ISSN 1880-2818

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ISSN 1880-2818

数理解析研究所講究録 1592

流体と気体の数学解析

京都大学数理解析研究所

2008 年 4 月

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RIMS K6kyOroku Z592

MathematicalAnalysis in FZuid and Gas Dynamics

AppriL 2008

Research institute for Mathematical Si ?iences

K)2oto Ujpziversity, Kyoto, lapan

This is a report of research done at Research institute for Mathematical

Sciences, Kyoto University The papers contained herem are m final form

and will not be submitted for publication elsewhere

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流体と気体の数学解析

Mathematical Analysis in Fluid and Gas Dynamics RIMS研究集会報告集

2007年7月11日{}˜ 7月13日

研究代表者西畑伸也(Shmya Nishibata) 副代表者隠居良行(Yoshlyロkl Kage1)

1 Global behavlor of solutlons for the (lro ss-Pltaevskll equatlon一一一一一一一一一一一一一一一一一一一一一一一一一一一1 京大・理学(Kyoto U.) 中西賢次(KenJi Nakanishi) 2 A New Approach to the Null Condition for Nonlmear Wave Equatrons一一一一一一一一一一一一一一一一一一5

和歌山大・教育(Wakayama U)片山聡一郎(Solchrro ktayama) 3 Spectrurn and Energy of Waves m Mean Shear Flows一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一・一一24

九大・数理学(Kyushu u) 廣田真(Makoto Hrrota)

〃福本康秀 (Yasuhide Fukmumoto)

4 On a Stokes approximation of two dunensional extenor Oseen

flow near the boundary pee一一eee一一一一一be-eee一一一一一一e一一一一e 一e一一一e-e-eeeeeeeeeeee-eeeeeeeeeeb一一e一一eeeeee-e 41 早大・基幹理工(Waseda U)岡村光紘(Mltsmblro Okamura)

〃柴田良弘 (Yosh 血 ro Shibata)

〃網戸曽和 (Nonkazu Yamaguchi)

5 The Sto:kes and Navier。Stokes equatlons in an ape血re domam一一・。・。…。…一…一…一一・一。一一53 早大・理工学(Waseda・U.) 久保引解(Ta:kayukr Kubo)

6 UNIIFORM L2-STABILITY FOR THE BOLTZMANN EQUATION・・一一一一一e一一… eeee 69

Seoul Nat. U. Seung-Yeal Ha

it Seok-Bae Yun

7 Rarefied gas flows mduced by temperature fields and therr apphcations一一一一一一一一一一一一一一一一一一75 京大・工学(Kyoto U) 杉元宏(Hlroshi Suglmoto)

8 . Steady solution of the Boltzmann equation for evaporatuon and condensanon

on a planar mterface wlth a general boundary condrtron一一一一一一一一一一一一一一一一一一一一一一一一一p一一一一一一一一一一一一一一95 北大・工学(Hokkaldo・U) 矢野猛(Takeru・Yano)

9 Vamshmg of Vacuum States and B low-up Phenomena of the Compressible

Navier-Stokes Equatloms。一。一一一一一一一一・・一・一。。・・一一一一一一一一一・…一一・一一一一一一一・一一一一一・。一・一・・一一一一一一一一。一一105 Capital Normal U / Chmese U Hong Kong Har-Liang Li

Academia Smica/Chinese U. Hong Kong Jmg Li Chmese U Hong Kong/Capital Normal U Zhoupmg Xm

一 i一

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1 O Global Solvability and Some Uniform-m-Time Bounds of the Solution for

Self-Gravltatmg Vlscous Stellar Models一一一一一一一一一一一一t・一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一116 慶慮大・理工

(Kelo U)

梅原守道

(Mormlch1 Umehara)

〃谷温之 (Atusl Tan1)

1 1 Sharp asymptotics for the generalized Burgers equations一一一一一・一一一一一一一一一一一一一一一一一一一一一一一一一一一一一130 阪大・理学(Osaka U) 加藤正和(Masa:kazu Kato)

1 2 Remark on decay estimates for solutions to the cntical drssipative

quas1-geostrophic equatlons。。一一ローP,...幽一・■一.・。一一一一・・。一・… 。●一一・o■■・・ロ.一一eロ。一一一・s一・.。・一」一一一一一143 京大・理学(Kyoto U) 三浦英之(Hldeyuki Mlura)

1 3 On regulanty of sumable weak solutions to the Navier-Stokes equatrons

m unbounded doMatns一一一一一一一一一一一一一一一一一一一一一一一一一・一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一151 阪大・理学(Osaka U) 鈴木友之(Tomoyuki Suzu:k1)

1 4 Aii mitial-boundary value problem for motion of mcompressible mhomogeneous

fluld-like bodles e■一一一一. e一一一一一一・・■・・p一・.一.一一一・一b一一一・一e一・一一一一ロー一一脚・pe・■・一・.一一ロ9一一e一一一 ee・一鞠一一一一。 164

慶慮大・理工学(Kelo U) 中野直人(Naoto・Nakano)

1 5 Weighted Estunates for Extenor Nonstatronary Navier-Stokes Flows一一一一一一一一一一一一一…一一一一183 Chmese Acad. Sci. Cheng He

金沢大・自然科学(Kanazawa・U)宮川鉄朗(TetSuro Mlyakawa)

・一il一一一