Advanced Search
Article Contents
Article Contents

Reaction-diffusion waves with nonlinear boundary conditions

Abstract Related Papers Cited by
  • A reaction-diffusion equation with nonlinear boundary condition is considered in a two-dimensional infinite strip. Existence of waves in the bistable case is proved by the Leray-Schauder method.
    Mathematics Subject Classification: Primary: 35K57; Secondary: 35J60.


    \begin{equation} \\ \end{equation}
  • [1]

    A. Fabiato, Calcium-induced release of calcium from the cardiac sarcoplasmic reticulum, Am. J. Physiol. Cell. Physiol., 245 (1983), 1-14.doi: 10.1016/0022-2828(92)90114-F.


    A. Friedman, "Partial Differential Equations of Parabolic Type," Prentice-Hall, Englwood Cliffs, 1964.


    N. El Khatib, S. Genieys, B. Kazmierczak and V. Volpert, Reaction-diffusion model of atherosclerosis development, J. Math. Biol., 65 (2012), 349-374.doi: 10.1007/s00285-011-0461-1.


    M. Kyed, Existence of travelling wave solutions for the heat equation in infinite cylinders with a nonlinear boundary condition, Math. Nachr., 281 (2008), 253-271.doi: 10.1002/mana.200710599.


    A. Volpert, Vit. Volpert and Vl. Volpert, "Traveling Wave Solutions of Parabolic Systems," Translation of Mathematical Monographs, 140, Amer. Math. Society, Providence, 1994.


    V. Volpert and A. Volpert, Spectrum of elliptic operators and stability of travelling waves, Asymptotic Analysis, 23 (2000), 111-134.


    V. Volpert, "Elliptic Partial Differential Equations. Volume 1. Fredholm Theory of Elliptic Problems in Unbounded Domains," Birkhäuser, Basel, 2011.doi: 10.1007/978-3-0346-0537-3.

  • 加载中

Article Metrics

HTML views() PDF downloads(88) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint