On an elasto-dynamic evolution equation with non dead load and friction

Oanh Chau

Applications of Mathematics (2006)

  • Volume: 51, Issue: 3, page 229-246
  • ISSN: 0862-7940

Abstract

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In this paper, we are interested in the dynamic evolution of an elastic body, acted by resistance forces depending also on the displacements. We put the mechanical problem into an abstract functional framework, involving a second order nonlinear evolution equation with initial conditions. After specifying convenient hypotheses on the data, we prove an existence and uniqueness result. The proof is based on Faedo-Galerkin method.

How to cite

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Chau, Oanh. "On an elasto-dynamic evolution equation with non dead load and friction." Applications of Mathematics 51.3 (2006): 229-246. <http://eudml.org/doc/33252>.

@article{Chau2006,
abstract = {In this paper, we are interested in the dynamic evolution of an elastic body, acted by resistance forces depending also on the displacements. We put the mechanical problem into an abstract functional framework, involving a second order nonlinear evolution equation with initial conditions. After specifying convenient hypotheses on the data, we prove an existence and uniqueness result. The proof is based on Faedo-Galerkin method.},
author = {Chau, Oanh},
journal = {Applications of Mathematics},
keywords = {evolution equation; existence and uniqueness; Faedo-Galerkin method; friction; elasticity; dynamic process; evolution equation; existence and uniqueness; friction; elasticity; dynamic process},
language = {eng},
number = {3},
pages = {229-246},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On an elasto-dynamic evolution equation with non dead load and friction},
url = {http://eudml.org/doc/33252},
volume = {51},
year = {2006},
}

TY - JOUR
AU - Chau, Oanh
TI - On an elasto-dynamic evolution equation with non dead load and friction
JO - Applications of Mathematics
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 3
SP - 229
EP - 246
AB - In this paper, we are interested in the dynamic evolution of an elastic body, acted by resistance forces depending also on the displacements. We put the mechanical problem into an abstract functional framework, involving a second order nonlinear evolution equation with initial conditions. After specifying convenient hypotheses on the data, we prove an existence and uniqueness result. The proof is based on Faedo-Galerkin method.
LA - eng
KW - evolution equation; existence and uniqueness; Faedo-Galerkin method; friction; elasticity; dynamic process; evolution equation; existence and uniqueness; friction; elasticity; dynamic process
UR - http://eudml.org/doc/33252
ER -

References

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