We improve in two ways the well-posedness results of cite{AS2} for a slow erosion model proposed in cite{HK}: firstly we study the asymptotic profile when $rac{u_0}{1+u_0}in L^infty$, where $u_0$ is the initial datum; moreover, using a compensated compactness based argument we prove the existence of solutions when $rac{u_0}{1+u_0}in L^sigma$, $sigmage3.$
Well-posedness for a slow erosion model
Jannelli, Enrico
2017-01-01
Abstract
We improve in two ways the well-posedness results of cite{AS2} for a slow erosion model proposed in cite{HK}: firstly we study the asymptotic profile when $rac{u_0}{1+u_0}in L^infty$, where $u_0$ is the initial datum; moreover, using a compensated compactness based argument we prove the existence of solutions when $rac{u_0}{1+u_0}in L^sigma$, $sigmage3.$File in questo prodotto:
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