Non zero flux solutions of kinetic equations (Q2837186)

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scientific article; zbMATH DE number 6186360
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Non zero flux solutions of kinetic equations
scientific article; zbMATH DE number 6186360

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    10 July 2013
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    kinetic equations
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    Uehling Uhlenbeck equation
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    coagulation equation
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    existence theorem
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    Non zero flux solutions of kinetic equations (English)
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    Two partial cases of the kinetic Boltzmann equation are considered, the Uehling-Uhlenbeck equation and the so-called coagulation equation. The main result is a theorem on local in time existence of classical solutions to the Cauchy problems for both cases under certain restrictions on initial data. As a remark which is worthy to notice that a theorem on globalilty in time existence is desirable to explain the effect of gelation of polymers.
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