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Titlebook: Numerical Analysis of Compressible Fluid Flows; Eduard Feireisl,Mária Lukáčová-Medviďová,Bangwei S Book 2021 The Editor(s) (if applicable)

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Weak-Strong Uniqueness PrincipleI. We discuss the weak-strong uniqueness principle for the class of dissipative solutions and establish the relevant results for the Euler and the Navier–Stokes system using the relative energy inequality.
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Finite Volume Method for the Complete Euler System developed in Part II of this monograph we prove the convergence of the method by showing that the method yields stable and consistent aproxmation. This can be seen as a nonlinear analogue of the Lax equivalence principle.
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Finite Volume Method for the Navier–Stokes Systemcal results developed in Part II of this monograph we obtain convergence results valid for any adiabatic constant . > 1 which is more general than other convergence results available in the literature so far.
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Mixed Finite Volume – Finite Element Method for the Navier–Stokes Systemproximations and generalized solutions. The proposed scheme combines the advantage of finite volume approximation of the convective terms in the continuity and momentum equations, with finite element approximation of the dissipation terms.
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Finite Difference Method for the Navier-Stokes Systemdifference method approximating the Navier–Stokes equations. In addition, using the relative energy functional we derive the convergence rate of finite difference approximations towards a regular solution.
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Fodor’s thesis that thinking transpires in a language of thAccording to our commonsense view of the matter, beliefs, desires, intentions and the like are special kinds of internal states the possession of which by a given cr- ture potentially explains its behavior and otherwise renders the creature
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Eduard Feireisl,Mária Lukáčová-Medviďová,Hana Mizerová,Bangwei Sheh by a given cr- ture potentially explains its behavior and otherwise renders the creature intelligible to us. So-called folk psychology provides us with a rough-and-ready network of counterfactuals delimiting the role supposedly played by these internal states v- à-vis perceptual input, inference,
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