Diffusion Approximation for Self-Similarity of Stochastic Advection in Burgers’ Equation
Communications in Mathematical Physics, ISSN: 1432-0916, Vol: 333, Issue: 3, Page: 1287-1316
2015
- 12Citations
- 5Captures
- 1Mentions
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Article Description
Self-similarity of Burgers’ equation with stochastic advection is studied. In self-similar variables a stationary solution is constructed which establishes the existence of a stochastically self-similar solution for the stochastic Burgers’ equation. The analysis assumes that the stochastic coefficient of advection is transformed to a white noise in the self-similar variables. Furthermore, by a diffusion approximation, the long time convergence to the self-similar solution is proved in the sense of distribution.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84930542573&origin=inward; http://dx.doi.org/10.1007/s00220-014-2117-7; http://link.springer.com/10.1007/s00220-014-2117-7; http://link.springer.com/content/pdf/10.1007/s00220-014-2117-7; http://link.springer.com/content/pdf/10.1007/s00220-014-2117-7.pdf; http://link.springer.com/article/10.1007/s00220-014-2117-7/fulltext.html; https://dx.doi.org/10.1007/s00220-014-2117-7; https://link.springer.com/article/10.1007/s00220-014-2117-7
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