Continuity in Time of Weak Solutions for the Nonlinear Evolution Dam Problem Associated With a Compressible Fluid Flow

In this work, we consider the weak formulation of the evolution dam problem related to a compressible fluid flow governed by a nonlinear Darcy’s law. We prove the continuity in time of weak solutions for this problem which represents an extension of the regularity result obtained in the heterogeneous case [13].

• weak solutions
• compressible flow
• variational formulation
• regularity of solutions
• heterogeneous media

• Nonlinear Partial Differential Equations
• Navier-Stokes equation solutions
• Advanced Numerical Methods in Computational Mathematics
• weak solutions
• compressible flow
• variational formulation
• regularity of solutions
• heterogeneous media
• Applied Mathematics
• Computational Mechanics
• Mathematics
• Engineering