One-dimensional nonlinear chromatography system and delta-shock waves |
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Authors: | Guodong Wang |
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Affiliation: | 1. Department of Mathematics and Physics, Anhui University of Architecture, Hefei, 230601, People’s Republic of China
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Abstract: | The Riemann problem for the nonlinear chromatography system is considered. Existence and admissibility of δ-shock type solution in both variables are established for this system. By the interactions of δ-shock wave with elementary waves, the generalized Riemann problem for this system is presented, the global solutions are constructed, and the large time-asymptotic behavior of the solutions are analyzed. Moreover, by studying the limits of the solutions as perturbed parameter ${varepsilon}$ tends to zero, one can observe that the Riemann solutions are stable for such perturbations of the initial data. |
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