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首页> 外文期刊>Discrete and continuous dynamical systems >ANALYSIS OF NON-EQUILIBRIUM EVOLUTION PROBLEMS: SELECTED TOPICS IN MATERIAL AND LIFE SCIENCES
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ANALYSIS OF NON-EQUILIBRIUM EVOLUTION PROBLEMS: SELECTED TOPICS IN MATERIAL AND LIFE SCIENCES

机译：非平衡演化问题分析：材料和生命科学中的精选主题

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摘要

The more one dives into the structural details of material or life sciences problems, the more sophisticated and specific the mathematical tools needed to address these problems become. The challenges are generally twofold: On the one hand one wishes to find accurate descriptions of the microscale, while on the other hand, having in view certain microscale dynamics (close to micro phase transitions), one wishes to capture a basic understanding over much larger scales. In both cases one aims at well-posed PDE models in the sense of Hadamard, which are not only computable numerically but also verifiable against experiments.
机译：人们越深入研究材料或生命科学问题的结构细节，解决这些问题所需的数学工具就越复杂和具体。挑战通常是双重的：一方面，人们希望找到对微尺度的准确描述，另一方面，鉴于某些微尺度动力学（接近微相变），人们希望在更大的范围内获得基本的了解。秤。在这两种情况下，都针对Hadamard的定位良好的PDE模型，该模型不仅可以进行数值计算，还可以通过实验进行验证。

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  • 来源
    《Discrete and continuous dynamical systems》 |2014年第1期|a1-a3|共3页
  • 作者

    Toyohiko Aiki; Joost Hulshof; Noboyuki Kenmochi; Adrian Muntean;

  • 作者单位

    Department of Mathematics, Faculty of Science Japan Women's University 2-8-1 Mejirodai, Bunkyo-ku, Tokyo 112-8681, Japan;

    Department of Mathematics, Faculty of Sciences VU University Amsterdam, The Netherlands;

    School of Education (Mathematics), Bukkyo University 96 Kitahananobo-cho, Murasakino Kita-ku, Kyoto 603-8301, Japan;

    Department of Mathematics and Computer Science CASA - Center for Analysis, Scientific computing and Applications ICMS - Institute for Complex Molecular Systems Eindhoven University of Technology, Eindhoven, The Netherlands;

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