ICAR Research Data Repository for Knowledge Management
Energy dissipated across shocks in weak solutions of conservation laws
DSpace at IIT Bombay
View Archive Info| Field | Value | |
| Title |
Energy dissipated across shocks in weak solutions of conservation laws
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| Creator |
SRINIVASAN, GK
SHARMA, VD |
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| Subject |
mixed nonlinearity
jump conditions systems |
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| Description |
Manipulation of conservation laws through multiplication by mappings of the unknown function result in singular terms that are densities supported on the discontinuity locus. We derive an expression for these singular terms which have been interpreted as the energy dissipated at the shocks. As an application, the expression for these singular terms is obtained from the transport equation governing the propagation of small amplitude high frequency waves in hyperbolic conservation laws. Analogous formulas are obtained for rich systems in several space dimensions.
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| Publisher |
BLACKWELL PUBLISHERS
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| Date |
2011-07-19T02:40:14Z
2011-12-26T12:50:57Z 2011-12-27T05:37:12Z 2011-07-19T02:40:14Z 2011-12-26T12:50:57Z 2011-12-27T05:37:12Z 2004 |
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| Type |
Article
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| Identifier |
STUDIES IN APPLIED MATHEMATICS, 112(3), 281-291
0022-2526 http://dx.doi.org/10.1111/j.0022-2526.2004.01501.x http://dspace.library.iitb.ac.in/xmlui/handle/10054/5149 http://hdl.handle.net/10054/5149 |
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| Language |
en
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