Generalised energy conservation law for chaotic phenomena
نویسندگان
چکیده
منابع مشابه
Generalised Energy Conservation Law for Wave Equations with Variable Propagation Speed
We investigate the long time behaviour of the L-energy of solutions to wave equations with variable speed. The novelty of the approach is the combination of estimates for higher order derivatives of the coefficient with a stabilisation property. 1. Model problem We consider the Cauchy problem (1.1) utt − a (t)∆u = 0, u(0, ·) = u1 ∈ H (R), Dtu(0, ·) = u2 ∈ L (R) for a wave equation with variable...
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We investigate the long time behaviour of the L-energy of solutions to wave equations with variable speed. The novelty of the approach is the combination of estimates for higher order derivatives of the coefficient with a stabilisation property. 1. Model problem We consider the Cauchy problem utt − a (t)∆u = 0, u(0, ·) = u1 ∈ H (R), Dtu(0, ·) = u2 ∈ L (R) (1.1) for a wave equation with variable...
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ژورنال
عنوان ژورنال: Acta Mechanica Sinica
سال: 2019
ISSN: 0567-7718,1614-3116
DOI: 10.1007/s10409-019-00886-7