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Generic stability in dissipative generalized mechanics (1212.6892v1)

Published 31 Dec 2012 in physics.class-ph and cond-mat.other

Abstract: A theory of dissipative generalized continuum mechanics is presented in the framework of weakly nonlocal non-equilibrium thermodynamics. The evolution equation of microdeformation is obtained by thermodynamic principles. Conditions of generic stability, the linear asymptotic stability of homogeneous equilibrium, is derived in a simple but representative case.

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