TY - JOUR
T1 - BV solutions and relaxation limit for a model in viscoelasticity
AU - Luo, Tao
AU - Natalini, Roberto
PY - 1998
Y1 - 1998
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0001016446&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0001016446&origin=recordpage
U2 - 10.1017/S0308210500021776
DO - 10.1017/S0308210500021776
M3 - RGC 21 - Publication in refereed journal
SN - 0308-2105
VL - 128
SP - 775
EP - 795
JO - Royal Society of Edinburgh - Proceedings A
JF - Royal Society of Edinburgh - Proceedings A
IS - 4
ER -