Global Weak Solutions of the Relativistic Vlasov-Klein-Gordon System

Details Global Weak Solutions of the Relativistic Vlasov-Klein-Gordon System Global Weak Solutions of the Relativistic Vlasov-Klein-Gordon System

2002-09-23

arxiv.org/abs/math/0209303v2

Comm. Math. Phys. 238, 367-378 (2003)

Mathematics

Analysis of PDEs

Latex, 11 pages, some typos corrected

Scientific paper

10.1007/s00220-003-0861-1

We consider an ensemble of classical particles coupled to a Klein-Gordon field. For the resulting nonlinear system of partial differential equations, which we call the relativistic Vlasov-Klein-Gordon system, we prove the existence of global weak solutions for initial data satisfying a size restriction. The latter becomes necessary since the energy of the system is indefinite, and only for restricted data a-priori bounds on the solutions can be derived from conservation of energy.

Affiliated with

Also associated with

No associations

Rating

Global Weak Solutions of the Relativistic Vlasov-Klein-Gordon System does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Global Weak Solutions of the Relativistic Vlasov-Klein-Gordon System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global Weak Solutions of the Relativistic Vlasov-Klein-Gordon System will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-577022