Maximal regularity and viscous incompressible flows with free interface

• Autorzy: Senjo Shimizu
• Języki publikacji: EN

Abstrakty

EN

We consider a free interface problem for the Navier-Stokes equations. We obtain local in time unique existence of solutions to this problem for any initial data and external forces, and global in time unique existence of solutions for sufficiently small initial data. Thanks to global in time $L_{p} - L_{q}$ maximal regularity of the linearized problem, we can prove a global in time existence and uniqueness theorem by the contraction mapping principle.

Kategorie tematyczne

• 76D07: Stokes and related (Oseen, etc.) flows
• 35Q30: Navier-Stokes equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 81
• Numer: 1
• Strony: 471-480

Daty

wydano

2008

Twórcy

autor

Senjo Shimizu

• Faculty of Science, Shizuoka University, Shizuoka 422-8529, Japan

Identyfikatory

DOI

10.4064/bc81-0-29