Viscous Profiles for Traveling Waves of Scalar Balance Laws: The Uniformly Hyperbolic Case
| dc.contributor.author | Harterich, Jorg | |
| dc.date.accessioned | 2019-12-18T16:39:30Z | |
| dc.date.available | 2019-12-18T16:39:30Z | |
| dc.date.issued | 2000-04-25 | |
| dc.description.abstract | We consider a scalar hyperbolic conservation law with a nonlinear source term and viscosity ɛ. For ɛ = 0, there exist in general different types of heteroclinic entropy traveling waves. It is shown that for ɛ positive and sufficiently small the viscous equation possesses similar traveling wave solutions and that the profiles converge in exponentially weighted L1-norms as ɛ ↘ zero. The proof is based on a careful study of the singularly perturbed second-order equation that arises from the traveling wave ansatz. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 22 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Haerterich, J. (2000). Viscous profiles for traveling waves of scalar balance laws: The uniformly hyperbolic case. <i>Electronic Journal of Differential Equations, 2000</i>(30), pp. 1-22. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/9106 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Hyperbolic conservation laws | |
| dc.subject | Source terms | |
| dc.subject | Traveling waves | |
| dc.subject | Viscous profiles | |
| dc.subject | Singular perturbations | |
| dc.title | Viscous Profiles for Traveling Waves of Scalar Balance Laws: The Uniformly Hyperbolic Case | |
| dc.type | Article |