Global regularity for the 3D MHD system with\nobreakspace {}damping
Tom 145 / 2016
Colloquium Mathematicum 145 (2016), 107-110
MSC: Primary 35Q35; Secondary 35B35, 35B65, 76D03.
DOI: 10.4064/cm6654-9-2015
Opublikowany online: 22 April 2016
Streszczenie
We study the Cauchy problem for the 3D MHD system with damping terms and \delta |\boldsymbol {b}|^{\beta -1}\boldsymbol {b} (\varepsilon ,\delta \gt 0 and \alpha ,\beta \geq 1), and show that the strong solution exists globally for any \alpha ,\beta \gt 3. This improves the previous results significantly.
