The existence of minimum speed of traveling wave solutions to a non-KPP isothermal diffusion system
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Publication:526034
DOI10.1016/j.jde.2017.03.023zbMath1385.34025OpenAlexW2605213355MaRDI QIDQ526034
Guirong Liu, Xinfu Chen, Yuan-wei Qi
Publication date: 8 May 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.03.023
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Classical flows, reactions, etc. in chemistry (92E20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07)
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Cites Work
- Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations
- Hair-triggered instability of radial steady states, spread and extinction in semilinear heat equations
- The development of travelling waves in cubic auto-catalysis with different rates of diffusion
- Traveling fronts for the thermo-diffusive system with arbitrary Lewis numbers
- Travelling waves of auto-catalytic chemical reaction of general order-an elliptic approach
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Multidimensional nonlinear diffusion arising in population genetics
- Traveling waves in a convolution model for phase transitions
- Existence and stability of propagating fronts for an autocatalytic reaction-diffusion system
- Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity
- Quenching and propagation in KPP reaction-diffusion equations with a heat loss
- Stability of Traveling Front Solutions with Algebraic Spatial Decay for Some Autocatalytic Chemical Reaction Systems
- Propagation of Local Disturbances in Reaction Diffusion Systems Modeling Quadratic Autocatalysis
- The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. I. Permanent form travelling waves
- Front Propagation in Heterogeneous Media
- Sharp Estimates on Minimum Travelling Wave Speed of Reaction Diffusion Systems Modelling Autocatalysis