TY - JOUR
T1 - On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain
AU - Shibata, Yoshihiro
N1 - Funding Information:
2000 Mathematics Subject Classification. Primary: 35Q35; Secondary: 76D07. Key words and phrases. Exterior domains, Navier-Stokes equations, free boundary problem, without surface tension, local well-posedness, maximal Lp-Lq regularity, weak Dirichet problem. Partially supported by JSPS@Grant-in-aid for Scientific Research (A) - 17H0109, Top Global University Project, and JSPS program of the Japanese-German Graduate Externship.
Publisher Copyright:
© 2018 American Institute of Mathematical Sciences. All rights reserved.
PY - 2018/7
Y1 - 2018/7
N2 - This paper deals with the local well-posedness of free boundary problems for the Navier-Stokes equations in the case where the uid initially occupies an exterior domain Ω in N-dimensional Euclidian space ℝN.
AB - This paper deals with the local well-posedness of free boundary problems for the Navier-Stokes equations in the case where the uid initially occupies an exterior domain Ω in N-dimensional Euclidian space ℝN.
KW - Exterior domains
KW - Free boundary problem
KW - Local well-posedness
KW - Maximal L-L regularity
KW - Navier-Stokes equations
KW - Weak Dirichet problem
KW - Without surface tension
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U2 - 10.3934/cpaa.2018081
DO - 10.3934/cpaa.2018081
M3 - Article
AN - SCOPUS:85045341043
SN - 1534-0392
VL - 17
SP - 1681
EP - 1721
JO - Communications on Pure and Applied Analysis
JF - Communications on Pure and Applied Analysis
IS - 4
ER -