Analytical Theories and Mathematical Aspects
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One of the most immediate and elementary applications of the spectral method of Sect. 2.2 is the local existence, regularity and uniqueness theory of the solutions of the Euler and Navier—Stokes equations in arbitrary dimension.
KeywordsInitial Data Weak Solution Euler Equation Heat Kernel Analytical Theory
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- [Ga93]Gallavotti, G.: Some rigorous results about 3D Navier Stokes, in “Turbulence in spatially extended systems”, p.45–74, ed. R. Benzi, C. Bas-devant, S. Ciliberto, Nova Science Publishers, Commack (NY), 1993.Google Scholar