Abstract
There are many papers devoted to the study of shallow water flows especially by numerical methods. In this note, we give a mathematical analysis, based on the theory of semigroups of operators on Hilbert space, of two linearized problems involving the Saint-Venant equations governing shallow water flows. The first one concerns the classical linearized Saint-Venant problem, while the second one deals with the water quality problem: the evolution of a concentration of products in a flow solution of the first problem.
Citation
Tran Thu u Ha. C. Licht. Quoc Phong Vu. "On some linearized problems of shallow water flows." Differential Integral Equations 22 (3/4) 275 - 283, March/April 2009. https://doi.org/10.57262/die/1356019774
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