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Stability of rarefaction for stochastic viscous conservation law

發(fā)布者:文明辦發(fā)布時(shí)間:2022-11-28瀏覽次數(shù):571


主講人:董昭 中科院數(shù)學(xué)與系統(tǒng)科學(xué)研究院研究員


時(shí)間:2022年11月30日9:00


地點(diǎn):騰訊會(huì)議 609 305 268


舉辦單位:數(shù)理學(xué)院


主講人介紹:1996年博士畢業(yè)于中科院應(yīng)用數(shù)學(xué)研究所。主要從事狄氏型與馬氏過(guò)程隨機(jī)過(guò)程、隨機(jī)微分方程理論研究,特別是在隨機(jī)流體力學(xué)方程和多遍歷態(tài)的隨機(jī)動(dòng)力系統(tǒng)有比較深入的研究。 在國(guó)際期刊發(fā)表論文50余篇。主持國(guó)家自然科學(xué)基金委重點(diǎn)項(xiàng)目一項(xiàng)、重大子項(xiàng)目一項(xiàng)、主持科技部國(guó)家重點(diǎn)研發(fā)計(jì)劃資助子項(xiàng)目一項(xiàng),參加重點(diǎn)和面上多項(xiàng),和他人合作獲得教育部自然科學(xué)二等獎(jiǎng)。任北京航空航天大學(xué)兼職博導(dǎo),中國(guó)科學(xué)院大學(xué)崗位教授。


內(nèi)容介紹:It was proved in [9] that the rarefaction wave for the stochastic Burgers equation with transport noise [14] is time- asymptotically stable. This paper is concerned with more general flux, viscosity and conservative noise. By manipulating the weakly monotone methods, we prove the global well-possedness of strong solutions for general H^1 initial data. Furthermore, we show that the rarefaction wave is still time-asymptotically stable for general stochastic viscous conservation laws with L^p time. This is the joint work with Fei min Huang and Houqi Su.