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Mathematical Topics in Fluid Mechanics is written by Pierre-Louis Lions and published by OUP Oxford. It's available with International Standard Book Number or ISBN identification 0199679215 (ISBN 10) and 9780199679218 (ISBN 13).
One of the most challenging topics in applied mathematics has been the development of the theory of nonlinear partial differential equations. Despite a long history of contributions, there exists no central core theory. This two volume work forms a unique and rigorous treatise on various mathematical aspects of fluid mechanics models.