A convergence result for an iterative method for the equations of a stationary quasi-newtonian flow with temperature dependent viscosity
A finite element approximation of three dimensional motion of a Bingham fluid
A formulation of Stokes's problem and the linear elasticity equations suggested by the Oldroyd model for viscoelastic flow
A Further Note on the Exterior Capillarity Problem.
A mathematical model for resin transfer molding
A model of dense fluids
We obtain coupled reaction-diffusion equations for the density and temperature of a dense fluid, starting from a discrete model in which at most one particle can be present at each site. The model is constructed by the methods of statistical dynamics. We verify that the theory obeys the first and second laws of thermodynamics. Some remarks on measurement theory for the position of a particle are offered.
A new approach for simultaneous shape and topology optimization based on dynamic implicit surface function
A new model to describe the response of a class of seemingly viscoplastic materials
A new model is proposed to mimic the response of a class of seemingly viscoplastic materials. Using the proposed model, the steady, fully developed flow of the fluid is studied in a cylindrical pipe. The semi-inverse approach is applied to obtain an analytical solution for the velocity profile. The model is used to fit the shear-stress data of several supposedly viscoplastic materials reported in the literature. A numerical procedure is developed to solve the governing ODE and the procedure is validated...
A new -scheme algorithm and incompressible FEM for viscoelastic fluid flows
A note on an unsteady flow of an Oldroyd-B fluid.
A Note on Exterior Capillarity Problems.
A note on start-up, plane couette flow involving second-grade fluids.
A note on the flow induced by a constantly accelerating edge in an Oldroyd-B fluid.
A priori and a posteriori error bounds for a nonconforming linear finite element approximation of a non-newtonian flow
A regularity criterion for the 2D MHD and viscoelastic fluid equations
This paper is dedicated to a regularity criterion for the 2D MHD equations and viscoelastic equations. We prove that if the magnetic field B, respectively the local deformation gradient F, satisfies for 1/p + 1/q = 1 and 2 < p ≤ ∞, then the corresponding local solution can be extended beyond time T.
A regularity criterion for the 3D density-dependent incompressible flow of liquid crystals with vacuum
We consider the Cauchy problem for the 3D density-dependent incompressible flow of liquid crystals with vacuum, and provide a regularity criterion in terms of u and ∇d in the Besov spaces of negative order. This improves a recent result of Fan-Li [Comm. Math. Sci. 12 (2014), 1185-1197].
A regularity criterion for the nematic liquid crystal flows.
A Singular Solution of the Capillary Equation. I. Existence.
A Singular Solution of the Capillary Equation. II. Uniqueness.
A survey of some new results in ferromagnetic thin films