Effective kinetic equations are derived for persistent oscillations in one-dimensional viscoelasticity and barotropic compressible Navier-Stokes by coupling a kinetic description to the macroscopic flow using ideas from kinetic formulations of conservation laws.
Pedregal, Parametrized Measures and Variational Principles, Progress in Nonlinear Differential Equations and Their Applications30, Birkh¨ auser, Basel
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Derivation of effective kinetic equations describing oscillations in viscoelasticity and in compressible Navier-Stokes
Effective kinetic equations are derived for persistent oscillations in one-dimensional viscoelasticity and barotropic compressible Navier-Stokes by coupling a kinetic description to the macroscopic flow using ideas from kinetic formulations of conservation laws.