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arxiv: 1212.6892 · v1 · pith:2WAEKER5new · submitted 2012-12-31 · ⚛️ physics.class-ph · cond-mat.other

Generic stability in dissipative generalized mechanics

classification ⚛️ physics.class-ph cond-mat.other
keywords stabilitydissipativegeneralizedgenericmechanicsasymptoticcaseconditions
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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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