Twodimensional Riemann problem for a single conservation law
Authors:
Tong Zhang and Yu Xi Zheng
Journal:
Trans. Amer. Math. Soc. 312 (1989), 589619
MSC:
Primary 35L65; Secondary 35L67
MathSciNet review:
930070
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Abstract: The entropy solutions to the partial differential equation with initial data constant in each quadrant of the plane, have been constructed and are piecewise smooth under the condition . This problem generalizes to several space dimensions the important Riemann problem for equations in onespace dimension. Although existence and uniqueness of solutions are well known, little is known about the qualitative behavior of solutions. It is this with which we are concerned here.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029947198909300703
PII:
S 00029947(1989)09300703
Article copyright:
© Copyright 1989
American Mathematical Society
