A New Class of Variational Problems Arising in the Modeling of Elastic Multi-Structures.
P.G. Ciarlet (1990)
Numerische Mathematik
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P.G. Ciarlet (1990)
Numerische Mathematik
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H. RUND (1970)
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M. Amara, J.M. Thomas (1979)
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P.G. CIARLET, R.S. VARGA (1970/71)
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Weimin Han (1991/92)
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D.N. Arnold (1981)
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C. Johnson, B. Mercier (1978)
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Oanh Chau, Dumitru Motreanu, Mircea Sofonea (2002)
Applications of Mathematics
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We consider two quasistatic problems which describe the frictional contact between a deformable body and an obstacle, the so-called foundation. In the first problem the body is assumed to have a viscoelastic behavior, while in the other it is assumed to be elastic. The frictional contact is modeled by a general velocity dependent dissipation functional. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of evolution...