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Global existence of weak solutions to the boundary value problem for a three-dimensional viscoelastic dynamic system

โœ Scribed by Oin Tiehu

Publisher
Springer Netherlands
Year
1996
Tongue
English
Weight
519 KB
Volume
42
Category
Article
ISSN
0374-3535

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โœฆ Synopsis

In this paper, we prove the global existence of weak solutions to the boundary value problem of three-dimensional dynamical system for viscoelastic materials of single-integral type, without the assumption that the equilibrium elastic tensor is definitely positive, i.e. phase transitions are admitted for the problem.

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โœ Gerhard Rein; Alan D. Rendall ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Springer ๐ŸŒ English โš– 761 KB

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