Labo. of Y. Giga (Introduction)

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Introduction of Yoshikazu GIGA

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Affiliation:

Graduate School of Mathematical Sciences,
University of Tokyo

Research Field:

Nonlinear Analysis

Research Subject:

Mathematical Analysis on Differential Equations describing Nonlinear Diffusive Phenomena

Current Research:

Various differential equations have been proposed with the purpose to model phenomena in nature such as motion of fluid, crystal growth and to handle problems in technology for example in image processing. My major research topic is nonlinear diffusion equations which form an important class of partial differential equations. ( A partial differential equation is a differential equation having several independent variables.) My particular interest lies in solvability of partial differential equations under given conditions and in tracking behavior of solutions in a rigorous mathematical framework.

Keywords:

Navier-Stokes equations, surface evolution equations, blow-up phenomena of solutions, viscosity solutions, variational analysis, nonlinear diffusion equations

Awards:

Nissan Science Award (Nissan Science Foundation) (1997)
Highly Cited Researchers (ISI Thomson Scientific) (2002)
Autumn Award (Mathematical Society of Japan) (1999)
Inoue Prize for Science (Inoue Foundation for Science) (2004)
Medal of Honour with Purple Ribbon (2010)
Fellow of American Mathematical Society (2012)
Fellow of Japan Society for Industrial and Applied Mathematics (2014)