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http://hdl.handle.net/2080/1104
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DC Field | Value | Language |
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dc.contributor.author | Raja Sekhar, T | - |
dc.contributor.author | Sharma, V D | - |
dc.date.accessioned | 2009-12-15T03:48:44Z | - |
dc.date.available | 2009-12-15T03:48:44Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Studies in Applied Mathematics, Vol 121, Iss 1, P 1 - 25 | en |
dc.identifier.uri | http://dx.doi.org/10.1111/j.1467-9590.2008.00402.x | - |
dc.identifier.uri | http://hdl.handle.net/2080/1104 | - |
dc.description | Copyright for the published version belongs to Wiley | en |
dc.description.abstract | In this paper, we consider the Riemann problem and interaction of elementary waves for a nonlinear hyperbolic system of conservation laws that arises in shallow water theory. This class of equations includes as a special case the equations of classical shallow water equations. We study the bore and dilatation waves and their properties, and show the existence and uniqueness of the solution to the Riemann problem. Towards the end, we discuss numerical results for different initial data along with all possible interactions of elementary waves. It is noticed that in contrast to the p-system, the Riemann problem is solvable for arbitrary initial data, and its solution does not contain vacuum state. | en |
dc.format.extent | 469407 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Wiley | en |
dc.title | Interaction of Shallow Water Waves | en |
dc.type | Article | en |
Appears in Collections: | Journal Articles |
Files in This Item:
File | Description | Size | Format | |
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shallowroot-TRS.pdf | 458.41 kB | Adobe PDF | View/Open |
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