On the existence and uniqueness of solutions to a singular nonlinear boundary value problem arising in isothermal autocatalytic chemical kinetics
DOI10.1017/S0013091500018563zbMath0793.34020OpenAlexW2046390788MaRDI QIDQ4289467
A. C. King, David John Needham
Publication date: 8 August 1994
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0013091500018563
existenceinitial-boundary value problemuniquenessisothermal autocatalytical chemical kineticssingular, nonlinear boundary value problemsmall time asymptotic solution
Nonlinear boundary value problems for ordinary differential equations (34B15) Classical flows, reactions, etc. in chemistry (92E20) Singular perturbations for ordinary differential equations (34E15)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Propagating reaction-diffusion waves in a simple isothermal quadratic autocatalytic chemical system
- Uniqueness of positive solutions of semilinear equations in \(R^ n\).
- Existence and non-existence of global solutions for a semilinear heat equation
- Self-similar solutions for a convection-diffusion equation with absorption in \({\mathbb{R}{}}^ N\)
- On the global existence of solutions to a singular semilinear parabolic equation arising from the study of autocatalytic chemical kinetics
- On the Existence and Nonexistence of Global Solutions of Reaction-Diffusion Equations in Sectorial Domains
- The Role of Critical Exponents in Blowup Theorems
- The Formation of the Dead Core in Parabolic Reaction-Diffusion Problems
- Short time behaviour of a singular solution to the heat equation with absorption
- The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. I. Permanent form travelling waves
- A note on the properties of a family of travelling-wave solutions arising in cubic autocatalysis
- The development of travelling waves in a simple isothermal chemical system with general orders of autocatalysis and decay
- The development of travelling waves in a simple isothermal chemical system - I. Quadratic autocatalysis with linear decay
This page was built for publication: On the existence and uniqueness of solutions to a singular nonlinear boundary value problem arising in isothermal autocatalytic chemical kinetics