Article ID Journal Published Year Pages File Type
7222112 Nonlinear Analysis: Real World Applications 2018 16 Pages PDF
Abstract
We consider a hyperbolic system of partial differential equations which is of interest in the context of nonlinear chromatography. Under certain initial and feed conditions, specified in the first part of this contribution, solutions to this system are unbounded. Characteristic properties of the singular shocks, i.e. propagation velocity and strength, are derived by two different approaches, based on Colombeau generalized functions and on box approximations of the unbounded solution, respectively. The derived expressions are found to be consistent for both approaches.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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