Nonclassical shock waves of conservation laws: Flux function having two inflection points
We consider the Riemann problem for non-genuinely nonlinear conservation laws where the flux function admits two inflection points. This is a simplification of van der Waals fluid pressure, which can be seen as a function of the specific volume for a specific entropy at which the system lacks the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2006-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/149/abstr.html |
| _version_ | 1818559268755865600 |
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| author | Ho Dac Nghia Mai Duc Thanh |
| author_facet | Ho Dac Nghia Mai Duc Thanh |
| author_sort | Ho Dac Nghia |
| collection | DOAJ |
| description | We consider the Riemann problem for non-genuinely nonlinear conservation laws where the flux function admits two inflection points. This is a simplification of van der Waals fluid pressure, which can be seen as a function of the specific volume for a specific entropy at which the system lacks the non-genuine nonlinearity. Corresponding to each inflection point, A nonclassical Riemann solver can be uniquely constructed. Furthermore, two kinetic relations can be used to construct nonclassical Riemann solutions. |
| first_indexed | 2024-12-14T00:23:12Z |
| format | Article |
| id | doaj.art-d60e7098066b4f22b54ab0656b8350d4 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-14T00:23:12Z |
| publishDate | 2006-12-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-d60e7098066b4f22b54ab0656b8350d42022-12-21T23:25:09ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-12-012006149117Nonclassical shock waves of conservation laws: Flux function having two inflection pointsHo Dac NghiaMai Duc ThanhWe consider the Riemann problem for non-genuinely nonlinear conservation laws where the flux function admits two inflection points. This is a simplification of van der Waals fluid pressure, which can be seen as a function of the specific volume for a specific entropy at which the system lacks the non-genuine nonlinearity. Corresponding to each inflection point, A nonclassical Riemann solver can be uniquely constructed. Furthermore, two kinetic relations can be used to construct nonclassical Riemann solutions.http://ejde.math.txstate.edu/Volumes/2006/149/abstr.htmlConservation lawnon-genuine nonlinearitynonclassical solutionkinetic relation. |
| spellingShingle | Ho Dac Nghia Mai Duc Thanh Nonclassical shock waves of conservation laws: Flux function having two inflection points Electronic Journal of Differential Equations Conservation law non-genuine nonlinearity nonclassical solution kinetic relation. |
| title | Nonclassical shock waves of conservation laws: Flux function having two inflection points |
| title_full | Nonclassical shock waves of conservation laws: Flux function having two inflection points |
| title_fullStr | Nonclassical shock waves of conservation laws: Flux function having two inflection points |
| title_full_unstemmed | Nonclassical shock waves of conservation laws: Flux function having two inflection points |
| title_short | Nonclassical shock waves of conservation laws: Flux function having two inflection points |
| title_sort | nonclassical shock waves of conservation laws flux function having two inflection points |
| topic | Conservation law non-genuine nonlinearity nonclassical solution kinetic relation. |
| url | http://ejde.math.txstate.edu/Volumes/2006/149/abstr.html |
| work_keys_str_mv | AT hodacnghia nonclassicalshockwavesofconservationlawsfluxfunctionhavingtwoinflectionpoints AT maiducthanh nonclassicalshockwavesofconservationlawsfluxfunctionhavingtwoinflectionpoints |