Consider the general scalar balance law in N space dimensions partial derivative(t)u + Div f(t, x, u) = F(t, x, u). Under suitable assumptions on f and F, we provide bounds on the total variation of the solution. Based on this first result, we establish estimates oil the dependence of the solutions from f and F. In the more particular cases considered in the literature, the present estimate reduces to the known ones. To cite this article: R.M. Colombo et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2008 Academie des sciences. Published by Elsevier Masson SAS. All fights reserved.
Stability estimates on general scalar balance laws
Rosini, MD
2009-01-01
Abstract
Consider the general scalar balance law in N space dimensions partial derivative(t)u + Div f(t, x, u) = F(t, x, u). Under suitable assumptions on f and F, we provide bounds on the total variation of the solution. Based on this first result, we establish estimates oil the dependence of the solutions from f and F. In the more particular cases considered in the literature, the present estimate reduces to the known ones. To cite this article: R.M. Colombo et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2008 Academie des sciences. Published by Elsevier Masson SAS. All fights reserved.File in questo prodotto:
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