Adimurthi, . ; Sundar Ghoshal, Shyam ; D. Veerappa Gowda, G. (2014) Exact controllability of scalar conservation laws with strict convex flux Mathematical Control & Related Fields, 4 (4). pp. 401-449. ISSN 2156-8499
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Official URL: http://doi.org/10.3934/mcrf.2014.4.401
Related URL: http://dx.doi.org/10.3934/mcrf.2014.4.401
Abstract
We consider the scalar conservation law with strict convex flux in one space dimension. In this paper we study the exact controllability of entropy solution by using initial or boundary data control. Some partial results have been obtained in [5],[23]. Here we investigate the precise conditions under which, the exact controllability problem admits a solution. The basic ingredients in the proof of these results are, Lax-Oleinik [15] explicit formula and finer properties of the characteristics curves.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Mathematical Sciences. |
| Keywords: | Hamilton-Jacobi Equation; Controllability.; Scalar Conservation Laws; Characteristics. |
| ID Code: | 119725 |
| Deposited On: | 16 Jun 2021 12:10 |
| Last Modified: | 16 Jun 2021 12:10 |
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