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Sharp decay estimates for hyperbolic balance laws |
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| Authors: | Cleopatra Christoforou Konstantina Trivisa |
| Institution: | a Department of Mathematics, University of Houston, Houston, TX 77204-3008, USA b Department of Mathematics and Statistics, University of Cyprus, 1678 Nicosia, Cyprus c Department of Mathematics, University of Maryland, College Park, MD 20742-4015, USA |
| Abstract: | We consider strictly hyperbolic and genuinely nonlinear systems of hyperbolic balance laws in one-space dimension. Sharp decay estimates are derived for the positive waves in an entropy weak solution. The result is obtained by introducing a partial ordering within the family of positive Radon measures, using symmetric rearrangements and a comparison with a solution of Burgers's equation with impulsive sources as well as lower semicontinuity properties of continuous Glimm-type functionals. |
| Keywords: | 35L65 76N10 35B45 |
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