Rahul Barthwal

On Hyperbolic Approximations for a Class of Dispersive and Diffusive-Dispersive Equations

Abstract We introduce novel approximate systems for dispersive and diffusive-dispersive equations with nonlinear fluxes. For purely dispersive equations, we construct a first-order, strictly hyperbolic approximation. Local well-posedness of smooth solutions is achieved by constru...

A Hyperbolic Model for Two-Layer Thin Film Flow with a Perfectly Soluble Anti-Surfactant

Abstract. We consider the motion of a two-layer thin film that consists of two immiscible viscous fluids and is endowed with an anti-surfactant solute. The presence of such solute particles induces variations of the surface tension and interfacial stress driving a Marangoni-type...