TY - JOUR
T1 - Local Existence and Uniqueness of Navier–Stokes–Schrödinger System
AU - Huang, Jiaxi
N1 - Publisher Copyright:
© 2021, School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2021/3
Y1 - 2021/3
N2 - In this article, we prove that there exists a unique local smooth solution for the Cauchy problem of the Navier–Stokes–Schrödinger system. Our methods rely upon approximating the system with a sequence of perturbed system and parallel transport and are closer to the one in Ding and Wang (Sci China 44(11):1446–1464, 2001) and McGahagan (Commun Partial Differ Equ 32(1–3):375–400, 2007).
AB - In this article, we prove that there exists a unique local smooth solution for the Cauchy problem of the Navier–Stokes–Schrödinger system. Our methods rely upon approximating the system with a sequence of perturbed system and parallel transport and are closer to the one in Ding and Wang (Sci China 44(11):1446–1464, 2001) and McGahagan (Commun Partial Differ Equ 32(1–3):375–400, 2007).
KW - Initial value problem
KW - Local solution
KW - Navier–Stokes–Schrödinger system
KW - Schrödinger maps
UR - http://www.scopus.com/inward/record.url?scp=85101681761&partnerID=8YFLogxK
U2 - 10.1007/s40304-020-00214-7
DO - 10.1007/s40304-020-00214-7
M3 - Article
AN - SCOPUS:85101681761
SN - 2194-6701
VL - 9
SP - 101
EP - 118
JO - Communications in Mathematics and Statistics
JF - Communications in Mathematics and Statistics
IS - 1
ER -