularities of codimension 1,2 and 3 (folds, cusps and swallow-tails) have been derived. The class of problems is characterized by a

Numerical investigation of quenching for
✍ C. I. Christov; K. Deng 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 164 KB

## Abstract For a nonlinear diffusion equation with a singular Neumann boundary condition, we devise a difference scheme which represents faithfully the properties of the original continuous boundary value problem. We use non‐uniform mesh in order to adequately represent the spatial behavior of the

Singular Hopf-bifurcation in a chemical
✍ M. Mimura; M. Nagayama; K. Sakamoto 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 299 KB

For a system of reaction-diffusion equations with a small parameter e > 0, modelling spatio-temporal patterns arising in chemical systems, a Hopf-bifurcation of equilibrium solutions with a sharp internal transition layer is established. The Hopf-bifurcation is singular in the sense that it cannot b

A reaction–diffusion system with fast re
✍ D. Bothe; D. Hilhorst 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 210 KB

We consider a reaction-diffusion system which models a fast reversible reaction between two mobile reactants and prove convergence of the solutions as the reaction rate tends to infinity, where the limiting problem is given by a diffusion equation with nonlinear diffusion. Since the rate function ha