About the decay of surface waves on viscous fluids without surface tension

Gerhard Ströhmer

Banach Center Publications (2003)

  • Volume: 60, Issue: 1, page 55-72
  • ISSN: 0137-6934

Abstract

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We study the decay of the motions of a viscous fluid subject to gravity without surface tension with a free boundary at the top. We show that the solutions of the linearization about the equilibrium state decay, but not exponentially in a uniform manner. We also discuss the consequences of this for the non-linear equations.

How to cite

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Gerhard Ströhmer. "About the decay of surface waves on viscous fluids without surface tension." Banach Center Publications 60.1 (2003): 55-72. <http://eudml.org/doc/282064>.

@article{GerhardStröhmer2003,
abstract = {We study the decay of the motions of a viscous fluid subject to gravity without surface tension with a free boundary at the top. We show that the solutions of the linearization about the equilibrium state decay, but not exponentially in a uniform manner. We also discuss the consequences of this for the non-linear equations.},
author = {Gerhard Ströhmer},
journal = {Banach Center Publications},
keywords = {viscous incompressible fluid; viscous barotropic fluid; linearised problem; equilibrium state},
language = {eng},
number = {1},
pages = {55-72},
title = {About the decay of surface waves on viscous fluids without surface tension},
url = {http://eudml.org/doc/282064},
volume = {60},
year = {2003},
}

TY - JOUR
AU - Gerhard Ströhmer
TI - About the decay of surface waves on viscous fluids without surface tension
JO - Banach Center Publications
PY - 2003
VL - 60
IS - 1
SP - 55
EP - 72
AB - We study the decay of the motions of a viscous fluid subject to gravity without surface tension with a free boundary at the top. We show that the solutions of the linearization about the equilibrium state decay, but not exponentially in a uniform manner. We also discuss the consequences of this for the non-linear equations.
LA - eng
KW - viscous incompressible fluid; viscous barotropic fluid; linearised problem; equilibrium state
UR - http://eudml.org/doc/282064
ER -

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