Peaking regimes in problems for the quasilinear equation of heat and mass transfer with convection (Q1176937)

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scientific article; zbMATH DE number 12698
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Peaking regimes in problems for the quasilinear equation of heat and mass transfer with convection
scientific article; zbMATH DE number 12698

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    Peaking regimes in problems for the quasilinear equation of heat and mass transfer with convection (English)
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    25 June 1992
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    The author constructs \(LS\)- and \(HS\)-solutions [\textit{A. A. Samarskij}, \textit{V. A. Galaktionov}, \textit{S. P. Kurdyumov} and \textit{A. P. Mikhajlov}, Peaking modes in problems for quasilinear parabolic equations (Russian) (Nauka 1987; Zbl 0631.35002)] of the equation \[ \partial u/\partial t=(\partial/\partial x)(k(u)\partial u/\partial x)-v(t)\partial u/\partial x-Q(u), \] where \(k\) and \(Q\) are nonnegative and continuous.
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