Global and exponential attractors for 3‐D wave equations with displacement dependent damping | Zendy

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Global and exponential attractors for 3‐D wave equations with displacement dependent damping

Author(s) -

Pata Vittorino,

Zelik Sergey

Publication year - 2006

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.726

Subject(s) - mathematics , dissipative system , attractor , semigroup , mathematical analysis , damped wave , exponential function , wave equation , displacement (psychology) , phase space , space (punctuation) , physics , quantum mechanics , psychology , psychotherapist , linguistics , philosophy

A weakly damped wave equation in the three‐dimensional (3‐D) space with a damping coefficient depending on the displacement is studied. This equation is shown to generate a dissipative semigroup in the energy phase space, which possesses finite‐dimensional global and exponential attractors in a slightly weaker topology. Copyright © 2006 John Wiley & Sons, Ltd.

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