Return to search

波茲曼方程式柔和解的存在性 / Existence result of mild solution of Boltzmann equation

我們利用Banach固定點定理證明了波茲曼方程式的柔和解在一個加權魯貝格空間上的存在性,並證明其解在如此的範數下之均勻穩定性。
關鍵詞: 波茲曼方程,馬氏分佈函數,柔和解的存在性,均勻穩定。 / 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.

Identiferoai:union.ndltd.org:CHENGCHI/G0097751004
Creators魏照誠, Chao-Cheng Wei
Publisher國立政治大學
Source SetsNational Chengchi University Libraries
Language英文
Detected LanguageEnglish
Typetext
RightsCopyright © nccu library on behalf of the copyright holders

Page generated in 0.0019 seconds