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Riemann problem for rate‐type materials with nonconstant initial conditions.
- Source :
-
Mathematical Methods in the Applied Sciences . Dec2021, Vol. 44 Issue 18, p13866-13880. 15p. - Publication Year :
- 2021
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 44
- Issue :
- 18
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 153606364
- Full Text :
- https://doi.org/10.1002/mma.7663