Smooth and discontinuous junctions in the p-system
نویسندگان
چکیده
منابع مشابه
Smooth and Discontinuous Junctions in the p-System
Consider the p–system describing the subsonic flow of a fluid in a pipe with section a = a(x). We prove that the resulting Cauchy problem generates a Lipschitz semigroup, provided the total variation of the initial datum and the oscillation of a are small. An explicit estimate on the bound of the total variation of a is provided, showing that at lower fluid speeds, higher total variations of a ...
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Consider the p-system describing the subsonic flow of a fluid in a pipe with section a = a(x). We analyze the mathematical problem related to a junction, i.e., a sharp discontinuity in the pipe’s geometry, we consider the case of a picewise constant pipe’s section and then, the smooth case. In particular, through a limit procedure, we prove the well posedness of the smooth case from the discont...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2010
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2009.07.022