Details

Autor(en) / Beteiligte

• Nowakowski, Bernard
• Zajączkowski, Wojciech M.

Titel

On global regular solutions to magnetohydrodynamics in axi-symmetric domains

Ist Teil von

• Zeitschrift für angewandte Mathematik und Physik, 2016-12, Vol.67 (6), p.1-22, Article 142

Ort / Verlag

Cham: Springer International Publishing

Erscheinungsjahr

2016

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We consider mhd equations in three-dimensional axially symmetric domains under the Navier boundary conditions for both velocity and magnetic fields. We prove the existence of global, regular axi-symmetric solutions and examine their stability in the class of general solutions to the mhd system. As a consequence, we show the existence of global, regular solutions to the mhd system which are close in suitable norms to axi-symmetric solutions.