Global Wellposedness For A Transport Equation With Super-critial Dissipation

Posted on:2012-05-19

Degree:Master

Type:Thesis

Country:China

Candidate:X M Gu

Full Text:PDF

GTID:2120330335498166

Subject:Applied Mathematics

Abstract/Summary:

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We study a one-dimensional transport equation with non-local velocity and su-percritial dissipation. Using the methods of modulus of continuity introduced in [1] and fractional Laplacian representation introduced in [2], we prove its global well-posedness for small periodic initial data in Holder spaces.

Keywords/Search Tags:

super-critical dissipation, modulus of continuity, fractional Laplacian, global regularity

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