CBC talk: The global existence of large BV solutions and slow erosion limit for a model of granular matters - August 28, 2008
Thursday August 28, Wen Shen, Assistant Professor of Mathematics from Pennsylvania State University will hold a talk on: "The global existence of large BV solutions and slow erosion limit for a model of granular matters"
Total number of participants: 11
Total number of gueste outside of CBC: 1
Number of different
nationalities represented: 4
Total number of speakers: 1
Total
number of talks: 1
Speaker
Dr. Wen Shen, Assistant Professor of Mathematics (Penn State University)
Abstract
In this talk I will study a $2\times2$ system of balance laws for granular matter (avalanche), proposed by Hadeler and Kuttler.
The system is weakly linearly degenerate at a point. Assuming the height of the moving layer is sufficiently small, we show that the global existence of BV solutions, for a class of initial data with bounded but possibly large total variation. Furthermore, we study the "slow erosion limit''. We show that, if the thickness of the moving layer remains small, then the profile of the standing layer depends only on the total mass of the avalanche flowing downhill, not on the time-law describing at which rate the material slides down. More precisely, in the limit as the thickness of the moving layer tends to zero, the slope of the mountain provides the unique entropy solution to a scalar integro-differential conservation law.
Participant list
When Shen <shen_w@math.psu.edu> Pennsylvania State University
Aslak Tveiti <aslak@simula.no> CBC@SIMULA
Joachim Haga <jobh@simula.no> CBC@SIMULA
Robert Artebrant <ra@simula.no> CBC@SIMULA
Emil Løvgren <emill@simula.no> CBC@SIMULA
Omar al-khayat <omark@simula.no> CBC@SIMULA
Glenn Terje Lines <glennli@simula.no> CBC@SIMULA
Xing Cai <cingcai@simula.no> CBC@SIMULA
Aschim Schroll <aschim@simula.no> CBC@SIMULA
Bjørn Fredrik Nielsen <bjornn@simula.no> CBC@SIMULA
