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Global Wellposedness for a Transport Equation with Super-critial Dissipation

Author: GuXu
Tutor: LeiZhen
School: Fudan University
Course: Applied Mathematics
Keywords: super-critical dissipation modulus of continuity fractional Laplacian global regularity
CLC: O175.2
Type: Master's thesis
Year: 2011
Downloads: 14
Quote: 0
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Abstract


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.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Partial Differential Equations
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