TY - JOUR
T1 - Global well-posedness for second grade fluids
AU - Clark, H. R.
AU - Friz, L.
AU - Rojas-Medar, M.
N1 - Publisher Copyright:
© World Scientific Publishing Company.
PY - 2025/2/1
Y1 - 2025/2/1
N2 - This paper deals with a study on an initial-boundary value problem for incompressible non-Newtonian fluids of degree two, in a bounded and simply connected open set Ω of R3. It will be shown that the global-in-time weak solution is uniformly stable (i.e. the behavior of the solution changes continuously with the data), and consequently this solution is unique. Furthermore, an exponential decay rate for the energy of the weak solution will also be established.
AB - This paper deals with a study on an initial-boundary value problem for incompressible non-Newtonian fluids of degree two, in a bounded and simply connected open set Ω of R3. It will be shown that the global-in-time weak solution is uniformly stable (i.e. the behavior of the solution changes continuously with the data), and consequently this solution is unique. Furthermore, an exponential decay rate for the energy of the weak solution will also be established.
KW - Second grade fluid equation
KW - energy exponential decay
KW - uniform stability of the solution
KW - uniqueness of the solution
UR - https://www.scopus.com/pages/publications/85197935399
U2 - 10.1142/S0219530524300011
DO - 10.1142/S0219530524300011
M3 - Article
AN - SCOPUS:85197935399
SN - 0219-5305
VL - 23
SP - 169
EP - 192
JO - Analysis and Applications
JF - Analysis and Applications
IS - 2
ER -