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Navier-Stokes Equations
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Schiff's base dichloroacetamides having the formula OR2 PARALLEL HCCl2-C-N ANGLE R1 in which R1 is selected from the group consisting of alkenyl, alkyl, alkynyl and alkoxyalkyl; and R2 is selected by selecting R2 from the groups consisting of lower alkylimino, cyclohexenyl-1 and lower alkynyl substituted cycloenenyl -1 as discussed by the authors.Citations
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Long-Time Asymptotics of a Multiscale Model for Polymeric Fluid Flows
TL;DR: In this article, the long-time behavior of some micro-macro models for polymeric fluids (Hookean model and FENE model) in various settings (shear flow, general bounded domain with homogeneous Dirichlet boundary conditions on the velocity and non-homogeneous Diriclet boundary condition on the velocities) was investigated.
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The Three-Dimensional Navier-Stokes Equations: Classical Theory
TL;DR: A rigorous but accessible introduction to the mathematical theory of the Navier-Stokes equations can be found in this article, which provides self-contained proofs of someof the most significant results in the area.
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Existence and equilibration of global weak solutions to kinetic models for dilute polymers I: finitely extensible nonlinear bead-spring chains
John W. Barrett,Endre Süli +1 more
TL;DR: In this paper, the existence of global-in-time weak solutions to a general class of coupled FENE-type bead-spring chain models that arise from the kinetic theory of dilute solutions of polymeric liquids with noninteracting polymer chains was shown.
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Large time decay and growth for solutions of a viscous Boussinesq system
TL;DR: In this paper, the decay and the growth for large time of weak and strong solutions to the three-dimensional viscous Boussinesq system were analyzed and sharp estimates both from above and from below and explicit asymptotic profiles.