Problem of Second Grade Fluids in Convex Polyhedrons

@article{Bernard2012ProblemOS,
  title={Problem of Second Grade Fluids in Convex Polyhedrons},
  author={Jean-marie Bernard},
  journal={SIAM J. Math. Anal.},
  year={2012},
  volume={44},
  pages={2018-2038}
}
  • J. Bernard
  • Published 7 June 2012
  • Mathematics, Computer Science
  • SIAM J. Math. Anal.
This paper studies the solutions of a three-dimensional grade-two fluid model with a tangential boundary condition in a polyhedron. We begin to split the problem into a system with a generalized Stokes problem and a transport equation, as Girault and Scott have done in the two-dimensional case. But, compared to the two-dimensional problem, we have an additional term that is difficult to bound which requires regularity of the solutions and we have to prove that the solutions of the transport… 
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