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| 担当者 | 河野俊丈 |
|---|
2015年10月20日(火)
16:50-18:20 数理科学研究科棟(駒場) 128号室
解析学火曜セミナーと共催
Danielle Hilhorst 氏 (CNRS / University of Paris-Sud)
Existence of an entropy solution in the sense of Young measures for a first order conservation law with a stochastic source term (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Hilhorst151020.pdf
解析学火曜セミナーと共催
Danielle Hilhorst 氏 (CNRS / University of Paris-Sud)
Existence of an entropy solution in the sense of Young measures for a first order conservation law with a stochastic source term (ENGLISH)
[ 講演概要 ]
We consider a finite volume scheme for a first order conservation law with a monotone flux function and a multiplicative source term involving a Q-Wiener process. We define a stochastic entropy solution in the sense of Young measures. We present some a priori estimates for the discrete solution including a weak BV estimate. After performing a time interpolation, we prove two entropy inequalities and show that the discrete solution converges along a subsequence to an entropy solution in the sense of Young measures.
This is joint work with T. Funaki, Y. Gao and H. Weber.
[ 参考URL ]We consider a finite volume scheme for a first order conservation law with a monotone flux function and a multiplicative source term involving a Q-Wiener process. We define a stochastic entropy solution in the sense of Young measures. We present some a priori estimates for the discrete solution including a weak BV estimate. After performing a time interpolation, we prove two entropy inequalities and show that the discrete solution converges along a subsequence to an entropy solution in the sense of Young measures.
This is joint work with T. Funaki, Y. Gao and H. Weber.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Hilhorst151020.pdf
