Titlebook: Partial Differential Equations III; Nonlinear Equations Michael E. Taylor Book 19961st edition Springer Science+Business Media New York 199

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Book 19961st edition winds, it has developed into a body of material that interacts with many branches of math- ematics, such as differential geometry, complex analysis, and harmonic analysis, as weIl as a ubiquitous factor in the description and elucidati?n of problems in mathematical physics. This work is intended to

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Springer Science+Business Media New York 1996

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Partial Differential Equations III978-1-4757-4190-2Series ISSN 0066-5452 Series E-ISSN 2196-968X

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Euler and Navier-Stokes Equations for Incompressible Fluids,This chapter deals with equations describing motion of an incompressible fluid moving in a fixed compact space M, which it fills completely. We consider two types of fluid motion, with or without viscosity, and two types of compact space, a compact smooth Riemannian manifold with or without boundary.

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Function Space and Operator Theory for Nonlinear Analysis, study Sobolev spaces based on .., rather than just ... Sections 1 and 2 discuss the definition of Sobolev spaces .., for . ∈ Z., and inclusions of the form .. ? ... Estimates based on such inclusions have refined forms, due to E. Gagliardo and L. Nirenberg. We discuss these in §3, together with res