In this paper we study local well-posedness in the energy space for a family of dispersive equations that can be seen as dispersive " interpolations " between the KdV and the Benjamin-Ono equation.

The effect of heterogeneity on seawater intrusion is analyzed. Heterogeneity in hydraulic properties such as hydraulic conductivity is well known to significantly affect groundwater flow and solute transport. Yet, few studies [Mc Kribbin and O`Sullivan, 1980; Schincariol and Schwartz, 1990; Schincariol et al., 1997 and 1998; Simmons et al., 2001] have focused on evaluating the impact of heterog...

We construct infinitely accurate approximate solutions to systems of hyperbolic partial differential equations which model short wavelength dispersive nonlinear phenomena. The principal themes are the following. ~1! The natural framework for the study of dispersion is wavelength e solutions of systems of partial differential operators in e]. The natural e-characteristic equation and e-eikonal e...

The original Lamb system was introduced by Horace Lamb in 1900, [13], as a simple model for the phenomenon of radiation damping experienced by a vibrating body in an energy conducting medium. Examples include vibrations of an elastic sphere in a gaseous medium, electrical oscillations of a spherical conductor, a dielectric sphere with large inductance, relativistic radiation of energy from a co...