Numerical Problems in Plane Geometry

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Bounds on dissipation in MHD problems in plane shear geometry

The total dissipation rate for magnetohydrodynamic (MHD) flows in plane geometry with both velocity and magnetic shear is studied. For some boundary conditions it is shown that the lower bound on the dissipation rate is achieved by the equivalent of Stokes flow for MHD. Using the ‘background method’ (Doering & Constantin, Phys. Rev. Lett. 69, 1648–1651 (1992)) upper bounds for the dissipation r...

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Bounds on dissipation in magnetohydrodynamic problems in plane shear geometry

The total dissipation rate for magnetohydrodynamic ~MHD! flows in plane geometry with both velocity and magnetic shear is studied. For some boundary conditions it is shown that the lower bound on the dissipation rate is achieved by the equivalent of Stokes flow for MHD. Using the background method @Doering and Constantin, Phys. Rev. Lett. 69, 1648 ~1992!# upper bounds for the dissipation rate a...

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ژورنال

عنوان ژورنال: Science

سال: 1897

ISSN: 0036-8075,1095-9203

DOI: 10.1126/science.6.156.959