The goal of this article is to study the asymptotic analysis of an incompressible Herschel-Bulkley fluid in a thin domain with Tresca boundary conditions.The yield stress and the constant viscosity are assumed to vary...The goal of this article is to study the asymptotic analysis of an incompressible Herschel-Bulkley fluid in a thin domain with Tresca boundary conditions.The yield stress and the constant viscosity are assumed to vary with respect to the thin layer parameterε.Firstly,the problem statement and variational formulation are formulated.We then obtained the existence and the uniqueness result of a weak solution and the estimates for the velocity field and the pressure independently of the parameterε.Finally,we give a specific Reynolds equation associated with variational inequalities and prove the uniqueness.展开更多
In this paper we prove first the existence and uniqueness results for the weak solution,to the stationary equations for Bingham fluid in a three dimensional bounded domain with Fourier and Tresca boundary condition;th...In this paper we prove first the existence and uniqueness results for the weak solution,to the stationary equations for Bingham fluid in a three dimensional bounded domain with Fourier and Tresca boundary condition;then we study the asymptotic analysis when one dimension of the fluid domain tend to zero.The strong convergence of the velocity is proved,a specific Reynolds limit equation and the limit of Tresca free boundary conditions are obtained.展开更多
In this paper,a nonlinear boundary value problem in a three dimensional thin domain with Tresca’s friction law is considered.The small change of variable z=x3/εtransforms the initial problem posed in the domainΩεin...In this paper,a nonlinear boundary value problem in a three dimensional thin domain with Tresca’s friction law is considered.The small change of variable z=x3/εtransforms the initial problem posed in the domainΩεinto a new problem posed on a fixed domainΩindependent of the parameterε.As a main result,we obtain some estimates independent of the small parameter.The passage to the limit onε,permits to prove the results concerning the limit of the weak problem and its uniqueness.展开更多
基金The first author is supported by MESRS of Algeria(CNEPRU Project No.C00L03UN190120150002).
文摘The goal of this article is to study the asymptotic analysis of an incompressible Herschel-Bulkley fluid in a thin domain with Tresca boundary conditions.The yield stress and the constant viscosity are assumed to vary with respect to the thin layer parameterε.Firstly,the problem statement and variational formulation are formulated.We then obtained the existence and the uniqueness result of a weak solution and the estimates for the velocity field and the pressure independently of the parameterε.Finally,we give a specific Reynolds equation associated with variational inequalities and prove the uniqueness.
文摘In this paper we prove first the existence and uniqueness results for the weak solution,to the stationary equations for Bingham fluid in a three dimensional bounded domain with Fourier and Tresca boundary condition;then we study the asymptotic analysis when one dimension of the fluid domain tend to zero.The strong convergence of the velocity is proved,a specific Reynolds limit equation and the limit of Tresca free boundary conditions are obtained.
文摘In this paper,a nonlinear boundary value problem in a three dimensional thin domain with Tresca’s friction law is considered.The small change of variable z=x3/εtransforms the initial problem posed in the domainΩεinto a new problem posed on a fixed domainΩindependent of the parameterε.As a main result,we obtain some estimates independent of the small parameter.The passage to the limit onε,permits to prove the results concerning the limit of the weak problem and its uniqueness.
