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Convergence to a wave of solutions of a nonlinear diffusion equation with source of general type

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Publication:914986
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DOI10.1007/BF00971374zbMath0702.35136MaRDI QIDQ914986

Vitaly A. Volpert

Publication date: 1989

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

asymptotic behaviorinitial value problem


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57)


Related Items (6)

Existence of Pulses for Monotone Reaction-Diffusion Systems ⋮ Method of monotone solutions for reaction-diffusion equations ⋮ (INVITED) Reaction-diffusion waves in cardiovascular diseases ⋮ Modeling of post-stroke stimulation of cortical tissue ⋮ Traveling waves in delayed reaction-diffusion equations in biology ⋮ Initiation of reaction-diffusion waves of blood coagulation




Cites Work

  • Convergence to pushed fronts
  • A phase plane discussion of convergence to travelling fronts for nonlinear diffusion
  • The behavior of solutions of some non-linear diffusion equations for large time
  • Convergence of solutions of the Kolmogorov equation to travelling waves




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