SIAM Journal on Control and Optimization, Vol.50, No.4, 2025-2045, 2012
EXACT CONTROLLABILITY OF SCALAR CONSERVATION LAWS WITH AN ADDITIONAL CONTROL IN THE CONTEXT OF ENTROPY SOLUTIONS
In this paper, we study the exact controllability problem for nonlinear scalar conservation laws on a compact interval with a regular convex flux and in the framework of entropy solutions. With the boundary data and a source term depending only on the time as controls, we provide sufficient conditions for a state to be reachable in arbitrary small time. To do so we introduce a slightly modified wave-front tracking algorithm.