Régularité du problème de Kelvin–Helmholtz pour l'équation d'Euler 2d

Gilles Lebeau

doi:10.1051/cocv:2002052

Abstract

Nous prouvons que pour toute solution u du problème de Kelvin–Helmholtz des nappes de tourbillons pour l'équation d'Euler bi-dimensionnelle, définie localement en temps, la courbe de saut de u et la densité de tourbillon sont analytiques (sous une hypothèse de régularité Holderienne de la courbe de saut). Nous donnons également un résultat de régularité partielle de la trace de u sur t=0 lorsque u est définie sur un demi-interval [O,T[.

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Régularité du problème de Kelvin–Helmholtz pour l'équation d'Euler 2d

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Régularité du problème de Kelvin–Helmholtz pour l'équation d'Euler 2d

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