Non-uniqueness for the hypo-viscous compressible Navier-Stokes equations

主講人：曲鵬 復(fù)旦大學(xué)教授

時(shí)間：2024年3月30日14：30

地點(diǎn)：三號(hào)樓332室

舉辦單位：數(shù)理學(xué)院

主講人介紹：曲鵬，復(fù)旦大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授。主要從事應(yīng)用偏微分方程的數(shù)學(xué)研究，在雙曲守恒律、流體力學(xué)方程弱解等方面取得的成果曾發(fā)表在 Adv. Math., Arch. Rational Mech. Anal., J. Math. Pures Appl. 等國(guó)際知名期刊。曾獲中國(guó)數(shù)學(xué)會(huì)鐘家慶數(shù)學(xué)獎(jiǎng)、中國(guó)工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)優(yōu)秀青年學(xué)者獎(jiǎng)。

內(nèi)容介紹：We would discuss the Cauchy problem for the isentropic hypo-viscous compressible Navier-Stokes equations in all dimensions d ≥ 2. For all hypo-viscosities (?Δ)^α with α ∈ (0, 1), we prove that there exist infinitely many weak solutions with the same initial data. This talk is based on a collaboration with Prof. Yachun Li, Prof. Deng Zhang and Dr. Zirong Zeng.