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| Self-similar Solutions for a Transport Equation with Non-local Flux |
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Citation： |
Angel CASTRO,Diego C´ORDOBA.Self-similar Solutions for a Transport Equation with Non-local Flux[J].Chinese Annals of Mathematics B,2009,30(5):505~512 |
| Page view： 1697
Net amount： 1056 |
Authors： |
Angel CASTRO; Diego C′ORDOBA; |
Foundation： |
the MCINN (Spain) (No. MTM2008-03754) and the ERC (No. StG-203138CDSIF). |
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| Abstract： |
The authors construct self-similar solutions for an N-dimensional transport
equation, where the velocity is given by the Riezs transform. These solutions imply nonuniqueness
of weak solution. In addition, self-similar solution for a one-dimensional conservative
equation involving the Hilbert transform is obtained. |
Keywords： |
Hilbert transform, Riesz transform, Transport equations, Self-similar solutions |
Classification： |
35Q35, 76B03, 42A38, 35L67 |
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