scholarly journals Analyticity and Gevrey-Class Regularity for the Second-Grade Fluid Equations

2010 ◽  
Vol 13 (4) ◽  
pp. 533-555 ◽  
Author(s):  
Marius Paicu ◽  
Vlad Vicol
Keyword(s):  
Gevrey Class ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Fluid Equations ◽  
Gevrey Class Regularity ◽  
Grade Fluid

scholarly journals Hm Convergence of the Second-Grade Fluid Equations to Euler Equations in ℝd

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Hui Zhou
Keyword(s):  
Euler Equation ◽  
Euler Equations ◽  
Initial Velocity ◽  
Viscosity Coefficient ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Filter Parameter ◽  
Fluid Equations ◽  
Grade Fluid

In this paper, we investigate an approximation of the Euler equation by the second-grade fluid equations in ℝdd=2,3. The convergence in Hm of a sequence of solutions to the second-grade fluid equations in a uniform interval is proven as both the viscosity coefficient ν and filter parameter α tend to zero with an initial velocity in Hm.

SECOND‐GRADE FLUID FLOW WITH POWER‐LAW HEAT FLUX AND A HEAT SOURCE

2013 ◽  
Vol 44 (8) ◽  
pp. 687-702 ◽  
Author(s):  
Tasawar Hayat ◽  
Sabir A. Shehzad ◽  
Muhammad Qasim ◽  
F. Alsaadi ◽  
Ahmed Alsaedi
Keyword(s):  
Heat Flux ◽  
Fluid Flow ◽  
Heat Source ◽  
Power Law ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
Power Law Heat Flux

scholarly journals A new fourth-order explicit group method in the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Muhammad Asim Khan ◽  
Norhashidah Hj. Mohd Ali ◽  
Nur Nadiah Abd Hamid
Keyword(s):  
Finite Difference ◽  
Stokes Problem ◽  
Stability And Convergence ◽  
Second Grade ◽  
Group Method ◽  
Two Dimensional ◽  
Second Grade Fluid ◽  
The Matrix ◽  
Grade Fluid ◽  
Generalized Second Grade Fluid

Abstract In this article, a new explicit group iterative scheme is developed for the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid. The proposed scheme is based on the high-order compact Crank–Nicolson finite difference method. The resulting scheme consists of three-level finite difference approximations. The stability and convergence of the proposed method are studied using the matrix energy method. Finally, some numerical examples are provided to show the accuracy of the proposed method.

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