Yoshikazu Giga

Graduate School of Mathematical Sciences
University of Tokyo, Japan
E-mail: labgiga@ms.u-tokyo.ac.jp
Page: http://www.ms.u-tokyo.ac.jp/

Fields of interest:

Navier-Stokes equation

Nonlinear PDEs

Surface  evolution of equations

Crystal growth


Recent publications:

Y. Giga, Y. Seki and N. Umeda:
On a decay rate of quenching profile at space infiniti for axisymmetric mean curvature flow,
Discrete and Continuous Dynamical Systems, 29 (2011), 1463-1470.

Y. Giga, M.-H. Giga, J. Saal:
Nonlinear Partial Differential Equations – Asymptotic Behavior of Solutions and Self-Similar Solutions,
Progress in Nonlinear Differential Equations and Their Applications79, Birkhäuser, New York, 2010.

M.-H. Giga and Y. Giga:
Very singular diffusion equations – second and fourth order problems,
Japanese J. Ind. Appl. Math., 27 (2010), 323-345.

Y. Giga, P. Górka and P. Rybka:
Nonlocal spatially inhomogeneous Hamilton-Jacobi equation with unusual free Bondary,
Discrete and Continuous Dynamical Systems, 26 (2010), 493-519.

Y. Giga and P. Rybka:
Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term,
J. Differential Equations,246 (2009), 2264-2303.

Y. Gifa and Q. Liu:
A billiard-based game interpretation of the Neumann problem for the curve shortening equation,
Adv. Diff. Eq., 14 (2009), 201-240.

Y. Giga, Y. Seki and N. Umeda:
Mean curvature flow closes open ends of noncompact surface of rotation,
Comm. Partial Differential Equations, 34 (2009), 1508-1529.

Y. Giga and N. Umeda:
On instant blow-up for semilinear heat equations with growing initial data,
Methods and Applications of Analysis, 15 (2008), 185-196.

Y. Giga, K. Inni, A. Mahalov and J. Saal:
Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data,
Indiana Univ. Math. J., 57 (2008), 2775-2791.

Y. Giga:
Surface Evolution Equations. Asymptotic Behavior of Solutions and Self-Similar Solutions,
Monographs in Mathematics, 99. Birkhäuser, Basel-Boston-Berlin, 2006.