6533b82cfe1ef96bd128f4c8

RESEARCH PRODUCT

Exact controllability to trajectories for entropy solutions to scalar conservation laws in several space dimensions

Carlotta DonadelloVincent Perrollaz

subject

Conservation law010102 general mathematicsGeneral Medicine01 natural sciencesControllabilityMathematics - Analysis of PDEsOptimization and Control (math.OC)0103 physical sciencesFOS: MathematicsApplied mathematics[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]010307 mathematical physics[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]0101 mathematicsEntropy (arrow of time)Mathematics - Optimization and ControlMathematicsAnalysis of PDEs (math.AP)

description

We describe a new method which allows us to obtain a result of exact controllability to trajectories of multidimensional conservation laws in the context of entropy solutions and under a mere non-degeneracy assumption on the flux and a natural geometric condition.

yearjournalcountryeditionlanguage
2019-02-01
10.1016/j.crma.2019.01.012http://arxiv.org/abs/1903.07430