Titlebook: Convex Integration Applied to the Multi-Dimensional Compressible Euler Equations; Simon Markfelder Book 2021 The Editor(s) (if applicable)

出價(jià)

Preparation for Applying Convex Integration to Compressible EulerBefore we implement convex integration in the context of the barotropic Euler system in Chap. ., we prepare some ingredients needed for convex integration in this chapter. In Sect. . we adjust the problem in such a way that we can apply convex integration.

縫紉

Implementation of Convex IntegrationOur goal in this chapter is to prove the main result of this book, namely Theorem .. This theorem can be seen as a “compressible analogue” of a result by De Lellis and Székelyhidi, see [., Proposition 2] or [., Proposition 2.4].

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hypotension

Riemann Initial Data in Two Space Dimensions for Isentropic EulerIn this chapter we consider the isentropic Euler equations – this means barotropic with the particular pressure law (.) – on the whole two-dimensional space, i.e. .. Keep in mind the definition of admissible weak solutions to the corresponding initial value problems, namely Definition ..

pulse-pressure

辯論的終結(jié)

liaison

0075-8434 hyperbolic conservation lawsThis book applies the convex integration method to multi-dimensional compressible Euler equations in the barotropic case as well as the full system with temperature. The convex integration technique, originally developed in the context of differential inclusions, was app

MUTED

0075-8434 integration in the compressible framework is developed. The main result proves that under a certain assumption there exist infinitely many solutions to an abstract initial bounda978-3-030-83784-6978-3-030-83785-3Series ISSN 0075-8434 Series E-ISSN 1617-9692

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Convex Integration Applied to the Multi-Dimensional Compressible Euler Equations

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