On the magnetohydrodynamic type equations in a new class of non-cylindrical domains
On the magnetohydrodynamic type equations in a new class of non-cylindrical domains
The existence and uniqueness theorems are presented for the system of partial differential equations describing the motion of an incompressible magnetohydrodynamic fluid of finite electrical conductivity in the case of no external forces except hydrostatic pressure. The spatial domain is non-cylindrically symmetric. The use has been made of Galerkin's spectral method and a treatment introduced by \textit{R. Dal Passo} and \textit{M. Ughi} for problems where a time-dependent spatial domain plays a role [in John M. Chadam (ed.) et al., Free boundary problems in fluid flow with applications. Harlow, Essex: Longman Scientific \& Technical. Pitman Res. Notes Math. Ser. 282, 144-150 (1993; Zbl 0795.76081)].
- University of Pisa Italy
Galerkin's spectral method, Spectral methods applied to problems in fluid mechanics, finite electrical conductivity, existence, uniqueness, hydrostatic pressure, Magnetohydrodynamics and electrohydrodynamics, Other PDE from mechanics, incompressible magnetohydrodynamic fluid
Galerkin's spectral method, Spectral methods applied to problems in fluid mechanics, finite electrical conductivity, existence, uniqueness, hydrostatic pressure, Magnetohydrodynamics and electrohydrodynamics, Other PDE from mechanics, incompressible magnetohydrodynamic fluid
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