Shock waves stability in layered structures

Nonlinear Stability of Semidiscrete Shock Waves

The orbital stability of possibly large semi-discrete shock waves is considered. These waves are traveling wave solutions of discrete in space and continuous in time systems of conservation laws, which constitute a class of Lattice Dynamical Systems. The underlying lattice xZis by nature not invariant by change of frame. Thus semi-discrete shock waves cannot really be transformed into stationar...

Stability and Dynamics of Viscous Shock Waves

We examine from a classical dynamical systems point of view stability, dynamics, and bifurcation of viscous shock waves and related solutions of nonlinear pde. The central object of our investigations is the Evans function: its meaning, numerical approximation, and behavior in various asymptotic limits.

Nonlinear Stability of Viscous Shock Waves

Excitation of guided waves in layered structures with negative refraction.

We study the electromagnetic beam reflection from layered structures that include the so-called double-negative metamaterials, also called left-handed metamaterials. We predict that such structures can demonstrate a giant lateral Goos-Hänchen shift of the scattered beam accompanied by a splitting of the reflected and transmitted beams due to the resonant excitation of surface waves at the inter...

Spin Waves in Layered Structures of Antiferromagnetic F.C.C. MnTe