On the Piecewise Smooth Solutions to Non-homogeneous Scalar Conservation Laws
نویسندگان
چکیده
منابع مشابه
On the Piecewise Smooth Solutions to Non-homogeneous Scalar Conservation Laws
We study the structure and smoothness of non-homogeneous convex conservation laws. The question regarding the number of smoothness pieces is addressed. It is shown that under certain conditions on the initial data the entropy solution has only a finite number of discontinuous curves. We also obtain some global estimates on derivatives of the piecewise smooth entropy solution along the generaliz...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2001
ISSN: 0022-0396
DOI: 10.1006/jdeq.2000.3962