On the existence of local unique solution of self-gravitating gaseous equations
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- Murakami Takahiro
- Osaka University Graduate School of Engineering Science Department of System Innovation
Bibliographic Information
- Other Title
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- ある自己重力気体方程式系の解の局所一意存在について
Description
I studied the existence of local unique solution of self-gravitational gaseous equations with self-similar solutions, which is treated by Masakatsu Murakami and Katsunobu Nishihara(2004),in setting diffusion term 0, i.e. perfect fluid case. Considering system is composed of four equations ,which is mass, momentum and energy conservation laws and Poisson equation, and three ones of state. For this system, Tetu Makino(1986) researched the existence of local unique solution of Euler-Poisson system with free boundary problem under isothermal and isentropic state. Then, I intend to explain the sketch of proof how I got the existence of local unique solution of first system which is setting gravitational potential constant and isothermal case, and compare with Makino's result in my presentation.
Journal
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- NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan
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NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 57 (0), 261-261, 2008
National Committee for IUTAM
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Details 詳細情報について
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- CRID
- 1390001205591940608
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- NII Article ID
- 130004604064
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- Text Lang
- ja
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- Data Source
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- JaLC
- CiNii Articles
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- Abstract License Flag
- Disallowed