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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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Algorithms for fluid-structure interaction problems arising in hemodynamics
TL;DR: The numerical approximation of fluid-structure interaction (FSI) problems with a particular concern (albeit not exclusive) on hemodynamics applications is discussed, and new semi-implicit algorithms based on inexact block-LU factorization of the linear system obtained after the space-time discretization and linearizing of the FSI problem are proposed.
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On the Navier-Stokes flow down an inclined plane
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Global-in-time Hölder continuity of the velocity gradients for fluids with shear-dependent viscosities
TL;DR: For an evolutionary nonlinear fluid model characterized by the viscosity being a decreasing function of the modulus of the symmetric velocity gradient, this paper established the global-in-time existence of the solution with the Holder continuous velocity gradients.
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Global existence to a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant
TL;DR: In this article, an initial-boundary value problem for the chemotaxis system was solved under homogeneous Neumann boundary conditions in a convex smooth bounded domain with the condition that the diffusion function D(u) satisfying