Mathematics for Nonlinear Phenomena — Analysis and Computation

Beschreibung

This volume covers some of the most seminal research in the areas of mathematical analysis and numerical computation for nonlinear phenomena. Collected from the international conference held in honor of Professor Yoshikazu Giga’s 60th birthday, the featured research papers and survey articles discuss partial differential equations related to fluid mechanics,　electromagnetism, surface diffusion, and evolving interfaces. Specific focus is placed on topics such as the solvability of the Navier-Stokes equations and the regularity, stability, and symmetry of their solutions, analysis of a living fluid, stochastic effects and numerics for Maxwell’s equations, nonlinear heat equations in critical spaces, viscosity solutions describing various kinds of interfaces, numerics for evolving interfaces, and a hyperbolic obstacle problem. Also included in this volume are an introduction of Yoshikazu Giga’s extensive academic career and a long list of his published work. Students and researchers in mathematical analysis and computation will find interest in this volume on theoretical study for nonlinear phenomena.

Autor*in

Yasunori Maekawa

Themen in »Mathematics for Nonlinear Phenomena — Analysis and Computation«

Applied mathematics Computational modeling and analysis Mathematical analysis Mathematical fluid mechanics Numerical analysis Partial differential equations Yoshikazu Giga Geometric interfacial motion Navier-Stokes System Analysis Singular Paragolic Problems hyperbolic obstacle problem

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