Riemann problem for rate-type materials with nonconstant initial conditions

Radha, R.R.RadhaSharma, Vishnu DuttVishnu DuttSharmaKumar, AkshayAkshayKumar2025-08-312025-08-312021-12-0110.1002/mma.76632-s2.0-85111538912https://d8.irins.org/handle/IITG2025/25188In 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.falseHyperbolic systems | Rarefaction waves | Riemann problem | Shock wavesRiemann problem for rate-type materials with nonconstant initial conditionsArticle1099147613866-13880December 20213arJournal3WOS:000678985100001