By Pierre-Louis Lions
This quantity and its significant other, either written through a winner of the 1994 Fields Medal, offer a special and rigorous treatise on mathematical features of fluid mechanics types. those versions include structures of nonlinear partial differential equations for which, regardless of an extended background of significant mathematical contributions, no entire mathematical knowing is offered. This moment quantity makes a speciality of compressible Navier-Stokes equations. it truly is most likely the 1st reference masking the difficulty of worldwide options within the huge. It contains completely new fabric on compactness houses of options for the Cauchy challenge, the lifestyles and regularity of desk bound options, and the life of worldwide susceptible options. Written via one of many world's top researchers in nonlinear partial differential equations, Mathematical themes in Fluid Mechanics should be an integral reference for each critical researcher within the box. Its topicality and the transparent, concise, and deep presentation through the writer make it an excellent contribution to 1 of an important branches of technology, the rigorous mathematical modeling of actual phenomena.