Energy propagation in dissipative systems. I: Centrovelocity for linear systems

DOI10.1016/0165-2125(89)90001-2zbMath0687.73036OpenAlexW2032461792MaRDI QIDQ1263344

Francesco Mainardi, Embrecht W. C. Van Groesen

Publication date: 1989

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(89)90001-2

zbMATH Keywords

balance equationfirst-order hyperbolic systemsenergy densitylinear wave equations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Wave equation (35L05) Partial differential equations of mathematical physics and other areas of application (35Q99) Waves in solid mechanics (74J99)

Related Items (8)

Wave-diffusion dualism of the neutral-fractional processes ⋮ Fractional wave equation and damped waves ⋮ Energy propagation in dissipative systems. II: Centrovelocity for nonlinear wave equations ⋮ Balance laws and centro velocity in dissipative systems ⋮ Telegraph equation: two types of harmonic waves, a discontinuity wave, and a spectral finite element ⋮ Decay of travelling waves in dissipative Poisson systems ⋮ Energy velocity of complex harmonic plane waves in viscous fluids ⋮ Solitary wave dynamics in an external potential

Cites Work

• Unnamed Item
• Unnamed Item
• Energy velocity for hyperbolic dispersive waves
• Surface Waves
• General Theorems on the Equivalence of Group Velocity and Energy Transport
• Group velocity and energy propagation for three-dimensional waves
• Unidirectional wave propagation in one-dimensional first-order Hamiltonian systems
• Energy flux for plane waves in linear conservative systems
• A note on group velocity
• Group Velocity
• On the propagation of energy in linear conservative waves

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