Title：Magnetic inhibition on the Rayleigh-Taylor instability in non-resistive magnetohydrodynamics
Speaker：Song Jiang（Chinese Academy of Sciences）
Time：16:00-17:00, June2
Location：Tecent Meeting, Tecent Meeting ID: 783 235 963
Abstract：The Rayleigh-Taylor (RT) instability is well known as gravity-driven instability in fluids when a heavy fluid is on top of a light one, and appears in a wide range of applications in science and technology, such as in inertia confinement fusion, Tokamak, supernova explosions. In this talk, mathematical analysis of the magnetic RT instability in incompressible/compressible fluids will be presented, in particular, effects of an (impressed) magnetic field upon the growth of the RT instability will be discussed and analyzed quantitatively. We shall show that a sufficiently strong (impressed) magnetic field can inhibit the RT instability; otherwise, instability will still occur in the sense that solutions do not continuously depend on initial data.
