Fluid dynamic instabilities: theory and application to pattern forming in complex media

Patterning through instabilities in complex media: theory and applications.

On electrically driven pattern-forming instabilities in planar nematics

2014 The theoretical description of the threshold and near-threshold behavior of electrohydrodynamic convection in nematic liquid crystals in the (low-frequency) conduction regime is reconsidered. We present essentially the full three-dimensional linear stability analysis of the basic state and a major part of the weaklynonlinear theory of the convective state. Boundary conditions at the upper ...

Application of the Boundary Element Method to Three-Dimensional Dynamic Solution of Fluid-Saturated Porous Media Problems

Application of the Boundary Element Method to Three-Dimensional Dynamic Solution of Fluid-Saturated Porous Media Problems

Amplitude equations near pattern forming instabilities for strongly driven ferromagnets

A transversally driven isotropic ferromagnet being under the influence of a static external and an uniaxial internal anisotropy field is studied. We consider the dissipative Landau-Lifshitz equation as the fundamental equation of motion and treat it in 1 + 1 dimensions. The stability of the spatially homogeneous magnetizations against inhomogeneous perturbations is analyzed. Subsequently the dy...