Sedimentation and thickening. Phenomenological foundation and mathematical theory

By S.P Decent. 2001

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Renormalized entropy solutions of homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic-hyperbolic equations (2012, background): “Degenerate parabolic–hyperbolic equations have been intensively studied in many important applications such as sedimentation–consolidation processes and two phase flows in porous media, see [13, 15,22] and the references cited therein.”
On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients (2003, background): “In [7] (see also [30]), the uniqueness proof of Carrillo was adopted to several initial-boundary value problems arising the theory of sedimentation-consolidation processes [9], which in some cases call for the notion of an entropy boundary condition (see also [8] for the BV approach).”
QUASILINEAR ANISOTROPIC DEGENERATE PARABOLIC EQUATIONS WITH TIME-SPACE DEPENDENT DIFFUSION COEFFICIENTS (2005, background): “Quasilinear parabolic problems containing the combined effects of nonlinear convection, degenerate diffusion, and nonlinear reaction occur in a broad spectrum of applications, including flow in porous media (see the discussion and references in [19]) and sedimentation-consolidation processes [9].”
Upwind difference approximations for degenerate parabolic convection–diffusion equations with a discontinuous coefficient (2002, unknown): “, [8, 14]) and sedimentation-consolidation processes [4, 5].”