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Titlebook: Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models; Franck Boyer,Pierre Fabrie Book 2013 Spr

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Analysis tools,The goal of this chapter is to describe the analysis tools that we use in later chapters. We have gathered together fundamental concepts required to study many linear or nonlinear evolution partial differential equations coming from many areas of physics and biology, for instance.
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Boundary conditions modelling,In this chapter, we consider two different problems related to boundary conditions that one may encounter when trying to compute numerical approximations of real flows. These problems arise when the computational domain is not exactly the original physical domain which is of interest.
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Franck Boyer,Pierre FabrieThe book is self-contained.The methods presented in the book can be applied to a wide range of domains in nonlinear analysis.Some very recent research results are presented along with more classical o
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