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Journal Articles Nonlinearity Year : 2007

Mild solutions for the one dimensional Nordstrom-Vlasov system

Abstract

The Nordstrom-Vlasov system describes the evolution of a population of self-gravitating collisionless particles. We study the existence and uniqueness of mild solution for the Cauchy problem in one dimension. This approach does not require any derivative for the initial particle density. For any initial particle density uniformly bounded with respect to the space variable by some function with finite kinetic energy and any initial smooth data for the field equation we construct a global solution, preserving the total energy. Moreover the solution propagates with finite speed. The propagation speed coincides with the light speed.
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Dates and versions

hal-00594961 , version 1 (22-05-2011)

Identifiers

  • HAL Id : hal-00594961 , version 1

Cite

Mihai Bostan. Mild solutions for the one dimensional Nordstrom-Vlasov system. Nonlinearity, 2007, 20 (5), pp.1257-1281. ⟨hal-00594961⟩
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