A global existence theorem for the nonlinear BGK equation |
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Authors: | William Greenberg Jacek Polewczak |
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Institution: | (1) Department of Mathematics and Center for Transport Theory and Mathematical Physics, Virginia Polytechnic Institute and State University, 24061 Blacksburg, Virginia |
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Abstract: | A global existence theorem with large initial data inL
1 is given for the nonlinear BGK equation. The method, which is based on the recent averaging lemma of Golseet al., utilizes a weak compactness argument inL
1. |
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Keywords: | BGK equation kinetic equation kinetic theory semilinear equation |
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