The Markov branching random walk and systems of reaction-diffusion (Kolmogorov-Petrovskii-Piskunov) equations

DOI10.1007/BF02101538zbMath0820.60068OpenAlexW2063825123MaRDI QIDQ1891627

M. Ya. Kel'bert, Yu. M. Sukhov

Publication date: 22 June 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02101538

zbMATH Keywords

branching random walkKolmogorov-Petrovskij-Piskunov equationtravelling-wave solution to systems of coupled nonlinear parabolic PDE's

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

Autonomous models on a Cayley tree ⋮ Exactly solvable reaction diffusion models on a Cayley tree ⋮ Lindley-type equations in the branching random walk

Cites Work

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• Global solutions of reaction-diffusion systems
• Non-negative matrices and Markov chains. 2nd ed
• The behavior of solutions of some non-linear diffusion equations for large time
• Higher-order Lindley equations
• Convergence of solutions of the Kolmogorov equation to travelling waves
• Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
• A correction to: Application of Brownian motion to the equation of Kolmagorov-Petrovski-Piskonov
• The asymptotic shape of the branching random walk
• Existence and stability of stationary solutions for a class of semilinear parabolic systems
• Propagation of frontal polymerization—crystallization waves
• Algebra, analysis and probability for a coupled system of reaction-duffusion equations

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