Well-posedness for a slow erosion model

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:456

Article

Coclite, Giuseppe Maria¹  Jannelli, Enrico² 

[1] Polytech Univ Bari, Dept Mech Math & Management, Via E Orabona 4, I-70125 Bari, Italy

[2] Univ Bari, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy

关键词: Vanishing viscosity;    Entropy solutions;    Well-posedness;    Granular flows;   

DOI  :  10.1016/j.jmaa.2017.07.006

来源: Elsevier

【 摘 要 】

We improve in two ways the well-posedness results of [2] for a slow erosion model proposed in [11]: firstly we study the asymptotic profile when w(0)/1+u(0) is an element of L-infinity where uo is the initial datum; moreover, using a compensated compactness based argument we prove the existence of solutions when u(0)/1+u(0) is an element of L-sigma , sigma >= 3. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free