On the well-posedness for the Euler-Korteweg model in several space dimensions

By S. Benzoni-Gavage, Raphaël Danchin, Stéphane Descombes. 2007

142 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8f25caac2a66e6838541e6650ff2ed2ce6ea20d1

Citations in the corpus

• Existence of Global Weak Solution for Compressible Fluid Models of Korteweg Type (2009, unknown): “In [ 5 ], Benzoni et al. generalize their result of [4] for general dimensions (N ≥ 1). More precisely they prove the local in time well-posedness in any dimension (N ≥ 1) with initial data (ρ0 ,u 0) ∈ (ρ ,u )+ H s+1 × H s with s> N 2 +1 . Here (ρ ,u )a re smooth reference solutions.”