Uniqueness of solution of a heterogeneous evolution dam problem associated with a compressible fluid flow through a rectangular porous medium

This paper is concerned with the uniqueness of a weak solution of an evolution dam problem arising in a compressible fluid flow through a two-dimensional, rectangular, and heterogeneous porous medium.Our problem is associated with the equation a(x 1 )(ux 2 + χ)x 2 -(u + χ)t = 0.The technique we use is based on a transformation of the weak form of this equation into a similar one that enables us to argue as in [12].

• uniqueness of weak solutions
• compressible flow
• porous media
• rectangular domain
• two-dimensional flow

• Nonlinear Partial Differential Equations
• Differential Equations and Boundary Problems
• Navier-Stokes equation solutions
• uniqueness of weak solutions
• compressible flow
• porous media
• rectangular domain
• two-dimensional flow
• Applied Mathematics
• Mathematics