Maximal regularity and viscous incompressible flows with free interface

@article{SenjoShimizu2008,
abstract = {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.},
author = {Senjo Shimizu},
journal = {Banach Center Publications},
keywords = {- maximal regularity; Navier-Stokes equations; viscous incompressible flows; free interface problem; global in time unique existence; local in time unique existence},
language = {eng},
number = {1},
pages = {471-480},
title = {Maximal regularity and viscous incompressible flows with free interface},
url = {http://eudml.org/doc/281835},
volume = {81},
year = {2008},
}

TY - JOUR
AU - Senjo Shimizu
TI - Maximal regularity and viscous incompressible flows with free interface
JO - Banach Center Publications
PY - 2008
VL - 81
IS - 1
SP - 471
EP - 480
AB - 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.
LA - eng
KW - - maximal regularity; Navier-Stokes equations; viscous incompressible flows; free interface problem; global in time unique existence; local in time unique existence
UR - http://eudml.org/doc/281835
ER -