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Creators/Authors contains: "Coti Zelati, Michele"

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  1. ; ; ; ( , Journal of Evolution Equations)
    Abstract

    We consider the Kuramoto–Sivashinsky equation (KSE) on the two-dimensional torus in the presence of advection by a given background shear flow. Under the assumption that the shear has a finite number of critical points and there are linearly growing modes only in the direction of the shear, we prove global existence of solutions with data in$$L^2$$L2, using a bootstrap argument. The initial data can be taken arbitrarily large.

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  2. ; ( , ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE)
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  3. ; ; ( , Communications in Mathematical Physics)
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  4. ; ; ; ( , Archive for Rational Mechanics and Analysis)
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  5. ; ; ( , Applied Mathematics & Optimization)
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  6. ; ; ( , Annals of PDE)
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