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 ...

The study of Korteweg–de Vries (KdV) type equations has progressed significantly, particularly in understanding the analytic properties of their solutions and the framework of well-posedness. These ...

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 [email protected] Phone: 215.895.6247 David M. Ambrose works in mathematical analysis and scientific computing for nonlinear systems of partial differential equations arising ...

University of Chicago mathematician Carlos Kenig has been named a co-recipient of the 2008 Maxime Bôcher Memorial Prize from the American Mathematical Society for his work in the field of analysis.

New research by University at Buffalo and University of Colorado Boulder mathematicians has uncovered and characterized novel two-dimensional wave patterns — waves that propagate along two directions ...