TY - JOUR
T1 - Existence and Uniqueness of the Cauchy Problem for a Generalized Navier-Stokes Equations
JO - Journal of Partial Differential Equations
VL - 3
SP - 266
EP - 274
PY - 2003
DA - 2003/08
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5424.html
KW - Cauchy problem
KW - generalized Navier-Stokes equations
KW - hyperdissipation
KW - mild solution
AB -  We consider the Cauchy problem for a generalized Navier-Stokes equations with hyperdissipation, with the initial data in L^p_σ. We follow the theme of [1] but with more complicated analysis on the symbol and obtain the existence and uniqueness results.