People

Itsuko Hashimoto

Email	hashimoto(@math.sci.osaka-u.ac.jp)
Research	partial differential equation
Keywords	compressible fluid, Navier-Stokes equations
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My research interest is nonlinear partial differential equations. To be more specific, I am working on the initial value problem for viscous conservation law, Burgers equation, and compressible Navier-Stokes equation on 1-dimensional space. Compressible Navier-Stokes equations describe the motion of compressible fluid and consist of the mass conservation law, the law of momentum conservation, and the energy conservation law. This equation differs depending on the properties of the fluid. Recently, I have been interested in the radially symmetric solutions for the compressible fluid on the multi-dimensional spaces and working on constructing the stationary solution and the inviscid limit problem.