Existence result of mild solution of Boltzmann equation

Existence result of mild solution of Boltzmann equation

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碩士 === 國立政治大學 === 應用數學研究所 === 98 === In this thesis, we consider the initial-value problem for the Boltzmann equation.We prove that the existence of mild solution in the weighted Lebesgue space by using Banach's fixed point theorem, and that the uniform stability of solution with respect to the...

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Main Authors: Chao-Cheng Wei, 魏照誠
Other Authors: 李明融
Format: Others
Language:en_US
Published: 2010
Online Access:http://ndltd.ncl.edu.tw/handle/07457437236445898991
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spelling ndltd-TW-098NCCU55070132016-04-25T04:29:10Z http://ndltd.ncl.edu.tw/handle/07457437236445898991 Existence result of mild solution of Boltzmann equation 波茲曼方程式柔和解的存在性 Chao-Cheng Wei 魏照誠 碩士 國立政治大學 應用數學研究所 98 In this thesis, we consider the initial-value problem for the Boltzmann equation.We prove that the existence of mild solution in the weighted Lebesgue space by using Banach's fixed point theorem, and that the uniform stability of solution with respect to the weighted norm. Key words: Boltzmann equation, Maxwellian, existence of mild solutions, uniform stability. 李明融 2010 學位論文 ; thesis 52 en_US
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language en_US
format Others
sources NDLTD
description 碩士 === 國立政治大學 === 應用數學研究所 === 98 === In this thesis, we consider the initial-value problem for the Boltzmann equation.We prove that the existence of mild solution in the weighted Lebesgue space by using Banach's fixed point theorem, and that the uniform stability of solution with respect to the weighted norm. Key words: Boltzmann equation, Maxwellian, existence of mild solutions, uniform stability.
author2 李明融
author_facet 李明融
Chao-Cheng Wei
魏照誠
author Chao-Cheng Wei
魏照誠
spellingShingle Chao-Cheng Wei
魏照誠
Existence result of mild solution of Boltzmann equation
author_sort Chao-Cheng Wei
title Existence result of mild solution of Boltzmann equation
title_short Existence result of mild solution of Boltzmann equation
title_full Existence result of mild solution of Boltzmann equation
title_fullStr Existence result of mild solution of Boltzmann equation
title_full_unstemmed Existence result of mild solution of Boltzmann equation
title_sort existence result of mild solution of boltzmann equation
publishDate 2010
url http://ndltd.ncl.edu.tw/handle/07457437236445898991
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AT wèizhàochéng bōzīmànfāngchéngshìróuhéjiědecúnzàixìng
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