Magnetohydrodynamics's Type Equations Over Clifford Algebras

DOI10.1142/S1402925110000933zbMath1203.35190OpenAlexW2072881544MaRDI QIDQ3060133

Marko A. Rojas-Medar, Eduardo A. Notte-Cuello, I. N. Kondrashuk

Publication date: 1 December 2010

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1402925110000933

zbMATH Keywords

Dirac operatorClifford algebrasClifford analysisfluid equationsmagnetohydrodynamics's type equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Complex variables methods applied to problems in fluid mechanics (76M40) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (1)

Existence and uniqueness of very weak solution of the MHD type system

Cites Work

• Unnamed Item
• The geometry of Schrödinger symmetry in non-relativistic CFT
• Clifford analysis over unbounded domains
• Symmetries of fluid dynamics with polytropic exponent
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• Factorization of the non-stationary Schrödinger operator
• The squares of the Dirac and spin-Dirac operators on a Riemann-Cartan space(time)
• Über ein Rand-Anfangswertproblem der Magnetohydrodynamik
• Evaluating Feynman integrals.
• Conformal symmetry of an extended Schrödinger equation and its relativistic origin
• Global strong solutions of equations of magnetohydrodynamic type
• Elliptic boundary value problems of fluid dynamics over unbounded domains
• Parabolic Dirac operators and the Navier-Stokes equations over time-varying domains

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