The initial-boundary value problem for a nonlinear dispersive system with time-dependent boundary condition is discussed in the Sobolev space H1 from the point of view of the theory of nonlinear ...

Stochastic nonlinear wave equations and Schrödinger equations represent a fascinating confluence of probability theory and the analysis of partial differential equations. By incorporating random ...

Computing traveling wave solutions of the fifth order Korteweg-de Vries equation through Whitham theory Whitham modulation theory is a useful tool for describing the adiabatic evolution of periodic ...

Office: Korman Center 290 dma68@drexel.edu Phone: 215.895.6247 David M. Ambrose works in mathematical analysis and scientific computing for nonlinear systems of partial differential equations arising ...