Titlebook: Mathematics for Nonlinear Phenomena — Analysis and Computation; In Honor of Yoshikaz Yasunori Maekawa,Shuichi Jimbo Conference proceedings

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Springer Proceedings in Mathematics & Statisticshttp://image.papertrans.cn/m/image/626889.jpg

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978-3-319-88316-8Springer International Publishing AG 2017

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Mathematics for Nonlinear Phenomena — Analysis and Computation978-3-319-66764-5Series ISSN 2194-1009 Series E-ISSN 2194-1017

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Conference proceedings 2017ed 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 o

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An Implicit Boundary Integral Method for Interfaces Evolving by Mullins-Sekerka Dynamics,ce. The resulting algorithm thus inherits the benefits of both level set methods and boundary integral methods to simulate the nonlocal front propagation problem with possible topological changes. We present numerical results in both two and three dimensions to demonstrate the effectiveness of the algorithm.

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Geometric Interfacial Motion: Coupling Surface Diffusion and Mean Curvature Motion,l problems are described. While sometimes an anisotropic formulation might seem to be preferable, often an isotropic formulation is helpful to consider. Some analytic and numerical results are being presented, with some supporting experimental evidence. Many open questions remain.