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Entropy boundary and jump conditions in the theory of sedimentation with compression

✍ Scribed by R. Bürger; W. L. Wendland

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
179 KB
Volume
21
Category
Article
ISSN
0170-4214

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✦ Synopsis

Dedicated to Willi To¨rnig on the occasion of his retirement

We present an initial-boundary value problem of a quasilinear degenerate parabolic equation for the settling and consolidation of a flocculated suspension. The corresponding definition of generalized solutions is formulated. It is based on an entropy integral inequality in the sense of Kruz\ kov. From this definition, jump and entropy conditions that have to be satisfied at discontinuities, and an entropy condition valid on one boundary of the computational domain are derived. The latter implies a set-valued reformulation of the original boundary condition. It is interpreted geometrically and characterized by the solution of an auxiliary hyperbolic Riemann problem.

1998 B. G. Teubner Stuttgart-John Wiley & Sons, Ltd.

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