AN ENERGETICALLY CONSISTENT VISCOUS SEDIMENTATION MODEL

作者：Zabsonre Jean De Dieu^*; Lucas Carine; Fernandez Nieto Enrique

来源：Mathematical Models and Methods in Applied Sciences, 2009, 19(3): 477-499.

DOI：10.1142/s0218202509003504

• Sedimentation
• shallow water
• viscous models
• energetic consistency
• stability

In this paper we consider a two-dimensional viscous sedimentation model which is a viscous Shallow-Water system coupled with a diffusive equation that describes the evolution of the bottom. For this model, we prove the stability of weak solutions for periodic domains and give some numerical experiments. We also discuss around various discharge quantity choices.

• 出版日期2009-3