»ã±¨±êÌâ (Title)£ºFree Boundary problems for the cylindrical symmetric compressible fluids
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»ã±¨ÈË (Speaker)£ºÂóÀËÕ ½ÌÊÚ£¨ÄÚÃɹŴóѧ£©
»ã±¨¹¦·ò (Time)£º2025Äê11ÔÂ21ÈÕ£¨ÖÜÎ壩10:00
»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒé 854875539
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»ã±¨ÌáÒª£º In this talk, we will discuss the local well-posedness of smooth solutions to the free boundary problem for relativistic and nonrelativistic compressible fluids in vacuum. This includes the relativistic Euler equations, as well as the classical and time-dependent compressible Euler equations with damping. We will also present key ideas for establishing the well-posedness of global smooth solutions under small perturbations around certain affine solutions.