Harmonic Viscoelastic Waves Propagating Parallel to the Layers of Laminated Media

Plane waves in anisotropic viscoelastic media

Two concepts of plane waves in anisotropic viscoelastic media are studied. One of these concepts allows for the use of methods based on the theory of complete Bernstein functions. This allows for a deeper study of frequency-domain asymptotics of the attenuation function and timedomain regularity at the wavefronts. A relation between the direction of the energy flux density and the attenuation v...

Waves in stratified viscoelastic media with microstructure

An extension of the O'Doherty and Anstey theory [R. F. O'Doherty and N. A. Anstey, Geophys. Prosp. 19, 430458 (1971)] is derived for waves in finely layered, anisotropic, viscoelastic media. Multiple scattering effects cause the direct wave to be delayed and broadened, subject to a deterministic integrodifferential delay equation. The kernel depends upon time-domain autocorrelations of reflecti...

Plasma acceleration by the interaction of parallel propagating Alfvén waves

The stability of parallel-propagating circularly polarized Alfvén waves revisited

The parametric instability of parallel-propagating circularly polarized Alfvén waves (pump waves) is revisited. The stability of these waves is determined by the linearized system of magnetohydrodynamic equations with periodic coefficients. The variable substitution that reduces this system of equations to a system with constant coefficients is suggested. The system with constant coefficients i...

Nonlinear evolution of parallel propagating Alfvén waves: Vlasov - MHD simulation

Nonlinear evolution of circularly polarized Alfvén waves are discussed by using the recently developed Vlasov-MHD code, which is a generalized Landaufluid model. The numerical results indicate that as far as the nonlinearity in the system is not so large, the Vlasov-MHD model can validly solve time evolution of the Alfvénic turbulence both in the linear and nonlinear stages. The present Vlasov-...