A Phase-Space Boundary Integration of the Vlasov Equation for Collisionless One-Dimensional Stellar Systems
The evolution of one dimensional (stratified) self-gravitating systems of stars with constant phase-space density (‘water bag’ model) is investigated by following the motion of the boundary curves defining the systems. The results are compared with those obtained by sheet-model computer experiments and good agreement is found. New aspects of the evolution, revealed by the present method, are discussed.
KeywordsBoundary Curve Total Kinetic Energy VLASOV Equation Monthly Notice Reidel Publishing Company
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