| dc.contributor.author |
Radha, R. |
|
| dc.contributor.author |
Sharma, Vishnu Dutt |
|
| dc.contributor.author |
Kumar, Akshay |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2012-09-29T14:45:09Z |
|
| dc.date.available |
2012-09-29T14:45:09Z |
|
| dc.date.issued |
2021-07 |
|
| dc.identifier.citation |
Radha, R.; Sharma, Vishnu Dutt and Kumar, Akshay, "Riemann problem for rate-type materials with nonconstant initial conditions", Mathematical Methods in the Applied Sciences, DOI: 10.1002/mma.7663, Jul. 2021. |
en_US |
| dc.identifier.issn |
0170-4214 |
|
| dc.identifier.issn |
1099-1476 |
|
| dc.identifier.uri |
https://doi.org/10.1002/mma.7663 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/6784 |
|
| dc.description.abstract |
In this paper, using the compatible theory of differential invariants, a class of exact solutions is obtained for nonhomogeneous quasilinear hyperbolic system of partial differential equations (PDEs) describing rate type materials; these solutions exhibit genuine nonlinearity that leads to the formation of discontinuities such as shocks and rarefaction waves. For certain nonconstant and smooth initial data, the solution to the Riemann problem is presented providing a complete characterization of the solutions. |
|
| dc.description.statementofresponsibility |
by R. Radha, Vishnu Dutt Sharma and Akshay Kumar |
|
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
Wiley |
en_US |
| dc.title |
Riemann problem for rate-type materials with nonconstant initial conditions |
en_US |
| dc.type |
Article |
en_US |
| dc.relation.journal |
Mathematical Methods in the Applied Sciences |
|