Decay of Positive Waves of Hyperbolic Balance Laws
Ημερομηνία
2012Source
Acta Mathematica ScientiaVolume
32Issue
1Pages
352-366Google Scholar check
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Εμφάνιση πλήρους εγγραφήςΕπιτομή
Historically, decay rates have been used to provide quantitative and qualitative information on the solutions to hyperbolic conservation laws. Quantitative results include the establishment of convergence rates for approximating procedures and numerical schemes. Qualitative results include the establishment of results on uniqueness and regularity as well as the ability to visualize the waves and their evolution in time. This work presents two decay estimates on the positive waves for systems of hyperbolic and genuinely nonlinear balance laws satisfying a dissipative mechanism. The result is obtained by employing the continuity of Glimm-type functionals and the method of generalized characteristics [7, 17, 24]. © 2012 Wuhan Institute of Physics and Mathematics.