BV solutions and relaxation limit for a model in viscoelasticity
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 775-795 |
| Journal / Publication | Royal Society of Edinburgh - Proceedings A |
| Volume | 128 |
| Issue number | 4 |
| Publication status | Published - 1998 |
| Externally published | Yes |
Link(s)
Abstract
Global existence of uniformly bounded BV entropy solutions to a 2 × 2 quasilinear system with relaxation, arising in viscoelasticity, is established by using special fractional step versions of Godunov and Glimm schemes for arbitrarily large initial data. Thanks to the uniform estimates obtained, we prove the convergence of solutions to the corresponding equilibrium limit as the relaxation parameter tends to zero.
Citation Format(s)
BV solutions and relaxation limit for a model in viscoelasticity. / Luo, Tao; Natalini, Roberto.
In: Royal Society of Edinburgh - Proceedings A, Vol. 128, No. 4, 1998, p. 775-795.
In: Royal Society of Edinburgh - Proceedings A, Vol. 128, No. 4, 1998, p. 775-795.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
