Mathematics for Nonlinear Phenomena: Analysis and Computation
Mathematics for Nonlinear Phenomena: Analysis and Computation
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DOI：
10.1007/978-3-319-66764-5
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
S. Jimbo;S. Goto;Y. Kohsaka;H. Kubo;Yasunori Maekawa;M. Ohnuma
中科院分区：
文献类型：
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作者：
S. Jimbo;S. Goto;Y. Kohsaka;H. Kubo;Yasunori Maekawa;M. Ohnuma
本卷涵盖了非线性现象的数学分析和数值计算领域的一些最具开创性的研究。为纪念吉贺吉和教授60岁生日而举行的国际会议上收集的专题研究论文和调查文章讨论了与流体力学、电磁学、表面扩散和演化界面有关的偏微分方程。具体的重点放在诸如Navier-Stokes方程的可解性及其解的规则性、稳定性和对称性、活性流体的分析、麦克斯韦方程组的随机效应和数值、临界空间中的非线性热方程、描述各种界面的粘度解、演化界面的数值和双曲障碍问题等主题上。还包括在本卷是千贺义和的广泛的学术生涯的介绍和他发表的作品的一长串。数学分析和计算的学生和研究人员将对非线性现象的理论研究感兴趣。
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.