Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/26889
Título: | Applications of parabolic Dirac operators to the instationary viscous MHD equations on conformally flat manifolds |
Autor: | Cerejeiras, Paula Kähler, Uwe Kraußhar, Sören R. |
Palavras-chave: | Quaternionic integral operator calculus Instationary incompressible viscous magnetohydrodynamics equations Parabolic Dirac operators Fundamental solutions Conformally flat manifolds PDE on spin manifolds |
Data: | 2019 |
Editora: | Birkhäuser |
Resumo: | In this paper we apply classical and recent techniques from quaternionic analysis using parabolic Dirac type operators and related Teodorescu and Cauchy-Bitzadse type operators to set up some analytic representation formulas for the solutions to the time dependent incompressible viscous magnetohydrodynamic equations on some conformally flat manifolds, such as cylinders and tori associated with different spinor bundles. Also in this context a special variant of hypercomplex Eisenstein series related to the parabolic Dirac operator serve as kernel functions. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/26889 |
DOI: | 10.1007/978-3-030-23854-4_8 |
ISBN: | 978-3-030-23853-7 |
Aparece nas coleções: | CIDMA - Capítulo de livro DMat - Capítulo de livro CHAG - Capítulo de livro |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
Kraushaar.pdf | 391.92 kB | Adobe PDF | Ver/Abrir |
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