Global existence and blowup of solutions to a free boundary problem for mutualistic model SCIENCE CHINA Mathematics 53, 2085 (2010); On the global existence and uniqueness of solutions to the nonstationary boundary Science in China Series A-Mathematics 49, 932 (2006); Existence and uniqueness of global strong solutions to the Navier-Stokes-Maxwell system with large initial data and vacuum SCIENTIA SINICA Mathematica 46, 945 (2016); Existence of strong solutions in critical spaces for barotropic

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... viscous fluids in larger spaces SCIENCE CHINA Mathematics 55, 309 (2012); Abstract In this paper, we consider an initial boundary value problem to screw pinch, which is one of important models in modern study of plasma. By virtue of delicate global priori estimates, we prove the global existence of strong solutions for screw pinch with cylindrically symmetric initial data. The initial data may be large and vacuum. Keywords strong solutions, screw pinch, existence MSC(2010) 35Q35, 35Q60, 76W05