Relative Entropies for the Euler-Korteweg System and Some of Its Applications

来源 :The Fourth International Conference on Nonlinear Evolutionar | 被引量 : 0次 | 上传用户：mbcz123

【摘要】

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We review the relative entropy method in a setup where the ow is caused by a functional.The relatve entropy is then naturally defined by taking the Taylor expan

【作者】

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Thanos Tzavaras

【机构】

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KingAbdullahUniversityofScienceandTechnology,KingdomofSaudiArabia

【出处】

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The Fourth International Conference on Nonlinear Evolutionar

【发表日期】

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2015年6期

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We review the relative entropy method in a setup where the ow is caused by a functional.The relatve entropy is then naturally defined by taking the Taylor expansion of the relevant functional.As applications we pursue: weak-strong uniqueness for the Euler-Korteweg system,stability for phase transitions and convergence from Euler-Korteweg with friction in the diffusive limit to gradient flows.

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Relative Entropies for the Euler-Korteweg System and Some of Its Applications

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