[1] Castella F. Propagation of space moments in the Vlasov-Poisson equation and further results. Ann Inst H Poincaré Anal Non Linéaire, 1999, 16(4):503-533
[2] Chen J, Zhang X W, Gao R. Existence, uniqueness and asymptotic behavior for the Vlasov-Poisson system with radiation damping. Acta Math Sin, 2017, 33(5):635-656
[3] Chen Z L, Li X T. Asymptotic growth of support and uniform decay of moments for the Vlasov-Poisson system. SIAM J Math Anal, 2018, 50(4):4180-4202
[4] Chen Z L, Zhang X W. Sub-linear estimate of large velocities in a collisionless plasma. Commun Math Sci, 2014, 12(2):279-291
[5] Chen Z L, Zhang X W. Global existence to the Vlasov-Poisson system and propagation of moments without assumption of finite kinetic energy. Comm Math Phys, 2016, 343(3):851-879
[6] Gasser I, Jabin P E, Perthame B. Regularity and propagation of moments in some nonlinear Vlasov systems. Proc Roy Soc Edinburgh Sect A, 2000, 130(6):1259-1273
[7] Glassey R T. The Cauchy Problem in Kinetic Theory. Philadelphia:Society for Industrial and Applied Mathematics, 1996
[8] Glassey R, Pankavich S, Schaeffer J. Decay in time for a one-dimensional two-component plasma. Math Methods Appl Sci, 2008, 31(18):2115-2132
[9] Horst E. On the asymptotic growth of the solutions of the Vlasov-Poisson system. Math Methods Appl Sci, 1993, 16(2):75-86
[10] Illner R, Rein G. Time decay of the solutions of the Vlasov-Poisson system in the plasma physical case. Math Methods Appl Sci, 1996, 19(17):1409-1413
[11] Kunze M, Rendall A D. Simplified models of electromagnetic and gravitational radiation damping. Classical Quantum Gravity, 2001, 18(17):3573-3587
[12] Kunze M, Rendall A D. The Vlasov-Poisson system with radiation damping. Ann Henri Poincaré, 2001, 2(5):857-886
[13] Lions P L, Perthame B. Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system. Invent Math, 1991, 105(2):415-430
[14] Pallard C. A note on the growth of velocities in a collisionless plasma. Math Methods Appl Sci, 2011, 34(7):803-806
[15] Pallard C. Growth estimates and uniform decay for a collisionless plasma. Kinet Relat Models, 2011, 4(2):549-567
[16] Pallard C. Large velocities in a collisionless plasma. J Differential Equations, 2012, 252(3):2864-2876
[17] Pallard C. Moment propagation for weak solutions to the Vlasov-Poisson system. Comm Partial Differential Equations, 2012, 37(7):1273-1285
[18] Pallard C. Space moments of the Vlasov-Poisson system:propagation and regularity. SIAM J Math Anal, 2014, 46(3):1754-1770
[19] Perthame B. Time decay, propagation of low moments and dispersive effects for kinetic equations. Comm Partial Differential Equations, 1996, 21(3/4):659-686
[20] Pfaffelmoser K. Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data. J Differential Equations, 1992, 95(2):281-303
[21] Rein G. Growth estimates for the solutions of the Vlasov-Poisson system in the plasma physics case. Math Nachr, 1998, 191(1):269-278
[22] Rein G. Collisionless kinetic equation from astrophysics-the Vlasov-Poisson system//Handbook of Differential Equations:Evolutionary Equations. Amsterdam:Elsevier, 2007, 3(383):385-476
[23] Schaeffer J. Asymptotic growth bounds for the Vlasov-Poisson system. Math Methods Appl Sci, 2011, 34(3):262-277
[24] Schaeffer J. On space time estimates for the Vlasov-Poisson system. Math Meth Appl Sci, 2020, 43(7):4075-4085
[25] Xiao M X, Zhang X W. On global solutions to the Vlasov-Poisson system with radiation damping. Kinet Relat Models, 2018, 11(5):1183-1209
[26] Xiao M X, Zhang X W. Moment propagation of the Vlasov-Poisson system with a radiation term. Acta Appl Math, 2019, 160:185-206 |