Dispersive shock waves (DSWs) represent a class of nonlinear wave phenomena in which phase dispersion, rather than viscosity or dissipation, governs the evolution of abrupt changes in a medium. Unlike ...
This is a preview. Log in through your library . Abstract We study the analytic smoothing effect for a class of dispersive equations. In this paper we consider the microlocal analytic smoothness for ...
This is a preview. Log in through your library . Abstract We generalize the Abstract Interpolation Lemma proved by the authors in Carvajal and Neves (2010). Using this extension, we show in a more ...
Office: Korman Center 290 [email protected] Phone: 215.895.6247 David M. Ambrose works in mathematical analysis and scientific computing for nonlinear systems of partial differential equations arising ...