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Solvability of a class of thermal dynamical contact problems with subdifferential conditions

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  • We study a class of dynamic thermal sub-differential contact problems with friction, for long memory visco-elastic materials, which can be put into a general model of system defined by a second order evolution inequality, coupled with a first order evolution equation. We present and establish an existence and uniqueness result, by using general results on first order evolution inequality, with monotone operators and fixed point methods.
    Mathematics Subject Classification: Primary: 74M10, 74M15, 74F25, 74H20, 74H25, 34G20.

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