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Journal articles
REGULAR FLOWS OF WEAKLY COMPRESSIBLE VISCOELASTIC FLUIDS AND THE INCOMPRESSIBLE LIMIT
Abstract : We consider compressible viscoelastic fluids satisfying the Oldroyd constitutive law. We prove the local existence (and uniqueness) of flows by a classical fixed point argument. We also prove some global properties of the solutions. In particular, we obtain some a priori estimates which are uniform in the Mach number and prove global existence of weakly compressible fluids flows. We show that weakly compressible flows with well-prepared initial data converge to incompressible ones when the Mach number converges to zero.
https://hal-upec-upem.archives-ouvertes.fr/hal-00693010
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Submitted on : Tuesday, May 1, 2012 - 7:28:23 PM
Last modification on : Tuesday, October 19, 2021 - 4:07:07 PM
Contributor : Admin Lama Connect in order to contact the contributor
Submitted on : Tuesday, May 1, 2012 - 7:28:23 PM
Last modification on : Tuesday, October 19, 2021 - 4:07:07 PM
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