Levy solutions of a randomly forced Burgers equation
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CHABANOL, Marie-Line | |
| hal.structure.identifier | Institut Fourier [IF ] | |
| dc.contributor.author | DUCHON, Jean | |
| dc.date.accessioned | 2024-04-04T02:40:29Z | |
| dc.date.available | 2024-04-04T02:40:29Z | |
| dc.date.created | 2009-04-22 | |
| dc.date.issued | 2009 | |
| dc.identifier.issn | 0022-4715 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191069 | |
| dc.description.abstractEn | We consider the one dimensional Burgers equation forced by a brownian in space and white noise in time process $\partial_t u + u \partial_x u = f(x,t)$, with $2E(f(x,t)f(y,s)) = (|x|+|y|-|x-y|)\delta(t-s)$ and we show that there are Levy processes solutions, for which we give the evolution equation of the characteristic exponent. In particular we give the explicit solution in the case $u_0(x)=0$. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | Burgers equation | |
| dc.subject.en | Levy process | |
| dc.subject.en | random forcing | |
| dc.title.en | Levy solutions of a randomly forced Burgers equation | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s10955-009-9824-z | |
| dc.subject.hal | Physique [physics]/Matière Condensée [cond-mat]/Mécanique statistique [cond-mat.stat-mech] | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.identifier.arxiv | 0904.3397 | |
| bordeaux.journal | Journal of Statistical Physics | |
| bordeaux.page | 1095 | |
| bordeaux.volume | 136 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00377801 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00377801v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Statistical%20Physics&rft.date=2009&rft.volume=136&rft.spage=1095&rft.epage=1095&rft.eissn=0022-4715&rft.issn=0022-4715&rft.au=CHABANOL,%20Marie-Line&DUCHON,%20Jean&rft.genre=article |
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