Asymptotic equipartition rate for wave motion in an even number of space dimensions

DOI10.1016/0022-247X(86)90203-9zbMath0619.35067MaRDI QIDQ1089515

George Dassios, Manoussos G. Grillakis

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

potentialkinetic energyrate of decayCauchy dataasymptotic equipartitionenergy conserving wave

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (1)

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Cites Work

• Equipartition of energy in elastic wave propagation
• Dissipation rates and partition of energy in thermoelasticity
• Equipartition of energy for anisotropic elastic waves
• On partition of energy for uniformly propagative systems
• Abstract equipartition of energy theorems
• An asymptotic property of solutions of wave equations. II
• Equipartition of energy in wave motion
• Equipartition of energy for higher order abstract hyperbolic equations
• Equipartition of energy for Maxwell’s equations
• Asymptotic equipartition of kinetic and strain energy for elastic waves in anisotropic media
• Equipartition of energy for higher-order hyperbolic equations
• Energy theorems for magnetoelastic waves in a perfectly conducting medium
• On the Asymptotic Behavior of Solutions of the Wave Equations
• An Asymptotic Property of Solutions of Wave Equations
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