Remarks on L decay of solutions for the third-grade non-Newtonian fluid flows inR
نویسندگان
چکیده
*Correspondence: [email protected] School of Mathematical Science, Anhui University, Hefei, 230601, P.R. China Abstract This paper is concerned with the improved L2 decay for solutions of a class of the third-grade non-Newtonian fluid flows in R3. By developing the classic Fourier splitting methods, we prove the non-uniform decay of solutions when u0 ∈ L2(R3) and improve algebraic decay rates of solutions as (1 + t)– 3 2 ( 1 r – 1 2 )– 1 2 when the initial data satisfy some moment condition. The results extend the previous result by Zhao (Nonlinear Anal., Real World Appl. 15:229-238, 2014).
منابع مشابه
Perturbation Solutions for the Study of MHD Blood as a Third Grade Nanofluid Transporting Gold Nanoparticles through a Porous Channel
In this paper, the flow, thermal and concentration analyses of blood as a third grade with gold as nanoparticles through a porous channel are carried out using regular perturbation method. The analysis are carried out using Vogel’s model of temperature-dependent viscosity. The developed models were used to investigate the effects of the nano particles on the concentration, temperature and veloc...
متن کاملNewtonian and Non-Newtonian Blood Flow Simulation after Arterial Stenosis- Steady State and Pulsatile Approaches
Arterial stenosis, for example Atherosclerosis, is one of the most serious forms of arterial disease in the formation of which hemodynamic factors play a significant role. In the present study, a 3-D rigid carotid artery with axisymmetric stenosis with 75% reduction in cross-sectional area is considered. Laminar blood flow is assumed to have both Newtonian and non-Newtonian behavior (generalize...
متن کاملFinite Integral Transform Based Solution of Second Grade Fluid Flow between Two Parallel Plates
The importance of the slip flow over the no-slip condition is widely accepted in microscopic scaled domains with the direct impact on microfluidic and nanofluidic systems. The popular Navier Stoke’s (N-S) flow model is largely utilized with the slip flow phenomenon. In the present study, the finite integral transform scheme along with the shift of variables is implemented to solve the equation ...
متن کاملThe Ritz-Galerkin method for MHD Couette flow of non-Newtonian fluid
In this paper, the Ritz-Galerkin method in Bernstein polynomial basis is applied for solving the nonlinear problem of the magnetohydrodynamic (MHD) flow of third grade fluid between the two plates. The properties of the Bernstein polynomials together with the Ritz-Galerkin method are used to reduce the solution of the MHD Couette flow of non-Newtonian fluid in a porous medium to the solution o...
متن کاملTraveling Waves of Some Symmetric Planar Flows of Non-Newtonian Fluids
We present some variants of Burgers-type equations for incompressible and isothermal planar flow of viscous non-Newtonian fluids based on the Cross, the Carreau and the power-law rheology models, and on a symmetry assumption on the flow. We numerically solve the associated traveling wave equations by using industrial data and in order to validate the models we prove existence and uniqueness of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2017