Balance laws and centro velocity in dissipative systems

DOI10.1063/1.528666zbMath0728.73001OpenAlexW2084173686MaRDI QIDQ3352583

Embrecht W. C. Van Groesen, Francesco Mainardi

Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://research.utwente.nl/en/publications/balance-laws-and-centro-velocity-in-dissipative-systems(b23c1690-ff43-489c-a39d-f02842bdf705).html

zbMATH Keywords

incompressible Navier-Stokes equationsnonlinear equationspropagation velocityunique decompositionlocal conservation lawKorteweg-de Vries- Burgers equationsuniqueness of total flux

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) KdV equations (Korteweg-de Vries equations) (35Q53) Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) Theory of constitutive functions in solid mechanics (74A20) Foundations of fluid mechanics (76A02) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

Related Items (7)

Decay of conservation laws and their generating functions ⋮ Wave-diffusion dualism of the neutral-fractional processes ⋮ Taylor trick and travelling wave solutions ⋮ Perturbations of differential equations retaining conserved quantities ⋮ Fractional wave equation and damped waves ⋮ Energy flux in dissipative media ⋮ Decay of travelling waves in dissipative Poisson systems

Cites Work

• Energy velocity for hyperbolic dispersive waves
• Time-asymptotics and the self-organization hypothesis for 2D Navier- Stokes equations
• Energy propagation in dissipative systems. I: Centrovelocity for linear systems
• Plane waves in linear homogeneous media. II
• 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
• A note on group velocity
• Some comments on linear wave equations
• Group Velocity
• On the propagation of energy in linear conservative waves

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