ADIMURTHI, . ; GHOSHAL, SHYAM SUNDAR ; VEERAPPA GOWDA, G. D. (2012) Structure of entropy solutions to scalar conservation laws with strictly convex flux Journal of Hyperbolic Differential Equations, 09 (04). pp. 571-611. ISSN 0219-8916
Full text not available from this repository.
Official URL: http://doi.org/10.1142/S0219891612500191
Related URL: http://dx.doi.org/10.1142/S0219891612500191
Abstract
We consider scalar conservation laws in one space dimension with convex flux and we establish a new structure theorem for entropy solutions by identifying certain shock regions of interest, each of them representing a single shock wave at infinity. Using this theorem, we construct a smooth initial data with compact support for which the solution exhibits infinitely many shock waves asymptotically in time. Our proof relies on Lax–Oleinik explicit formula and the notion of generalized characteristics introduced by Dafermos.
Item Type: | Article |
---|---|
Source: | Copyright of this article belongs to World Scientific Publishing Co Pte Ltd. |
Keywords: | Hamilton-Jacobi Equation; Scalar Conservation Laws; Characteristic Lines; Asymptotically Single Shock Packet. |
ID Code: | 119727 |
Deposited On: | 16 Jun 2021 12:17 |
Last Modified: | 16 Jun 2021 12:17 |
Repository Staff Only: item control page