We consider an initial-boundary value problem for the continuity equation in a class of non-negative measure-valued solutions. We prove that any solution in the considered class can be represented as a superposition of elementary solutions, associated with the solutions of the corresponding ordinary differential equation.
Superposition principle for the continuity equation in a bounded domain / Bonicatto, P.; Gusev, N. A.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 990:1(2018). [10.1088/1742-6596/990/1/012002]
Superposition principle for the continuity equation in a bounded domain
Bonicatto P.;
2018-01-01
Abstract
We consider an initial-boundary value problem for the continuity equation in a class of non-negative measure-valued solutions. We prove that any solution in the considered class can be represented as a superposition of elementary solutions, associated with the solutions of the corresponding ordinary differential equation.File in questo prodotto:
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