黏性不可压流体建模

Chapter 1  Introduction  1.1  The main models  1.2  Notations and some preliminary lemmasChapter 2  The Navier-Stokes Equations with Damping  2.1  Introduction  2.2  Existence of weak solutions  2.3  Existence and uniqueness of strongsolutionsChapter 3  Decay of Navier-Stokes Equations withDamping  3.1  Introduction  3.2  A priori estimates on upper bound of decay  3.3  A priori estimates on lower bound of decay  3.4  The decay of the weak solutionsChapter 4  Stokes Approximation of Non-homogeneousNavier-Stokes Equations  4.1  Introduction  4.2  Existence of weak solutions  4.3  Existence and uniqueness of strongsolutionsChapter 5  Large Solutions to Non-homogeneous Navier-StokesEquations  5.1  Introduction  5.2  The global existence of solutions  5.3  The global stability of solutionsChapter 6  Some Remarks on Planar Boussinesq Equations.  6.1  Introduction and the main results  6.2  The case of smooth initial dataReferences