Motion of an Elastic Solid inside an Incompressible Viscous Fluid

被引：0
作者：
Daniel Coutand
Steve Shkoller
机构：
[1] University of California at Davis,Department of Mathematics
来源：
Archive for Rational Mechanics and Analysis | 2005年 / 176卷
关键词：
Neural Network; Weak Solution; Nonlinear Dynamics; Function Space; Electromagnetism;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The motion of an elastic solid inside an incompressible viscous fluid is ubiquitous in nature. Mathematically, such motion is described by a PDE system that couples the parabolic and hyperbolic phases, the latter inducing a loss of regularity which has left the basic question of existence open until now.
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页码：25 / 102
页数：77
相关论文
共 13 条
  • [1] Beale J.T.(1983)Large-time regularity of viscous surface waves Arch. Rational Mech. Anal. 84 307-352
  • [2] Conca undefined(2000)undefined Commun. Partial Differential Equations 25 1019-undefined
  • [3] Desjardins undefined(1999)undefined Arch. Rational Mech. Anal. 146 59-undefined
  • [4] Desjardins undefined(2001)undefined Rev. Mat. Complut. 14 523-undefined
  • [5] Ebenfeld undefined(2002)undefined Quat. Appl. Math. 60 547-undefined
  • [6] Flori undefined(2000)undefined Ann. Inst. H. Poincaré Anal. Non Linéaire 17 753-undefined
  • [7] Grandmont undefined(1998)undefined C. R. Acad. Sci. Paris Sér. I. 326 651-undefined
  • [8] Grandmont undefined(2000)undefined Math. Model. Numer. Anal. 34 609-undefined
  • [9] Gunzburger undefined(2000)undefined J. Math. Fluid Mech. 2 219-undefined
  • [10] Serre undefined(1987)undefined Japan J. Appl. Math. 4 33-undefined
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