Titlebook: Scalar Conservation Laws; Giuseppe Maria Coclite Book 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license to Spr

Cpap155

Dysarthria

Functions with Bounded Variation, solutions live if the initial data belong to . . We give several examples and prove some qualitative results and some compactness theorems that play a key role in the existence results. The proof and the definitions require only the knowledge of some basic measure theory because we do not consider

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novelty

歪曲道理

Parameter

Entropy Solutions,utional solution if and only if the Rankine-Hugoniot Condition holds. We then provide the definition of entropy solution and prove a necessary and sufficient condition for a shock to be an entropy solution. We conclude the chapter with the Kružkov Theorem stating the uniqueness and stability the entropy solution of a Cauchy problem.

修正案

Functions with Bounded Variation, solutions live if the initial data belong to . . We give several examples and prove some qualitative results and some compactness theorems that play a key role in the existence results. The proof and the definitions require only the knowledge of some basic measure theory because we do not consider the general .-dimensional case.

膝盖

Vanishing Viscosity,n. It is interesting for the reminiscence of the convergence of the Navier-Stokes equations towards the Euler ones in fluid-dynamics. Moreover, it gives precious hints on the convergence analysis of numerical schemes.

fiscal

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