Burgers' Equation with Vanishing Hyper-Viscosity
Tadmor, Eitan
Commun. Math. Sci., Tome 2 (2004) no. 2, p. 317-324 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We prove that bounded solutions of the vanishing hyper-viscosity equation, converge to the entropy solution of the corresponding convex conservation law. The hyper-viscosity case lacks the monotonicity which underlines the Krushkov BV theory in the viscous case s = 1. Instead we show how to adapt the Tartar-Murat compensated compactness theory together with a weaker entropy dissipation bound to conclude the convergence of the vanishing hyper-viscosity.
Publié le : 2004-06-14
Classification:  
@article{1109706540,
     author = {Tadmor, Eitan},
     title = {Burgers' Equation with Vanishing Hyper-Viscosity},
     journal = {Commun. Math. Sci.},
     volume = {2},
     number = {2},
     year = {2004},
     pages = { 317-324},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1109706540}
}

Tadmor, Eitan. Burgers' Equation with Vanishing Hyper-Viscosity. Commun. Math. Sci., Tome 2 (2004) no. 2, pp.  317-324. http://gdmltest.u-ga.fr/item/1109706540/