Exact controllability of scalar conservation law with strict convex flux, 2014. ,
Optimal controllability for scalar conservation laws with strict convex flux. preprint, 2011. ,
Transport equation and Cauchy problem for BV vector fields and applications, Journ??es ??quations aux d??riv??es partielles, vol.158, issue.2, pp.227-260, 2004. ,
DOI : 10.5802/jedp.1
Well-Posedness for a Class of Hyperbolic Systems of Conservation Laws in Several Space Dimensions, Communications in Partial Differential Equations, vol.160, issue.9-10, pp.9-101635, 2004. ,
DOI : 10.1081/PDE-200040210
Some New Well-Posedness Results for Continuity and Transport Equations, and Applications to the Chromatography System, SIAM Journal on Mathematical Analysis, vol.41, issue.5, pp.1890-1920, 2009. ,
DOI : 10.1137/090754686
URL : https://hal.archives-ouvertes.fr/hal-00838830
Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions, Int. Math. Res. Not, issue.41, pp.2205-2220, 2003. ,
On the Attainable Set for Scalar Nonlinear Conservation Laws with Boundary Control, SIAM Journal on Control and Optimization, vol.36, issue.1, pp.290-312, 1998. ,
DOI : 10.1137/S0363012996304407
Équations de transport unidimensionnelles à coefficients discontinus, C. R. Acad. Sci. Paris Sér. I Math, vol.320, issue.9, pp.1097-1102, 1995. ,
One-dimensional transport equations with discontinuous coefficients, Nonlinear Analysis: Theory, Methods & Applications, vol.32, issue.7, pp.891-933, 1998. ,
DOI : 10.1016/S0362-546X(97)00536-1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.1728
Hyperbolic systems of conservation laws The one-dimensional Cauchy problem, of Oxford Lecture Series in Mathematics and its Applications, 2000. ,
Global asymptotic stabilization for controllable systems without drift, Mathematics of Control, Signals, and Systems, vol.2, issue.3, pp.295-312, 1992. ,
DOI : 10.1007/BF01211563
An overview on some results concerning the transport equation and its applications to conservation laws, Communications on Pure and Applied Analysis, vol.9, issue.5, pp.1283-1293, 2010. ,
DOI : 10.3934/cpaa.2010.9.1283
Hyperbolic conservation laws in continuum physics, 2010. ,
Notes on hyperbolic systems of conservation laws and transport equations In Handbook of differential equations: evolutionary equations, Handb. Differ. Equ, vol.III, pp.277-382, 2007. ,
Ordinary differential equations, transport theory and Sobolev spaces, Inventiones Mathematicae, vol.307, issue.3, pp.511-547, 1989. ,
DOI : 10.1007/BF01393835
Numerical Solution of the High Frequency Asymptotic Expansion for the Scalar Wave Equation, Journal of Computational Physics, vol.120, issue.1, pp.145-155, 1995. ,
DOI : 10.1006/jcph.1995.1154
On the Cauchy Problem for a Class of Hyperbolic Systems of Conservation Laws, Journal of Differential Equations, vol.112, issue.1, pp.170-178, 1994. ,
DOI : 10.1006/jdeq.1994.1099
ASYMPTOTIC STABILITY OF NON-PLANAR RIEMANN SOLUTIONS FOR MULTI-D SYSTEMS OF CONSERVATION LAWS WITH SYMMETRIC NONLINEARITIES, Journal of Hyperbolic Differential Equations, vol.01, issue.03, pp.567-579, 2004. ,
DOI : 10.1142/S0219891604000238
On the Uniform Controllability of the Burgers Equation, SIAM Journal on Control and Optimization, vol.46, issue.4, pp.1211-1238, 2007. ,
DOI : 10.1137/060664677
URL : https://hal.archives-ouvertes.fr/hal-00660830
Numerical approximation of hyperbolic systems of conservation laws, Applied Mathematical Sciences, vol.118, 1996. ,
DOI : 10.1007/978-1-4612-0713-9
Numerical approximations of one-dimensional linear conservation
equations with discontinuous coefficients, Mathematics of Computation, vol.69, issue.231, pp.987-1015, 2000. ,
DOI : 10.1090/S0025-5718-00-01185-6
URL : https://hal.archives-ouvertes.fr/hal-00419729
Remarks on global controllability for the Burgers equation with two control forces, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.24, issue.6, pp.897-906, 2007. ,
DOI : 10.1016/j.anihpc.2006.06.010
URL : https://hal.archives-ouvertes.fr/hal-00113443
On the controllability of the Burger equation, ESAIM: Control, Optimisation and Calculus of Variations, vol.3, pp.83-95, 1998. ,
DOI : 10.1051/cocv:1998103
A system of non-strictly hyperbolic conservation laws arising in elasticity theory, Archive for Rational Mechanics and Analysis, vol.32, issue.3, pp.219-24180, 1979. ,
DOI : 10.1007/BF00281590
Isentropic solutions of quasilinear equations of the first order, Sbornik: Mathematics, vol.197, issue.5, pp.99-124, 2006. ,
DOI : 10.1070/SM2006v197n05ABEH003776
Uniform Controllability of Scalar Conservation Laws in the Vanishing Viscosity Limit, SIAM Journal on Control and Optimization, vol.50, issue.3, pp.1661-1699, 2012. ,
DOI : 10.1137/100803043
Finite volume methods for hyperbolic problems. Cambridge Texts in Applied Mathematics, 2002. ,
On the theory of entropy solutions of the Cauchy problem for a class of nonstrictly hyperbolic systems of conservation laws, Mat. Sb, vol.191, issue.1, pp.127-157, 2000. ,
Generalized solutions of the Cauchy problem for a transport equation with discontinuous coefficients In Instability in models connected with fluid flows. II, Int. Math. Ser, vol.7, pp.23-84, 2008. ,
Systems of conservation laws. I, 1999. ,
URL : https://hal.archives-ouvertes.fr/ensl-01402415
Shock waves and reaction-diffusion equations, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, vol.258, 1994. ,