Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models

Franck Boyer is a Professor at Aix-Marseille Université. Pierre Fabrie is a Professor at Université Bordeaux.

• Preface.- Contents.- The equations of fluid mechanics.- Analysis tools.- Sobolev spaces.- Steady Stokes equations.- Navier-Stokes equations for homogeneous fluids.- Nonhomogeneous fluids.- Boundary conditions modeling.- Classic differential operators.- Thermodynamics supplement.- References.- Index.

From the reviews: "This book is a valuable contribution to the theory of Navier-Stokes equations and related models. It contains important existence, uniqueness and stability results, together with a rigorous analysis of all treated problems. It is warmly recommended to all researchers interested in modern nonlinear problems in fluid mechanics." (Mirela Kohr, zbMATH, Vol. 1286, 2014)