An entropy functional and explicit decay rates for a nonlinear partially dissipative hyperbolic system | Zendy

Klar A. | Zendy; Tse O. | Zendy

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An entropy functional and explicit decay rates for a nonlinear partially dissipative hyperbolic system

Author(s) -

Klar A.,

Tse O.

Publication year - 2015

Publication title -

zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 51

eISSN - 1521-4001

pISSN - 0044-2267

DOI - 10.1002/zamm.201300275

Subject(s) - dissipative system , nonlinear system , exponential decay , exponential growth , entropy (arrow of time) , mathematics , exponential function , mathematical analysis , entropy production , rate of convergence , statistical physics , physics , thermodynamics , computer science , quantum mechanics , channel (broadcasting) , computer network

We consider the convergence to (global) equilibrium of a partially dissipative hyperbolic system using entropy methods. An entropy functional is determined and exponential decay for this functional is proven. Moreover, an explicit estimate for the decay rate is given.

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