Nonmonotone slip problem for miscible liquids

Abstract

In this paper we prove the existence and uniqueness of a solution to the nonstationary two dimensional system of equations describing miscible liquids with nonsmooth, multivalued and nonmonotone boundary conditions of subdifferential type. We employ the regularized Galerkin method combined with results from the theory of hemivariational inequalities.

17 pages

References in corpus (1)

• Evolution Boussinesq model with nonmonotone friction and heat flux boundary conditions

Cited by in corpus (6)

• Existence and Uniqueness of Solution to Unsteady Darcy-Brinkman Problem with Korteweg Stress for Modelling Miscible Porous Media Flow
• Weak solutions and optimal control of hemivariational evolutionary Navier-Stokes equations under Rauch condition
• Well-posedness and Fingering Patterns in $A+B\to C$ Reactive Porous Media Flow
• Hemivariational inequality for stationary Navier-Stokes equations: existence, dependence and optimal control
• Global Well-Posedness and Numerical Approximation of a Coupled Darcy-Convection-Diffusion System with Exponential Nonlinearity
• Existence and uniqueness of solutions of unsteady Darcy-Brinkman problem for modelling miscible reactive flows in porous media