Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow Academic Article

abstract

• A time-dependent model corresponding to an Oldroyd-B viscoelastic fluid is considered, the convective terms being disregarded. Global existence in time is proved in Banach spaces provided the data are small enough, using the implicit function theorem and a maximum regularity property for a three fields Stokes problem. A finite element discretization in space is then proposed. Existence of the numerical solution is proved for small data, so as a priori error estimates, using again an implicit function theorem. 2007 Springer-Verlag.

authors

• Bonito, Andrea

published proceedings

• Numerische Mathematik

author list (cited authors)

• Bonito, A., Clment, P., & Picasso, M.

citation count

• 21

complete list of authors

• Bonito, Andrea||Clément, Philippe||Picasso, Marco

publication date

• August 2007

publisher

• Springer Nature  Publisher

published in

• Numerische Mathematik  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1007/s00211-007-0085-y

start page

• 213

end page

• 255

volume

• 107

issue

• 2

URL

• http://dx.doi.org/10.1007/s00211-007-0085-y