Preface

Thomas P. Witelski; David M. Ambrose; Andrea Bertozzi; Anita T. Layton; Zhilin Li; Michael L. Minion

doi:10.3934/dcdsb.2012.17.4i

Article Contents

2012, Volume 17, Issue 4: i-ii. Doi: 10.3934/dcdsb.2012.17.4i open access

This issue Previous Article Next Article Vorticity jumps in steady water waves

Preface

1.
Mathematics Department, Duke University, Box 90320, Durham, NC 27708-0320
2.
Department of Mathematics, Drexel University, Philadelphia, PA 19104
3.
520 Portola Plaza, Math Sciences Building 6363, Los Angeles, CA 90095
4.
Department of Mathematics, Duke University, Durham, NC 27708
5.
Center For Research in Scientiﬁc Computation & Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205
6.
Mathematics Dept., CB3250, Univ. of North Carolina, Chapel Hill, NC, 27599

Published: June 2012

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Abstract

Studies of problems in fluid dynamics have spurred research in many areas of mathematics, from rigorous analysis of nonlinear partial differential equations, to numerical analysis, to modeling and applied analysis of related physical systems. This special issue of Discrete and Continuous Dynamical Systems Series B is dedicated to our friend and colleague Tom Beale in recognition of his important contributions to these areas.

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References

[1]	J. T. Beale, T. Kato and A. Majda, Remarks on the breakdown of smooth solutions for the $3$-D Euler equations, Comm. Math. Phys., 94 (1984), 61-66.
[2]	J. Thomas Beale, The existence of solitary water waves, Comm. Pure Appl. Math., 30 (1977), 373-389.
[3]	J. Thomas Beale, Thomas Y. Hou and John Lowengrub, Convergence of a boundary integral method for water waves, SIAM J. Numer. Anal., 33 (1996), 1797-1843.
[4]	J. Thomas Beale, Thomas Y. Hou and John S. Lowengrub, Growth rates for the linearized motion of fluid interfaces away from equilibrium, Comm. Pure Appl. Math., 46 (1993), 1269-1301.
[5]	J. Thomas Beale and Andrew Majda, Vortex methods. I, Convergence in three dimensions, Math. Comp., 39 (1982), 1-27.