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New solutions for the one-dimensional nonconservative inviscid Burgers equation - MaRDI portal

New solutions for the one-dimensional nonconservative inviscid Burgers equation (Q820036)

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scientific article; zbMATH DE number 5017396
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New solutions for the one-dimensional nonconservative inviscid Burgers equation
scientific article; zbMATH DE number 5017396

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    New solutions for the one-dimensional nonconservative inviscid Burgers equation (English)
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    6 April 2006
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    The paper studies the propagation of distributional travelling waves for the one-dimensional nonconservative inviscid Burgers equation. A product of distributions and an associated concept of global solution are defined. This work is in the spirit and a continuation of the author's paper [J. Math. Anal. Appl. 281, 641--656 (2003; Zbl 1026.35078)].
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    product of distributions
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    nonconservative Burgers equation
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    delta-solitons
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    delta-waves
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    propagation of distributional signals
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