Popular Culture

Schaeffer, Franky; Phillipe, Robert; Bonn, Thomas L.; Palmer, R.B.; Waites, Bernard

doi:10.1080/10948008209488616

Search citation statements

Order By: Relevance

Paper Sections

Select...

Global Existence1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1994

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…c,π (S) with S Proof : The proof makes use of the ideas of Schaeffer [13] and some unpublished simplifications of these [14]. Similar estimates have also been used in [7].…”

Section: Global Existencementioning

confidence: 99%

Global existence of classical solutions to the vlasov-poisson system in a three-dimensional, cosmological setting

Rein

Rendall

1994

Arch. Rational Mech. Anal.

View full text Add to dashboard Cite

The initial value problem for the Vlasov-Poisson system is by now well understood in the case of an isolated system where, by definition, the distribution function of the particles as well as the gravitational potential vanish at spatial infinity. Here we start with homogeneous solutions, which have a spatially constant, non-zero mass density and which describe the mass distribution in a Newtonian model of the universe. These homogeneous states can be constructed explicitly, and we consider deviations from such homogeneous states, which then satisfy a modified version of the Vlasov-Poisson system. We prove global existence and uniqueness of classical solutions to the corresponding initial value problem for initial data which represent spatially periodic deviations from homogeneous states.

show abstract

“…c,π (S) with S Proof : The proof makes use of the ideas of Schaeffer [13] and some unpublished simplifications of these [14]. Similar estimates have also been used in [7].…”

Section: Global Existencementioning

confidence: 99%

Global existence of classical solutions to the vlasov-poisson system in a three-dimensional, cosmological setting

Rein

Rendall

1994

Arch. Rational Mech. Anal.

View full text Add to dashboard Cite

show abstract

Popular Culture

Cited by 1 publication

References 0 publications

Global existence of classical solutions to the vlasov-poisson system in a three-dimensional, cosmological setting

Global existence of classical solutions to the vlasov-poisson system in a three-dimensional, cosmological setting

Contact Info

Product

Resources

About