2 papers
math.AP2014
Traveling Waves for Conservation Laws with Cubic Nonlinearity and BBM Type Dispersion
Michael Shearer, Kimberly R. Spayd, Ellen R. Swanson
Scalar conservation laws with non-convex fluxes have shock wave solutions that violate the Lax entropy condition. In this paper, such solutions are selected by showing that some of…
physics.flu-dyn2013
Surfactant Spreading on a Thin Liquid Film: Reconciling Models and Experiments
Ellen R. Swanson, Stephen L. Strickland, Michael Shearer +1
The spreading dynamics of surfactant molecules on a thin fluid layer is of both fundamental and practical interest. A mathematical model formulated by Gaver and Grotberg 1990 descr…