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Weak solutions for a hyperbolic system with unilateral constraint and mass loss

โœ Scribed by F Berthelin; F Bouchut

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
178 KB
Volume
20
Category
Article
ISSN
0294-1449

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โœฆ Synopsis

We consider isentropic gas dynamics equations with unilateral constraint on the density and mass loss. The ฮณ and pressureless pressure laws are considered. We propose an entropy weak formulation of the system that incorporates the constraint and Lagrange multiplier, for which we prove weak stability and existence of solutions. The nonzero pressure model is approximated by a kinetic BGK relaxation model, while the pressureless model is approximated by a sticky-blocks dynamics with mass loss.

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โœ Fuqin Sun; Mingxin Wang ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 224 KB

In this paper, we study a nonlinear hyperbolic system with strong damping. Firstly, by use of the successive approximation method and a series of classical estimates, we prove the local existence and uniqueness of weak solution. Secondly, via some inequalities, applying the potential method and the