| Mathematical Topics in Fluid Mechanics Contributor(s): Lions, Pierre-Louis (Author) |
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ISBN: 0198514883 ISBN-13: 9780198514886 Publisher: Clarendon Press OUR PRICE: $194.75 Product Type: Hardcover - Other Formats Published: June 1998 Annotation: This volume and its companion, both written by a winner of the 1994 Fields Medal, provide a unique and rigorous treatise on mathematical aspects of fluid mechanics models. These models consist of systems of nonlinear partial differential equations for which, despite a long history of important mathematical contributions, no complete mathematical understanding is available. This second volume focuses on compressible Navier-Stokes equations. It is probably the first reference covering the issue of global solutions in the large. It includes entirely new material on compactness properties of solutions for the Cauchy problem, the existence and regularity of stationary solutions, and the existence of global weak solutions. Written by one of the world's leading researchers in nonlinear partial differential equations, Mathematical Topics in Fluid Mechanics will be an indispensable reference for every serious researcher in the field. Its topicality and the clear, concise, and deep presentation by the author make it an outstanding contribution to one of the most important branches of science, the rigorous mathematical modeling of physical phenomena. |
| Additional Information |
| BISAC Categories: - Technology & Engineering | Hydraulics - Mathematics | Applied - Technology & Engineering | Mechanical |
| Dewey: 532.053 |
| LCCN: 96004085 |
| Series: Mathematical Topics in Fluid Mechanics |
| Physical Information: 0.81" H x 6.14" W x 9.21" (1.51 lbs) 364 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This volume and its companion, both written by a winner of the 1994 Fields Medal, provide a unique and rigorous treatise on mathematical aspects of fluid mechanics models. These models consist of systems of nonlinear partial differential equations for which, despite a long history of important mathematical contributions, no complete mathematical understanding is available. This second volume focuses on compressible Navier-Stokes equations. It is probably the first reference covering the issue of global solutions in the large. It includes entirely new material on compactness properties of solutions for the Cauchy problem, the existence and regularity of stationary solutions, and the existence of global weak solutions. Written by one of the world's leading researchers in nonlinear partial differential equations, Mathematical Topics in Fluid Mechanics will be an indispensable reference for every serious researcher in the field. Its topicality and the clear, concise, and deep presentation by the author make it an outstanding contribution to one of the most important branches of science, the rigorous mathematical modeling of physical phenomena. |