On the Wellposedness of Three-Dimensional Inhomogeneous Navier–Stokes Equations in the Critical Spaces

Autor:	Ping Zhang, Guilong Gui, Hammadi Abidi
Rok vydání:	2011
Předmět:	Mathematics (miscellaneous) Critical space Mechanical Engineering Mathematical analysis Mathematics::Analysis of PDEs Compressibility Complex system Besov space Vector field Navier–Stokes equations Analysis Mathematics
Zdroj:	Archive for Rational Mechanics and Analysis. 204:189-230
ISSN:	1432-0673 0003-9527
DOI:	10.1007/s00205-011-0473-4
Popis:	We prove the local wellposedness of three-dimensional incompressible inhomogeneous Navier–Stokes equations with initial data in the critical Besov spaces, without assumptions of small density variation. Furthermore, if the initial velocity field is small enough in the critical Besov space \({\dot B^{1/2}_{2,1}(\mathbb{R}^3)}\) , this system has a unique global solution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f29c7e920be9000ffad81093939359f0 https://doi.org/10.1007/s00205-011-0473-4 Zobrazit plný text záznamu Full text from SpringerLink