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On the nonlinear diffusion equation of Kolmogorov, Petrovskij, and Piscunov - MaRDI portal

On the nonlinear diffusion equation of Kolmogorov, Petrovskij, and Piscunov (Q1070456)

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scientific article; zbMATH DE number 3935635
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English
On the nonlinear diffusion equation of Kolmogorov, Petrovskij, and Piscunov
scientific article; zbMATH DE number 3935635

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    On the nonlinear diffusion equation of Kolmogorov, Petrovskij, and Piscunov (English)
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    1985
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    This paper simplifies and extends a theorem of M. Bramson, giving initial data for which the solution of the Kolmogorov, Petrovskij, and Piskunov equation \((u_ t=u_{xx}+F(u))\) converges to the appropriate travelling waves.
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    K-P-P equation
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    nonlinear diffusion
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    travelling waves
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