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

發(fā)布者:文明辦發(fā)布時間:2024-03-27瀏覽次數(shù):126


主講人:曲鵬 復旦大學教授


時間:2024年3月30日14:30


地點:三號樓332室


舉辦單位:數(shù)理學院


主講人介紹:曲鵬,復旦大學數(shù)學科學學院教授。主要從事應用偏微分方程的數(shù)學研究,在雙曲守恒律、流體力學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. 等國際知名期刊。曾獲中國數(shù)學會鐘家慶數(shù)學獎、中國工業(yè)與應用數(shù)學學會優(yōu)秀青年學者獎。


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.