Structure of solutions to the systems of nonlinear hyperbolic partial differential equations arising in fluid dynamics and conservation laws for phase transition dynamics

Research Project

Project/Area Number	23540250
Research Category	Grant-in-Aid for Scientific Research (C)
Allocation Type	Multi-year Fund
Section	一般
Research Field	Global analysis
Research Institution	International Christian University
Principal Investigator	YAMAZAKI Mitsuru 国際基督教大学, 教養学部, 教授 (30240732)
Co-Investigator(Renkei-kenkyūsha)	ISOZAKI Hiroshi 筑波大学, 数理物質科学研究科, 教授 (90111913) ASAKURA Fumioki 大阪電気通信大学, 工学部, 教授 (20140238)
Project Period (FY)	2011-04-28 – 2016-03-31
Project Status	Completed (Fiscal Year 2015)
Budget Amount *help	¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000) Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000) Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000) Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000) Fiscal Year 2011: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords	超局所解析 / 流体力学 / 双曲型保存則 / 特殊相対論 / オイラー方程式 / ボルツマン方程式 / 多重双曲型 / エントロピー
Outline of Final Research Achievements	We study the existence of solutions to the Riemann problem with small data for self-similar boundary layers to the hyperbolic conservation equation with viscosity and capillarity. And we also study the time-global existence of solutions to the multi-dimensional parabolic-elliptic model for chemical aggression.