Remark to dynamic contact problems for bodies with a singular memory

Jiří Jarušek

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 3, page 545-550
  • ISSN: 0010-2628

Abstract

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The existence of a solution to the dynamic contact of a body having a singular memory with a rigid undeformable support is proved under some weaker assumption than that in [3].

How to cite

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Jarušek, Jiří. "Remark to dynamic contact problems for bodies with a singular memory." Commentationes Mathematicae Universitatis Carolinae 39.3 (1998): 545-550. <http://eudml.org/doc/248273>.

@article{Jarušek1998,
abstract = {The existence of a solution to the dynamic contact of a body having a singular memory with a rigid undeformable support is proved under some weaker assumption than that in [3].},
author = {Jarušek, Jiří},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Signorini contact condition in displacements; small singular memory; variational inequality; penalization; a-priori and dual estimates; interpolation; existence of solutions; Signorini contact condition in displacement; small singular memory; variational inequality; penalization; a priori and dual estimates; interpolation; existence of solution},
language = {eng},
number = {3},
pages = {545-550},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Remark to dynamic contact problems for bodies with a singular memory},
url = {http://eudml.org/doc/248273},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Jarušek, Jiří
TI - Remark to dynamic contact problems for bodies with a singular memory
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 3
SP - 545
EP - 550
AB - The existence of a solution to the dynamic contact of a body having a singular memory with a rigid undeformable support is proved under some weaker assumption than that in [3].
LA - eng
KW - Signorini contact condition in displacements; small singular memory; variational inequality; penalization; a-priori and dual estimates; interpolation; existence of solutions; Signorini contact condition in displacement; small singular memory; variational inequality; penalization; a priori and dual estimates; interpolation; existence of solution
UR - http://eudml.org/doc/248273
ER -

References

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  1. Lions J.L., Magenes E., Problèmes aux limites non-homogènes et applications, Dunod, Paris, 1968. Zbl0212.43801
  2. Jarušek J., Solvability of the variational inequality for a drum with a memory vibrating in the presence of an obstacle, Boll. Unione Mat. Ital. 7 (8-A) (1994), 113-122. (1994) MR1273193
  3. Jarušek J., Dynamical contact problems for bodies with a singular memory, Boll. Unione Mat. Ital. 7 (9-A) (1995), 581-592. (1995) MR1363559
  4. Jarušek J., Dynamical contact problems with given friction for viscoelastic bodies, Czech. Math. J. 46 (1996), 475-487. (1996) MR1408299
  5. Jarušek J., Eck Ch., Dynamic contact problems with small Coulomb friction for viscoelastic bodies. Existence of solutions, for a preliminary version see SFB 404 Bericht Nr. 97/1, Universität Stuttgart 1997; to appear in Math. Mod. Meth. Appl. Sci. MR1671535

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