Control of velocities generated in a two—dimensional collisionless plasma with symmetry

References

• Bardos , C. , DeGond , P. and Ngoan , H-T. 1985 . Existence Globale des solutions des équations de Vlasov-Poisson relativistes en dimension 3 . C. R. Acad. Sci. Paris , t. 301 ( 6 ) : 265 – 268 . Série I
   Google Scholar
• Batt , J. 1977 . Global Symmetric Solutions of the initial–value problem of stellar dynamics . J. Diff. Eqns , 25 : 342 – 364 .
   Web of Science ®Google Scholar
• Degond , P. Dec. 1984 . Local Existence of Solutions of the Vlasov–Maxwell Equations and Convergence to the Vlasov–Poisson Equations for infinite light velocity , Dec. , Paris : Centre de Mathématiques Appliquées, Ecole Polytechnique . Internal Report No. 117
   Google Scholar
• Glassey , R. and Strauss , W. 1986 . Singularity Formation in a Collisionless Plasma Could Occur Only at High Velocities . Arch. Rat. Mech. Anal , 92 : 59 – 90 .
   Web of Science ®Google Scholar
• Glassey , R. and Strauss , W. 1987 . High Velocity Particles in a Collisionless Plasma. . Math. Meth. Appl. Sci , 9 : 46 – 52 .
   Web of Science ®Google Scholar
• Glassey , R. and Strauss , W. 1984 . “ Remarks on Collisionless Plasmas ” . In Contempory Mathematics Vol. 28 , 269 – 279 .
   Google Scholar
• Glassey , R. and Strauss , W. 1987 . Absence of Shocks in an initially dilute collisionless plasma . Comm. Math. Phys , 113 : 191 – 208 .
   Web of Science ®Google Scholar
• Glassey , R. and Schaeffer , J. 1985 . On Symmetric Solutions of the relativisitic Vlasov-Poisson System . Comm. Math. Phys , 101 : 459 – 473 .
   Web of Science ®Google Scholar
• Horst , E. 1981 . On the classical solutions of the initial value problem for the unmodified nonlinear Vlasov-euation, Parts I and II. . Math. Meth. Appl. Sci , 3 : 229 – 248 . and 4(1984, 19–32
   Google Scholar
• Horst , E. Global Solutions of the Relativistic Vlasov-Maxwell System of Plasma Physics Preprint
   Google Scholar
• Neunzert , H. and Petry , K. H. 1980 . Ein Existenzsatz für die Vlasov-Gleichung mit selbstkonsistentem Magnetfeld . Math. Meth. Appl. Sci , 2 : 429 – 444 .
   Google Scholar
• Rammaha , M. 1987 . Global Solutions of the two-dimensional relativistic Vlasov-Poisson System . Transport Theory and Stat. Phys , 16 : 61 – 87 .
   Google Scholar
• Schaeffer , J. 1986 . The Classical Limit of the Relativistic Vlasov-Maxwell System . Comm. Math. Phys , 104 : 403 – 421 .
   Web of Science ®Google Scholar
• Ukai , S. and Okabe , T. 1978 . On Classical solutions in the large in time of two-dimensional Vlasov's Equation . Osaka J. Math , 15 : 245 – 261 .
   Google Scholar
• Weibel , E. 1967 . L'équation de Vlasov dam la thérie spéciale de la relativité . Plasma Phys , 9 : 665 – 670 .
   Google Scholar
• Wollman , S. 1984 . An existence and uniqueness theorem for the Vlasov–Maxwell System . Comm. Pure Appl. Math , 37 : 457 – 462 .
   Google Scholar
• Wollman , S. 1980 . Global-in-time solutions of the two-dimensional Vlasov–Poisson system . Comm. Pure Appl. Math , 33 : 173 – 197 .
   Web of Science ®Google Scholar