2016/07/11 by Li, Tatsien, Yu, Lei
#35B37 #35L60 #35L65 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.1607.02806
In this paper, we study the local exact boundary controllability of entropy solutions to a class linearly degenerate hyperbolic systems of conservation laws with constant multiplicity. The authors prove the two-sided boundary controllability, one-sided boundary controllability and two-sided controllability with less controls, by applying the strategy used originally for classical solutions with essential modifications. Our constructive method is based on the well-posedness of semi-global solutions constructed by the limit of \e -approximate front tracking solutions to the mixed initial-boundary value problem with general nonlinear boundary conditions and some further properties on both \e -approximate front tracking solutions and entropy solutions.