Irena Lasiecka - University of Virginia, Department of Mathematics, Charlottesville, VA 22901, United States (email)
This issue comprises a selection of papers in the general area of
analysis and control of systems described by non-linear evolutionary
equations, that are relevant to applications in mathematical
physics. Models considered range from classical non-linear wave and
heat equations to quite complex systems consisting of two or more
coupled equations. In this latter case, coupling often occurs
between two different types of dynamics - say, a hyperbolic
component and a parabolic component - with coupling in various
forms, throughout the interior of the spatial domain and/or at the
interface between the two media. Illustrations include systems of
non-linear thermo-elasticity; fluid structure- and
acoustic-structure interactions; electro-magnetism among others.
Published: June 2009.