New Horizons in Mathematical Physics

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DOI: 10.22606/nhmp.2021.51002

• Zhen Cheng^*
  College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P.R. China

In this paper, we study the initial boundary value problem for a two-phase with a magnetic field in a bounded domain Ω ⊂ R³. We mainly use the energy method to obtain the global existence of the strong solution and the decay estimate, when the initial value reaches the equilibrium state in H²(Ω). At last, we also obtain large time behavior of the solution.

two-phase model; magnetic field; bounded domain; asymptotic behavior; global existence; energy method

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