TY - JOUR
T1 - Global unique solvability of nonhomogeneous asymmetric fluids
T2 - A Lagrangian approach
AU - Braz e Silva, P.
AU - Cruz, F. W.
AU - Loayza, M.
AU - Rojas-Medar, M. A.
N1 - Publisher Copyright:
© 2020 Elsevier Inc.
PY - 2020/7/5
Y1 - 2020/7/5
N2 - We show global existence and uniqueness of solutions for the 3D nonhomogeneous asymmetric fluids equations through a Lagrangian approach. In particular, uniqueness of the solution is proved under quite soft assumptions about its regularity, which brings the knowledge about nonhomogeneous asymmetric fluids to the same level as for the variable density Navier-Stokes equations.
AB - We show global existence and uniqueness of solutions for the 3D nonhomogeneous asymmetric fluids equations through a Lagrangian approach. In particular, uniqueness of the solution is proved under quite soft assumptions about its regularity, which brings the knowledge about nonhomogeneous asymmetric fluids to the same level as for the variable density Navier-Stokes equations.
KW - Global well-posedness
KW - Lagrangian coordinates
KW - Nonhomogeneous asymmetric fluids
UR - https://www.scopus.com/pages/publications/85077746888
U2 - 10.1016/j.jde.2020.01.001
DO - 10.1016/j.jde.2020.01.001
M3 - Article
AN - SCOPUS:85077746888
SN - 0022-0396
VL - 269
SP - 1319
EP - 1348
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 2
ER -