25.04.2024, 16:15
– Raum 1.10
Forschungsseminar Differentialgeometrie
Atiyah-Singer-Indexsatz
Christian Bär (UP)
The well-posedness of Cauchy problem of 3D compressible Euler equations is studied. By using Smith-Tataru's approach \cite{ST}, we prove the local existence, uniqueness and stability of solutions for Cauchy problem of 3D compressible Euler equations, where the initial data of velocity, density, specific vorticity v,ρ∈Hs,ϖ∈Hs0(2<s0<s). It's an alternative and simplified proof of the result given by Q. Wang in \cite{WQEuler}.