A conservative stochastic Dirac-Klein-Gordon system
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866913365319745536 |
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| author | Dinvay, Evgueni Selberg, Sigmund |
| author_facet | Dinvay, Evgueni Selberg, Sigmund |
| contents | Considered herein is a particular nonlinear dispersive stochastic system consisting of Dirac and Klein-Gordon equations. They are coupled by nonlinear terms due to the Yukawa interaction. We consider a case of homogeneous multiplicative noise that seems to be very natural from the perspective of the least action formalism. We are able to show existence and uniqueness of a corresponding Cauchy problem in Bourgain spaces. Moreover, the regarded model implies charge conservation, known for the deterministic analogue of the system, and this is used to prove a global existence result for suitable initial data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_00903 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A conservative stochastic Dirac-Klein-Gordon system Dinvay, Evgueni Selberg, Sigmund Analysis of PDEs Considered herein is a particular nonlinear dispersive stochastic system consisting of Dirac and Klein-Gordon equations. They are coupled by nonlinear terms due to the Yukawa interaction. We consider a case of homogeneous multiplicative noise that seems to be very natural from the perspective of the least action formalism. We are able to show existence and uniqueness of a corresponding Cauchy problem in Bourgain spaces. Moreover, the regarded model implies charge conservation, known for the deterministic analogue of the system, and this is used to prove a global existence result for suitable initial data. |
| title | A conservative stochastic Dirac-Klein-Gordon system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2305.00903 |