2 papers
math.AP2019
Traveling-Wave Solutions to the Nonlinear Double Degenerate Parabolic Equation of Turbulent Filtration with Absorption
Adam Prinkey
In this paper we prove the existence of finite traveling-wave type solutions to the nonlinear double degenerate parabolic equation of turbulent filtration with absorption.
math.AP2019
Evolution of Interfaces for the Nonlinear Double Degenerate Parabolic Equation of Turbulent Filtration with Absorption. II. Fast Diffusion Case
Ugur G. Abdulla, Adam Prinkey, Montie Avery
We prove the short-time asymptotic formula for the interfaces and local solutions near the interfaces for the nonlinear double degenerate reaction-diffusion equation of turbulent f…