Optimal controllability for scalar conservation laws with convex flux, J. Hyperbolic Differ. Equ, vol.11, issue.3, pp.477-491, 2014. ,
Exact controllability of scalar conservation laws with strict convex flux, Math. Control Relat. Fields, vol.4, issue.4, pp.401-449, 2014. ,
Weak solutions for the exterior Stokes problem in weighted Sobolev spaces, Math. Methods Appl. Sci, vol.23, issue.6, pp.575-600, 2000. ,
Automatic choice of global shape functions in structural analysis, AIAA Journal, vol.16, pp.525-528, 1978. ,
L p -inequalities for scalar Oseen potential, J. Math. Anal. Appl, vol.337, pp.753-770, 2008. ,
Weighted Sobolev spaces for Laplace's equation in R n, J. Math. Pures Appl, vol.73, issue.6, pp.579-606, 1994. ,
Dirichlet and Neumann exterior problems for the n-dimensional Laplace operator : an approach in weighted Sobolev spaces, J. Math. Pures Appl, vol.76, issue.9, pp.1-55, 1997. ,
Stokes problem with several types of boundary conditions in an exterior domain, Electron. J. Differential Equations No, vol.196, pp.28-2013 ,
The stationary Oseen equations in an exterior domain : an approach in weighted Sobolev spaces, J. Differential Equations, vol.256, issue.6, pp.1955-1986, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00985038
Reflection principles and kernels in R n + for the biharmonic and Stokes operators. Solutions in a large class of weighted Sobolev spaces, Adv. Differential Equations, vol.15, pp.3-4, 2010. ,
L p -theory for vector potentials and Sobolev's inequalities for vector fields : application to the Stokes equations with pressure boundary conditions, Math. Models Methods Appl. Sci, vol.23, pp.1-37, 2013. ,
On the attainable set for scalar nonlinear conservation laws with boundary control, SIAM J. Control Optim, vol.36, issue.1, pp.290-312, 1998. ,
Crowd dynamics and conservation laws with nonlocal constraints and capacity drop, Math. Models Methods Appl. Sci, vol.24, pp.13-2685, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00816449
Finite volume schemes for locally constrained conservation laws, Numer. Math, vol.115, issue.4, pp.609-645, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00387806
A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows ,
Resurrection of " second order " models of traffic flow, SIAM J. Appl. Math, vol.60, issue.3, pp.916-938, 2000. ,
ON STATIONARY SOLUTIONS OF THE PROBLEM OF FLOW PAST A BODY OF A VISCOUS INCOMPRESSIBLE FLUID, Mathematics of the USSR-Sbornik, vol.20, issue.1, pp.20-21, 1973. ,
DOI : 10.1070/SM1973v020n01ABEH001823
An 'empirical interpolation' method : application to efficient reduced-basis discretization of partial differential equations, C. R. Math. Acad. Sci. Paris, vol.339, pp.9-667, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00021702
On a paradox of traffic planning, Transp. Sci, vol.39, pp.446-450, 2005. ,
Boundary conditions for the shallow water equations solved by kinetics schemes, Inria report RR, p.4282, 2001. ,
A priori convergence of the greedy algorithm for the parametrized reduced basis method, ESAIM Math. Model. Numer. Anal, vol.46, pp.3-595, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00659314
Disease persistence in epidemiological models : the interplay between vaccination and migration, Math. Biosci, vol.239, pp.1-91, 2012. ,
Computational quantum chemistry : a primer Special volume : Computational chemistry, Handb. Numer. Anal, vol.10, pp.3-270, 2003. ,
Can we outperform the DIIS approach for electronic structure calculation, Int. J. Quantum Chem, vol.79, pp.82-90, 2000. ,
Feasibility and competitiveness of a reduced basis approach for rapid electronic structure calculations in quantum chemistry, High-dimensional partial differential equations in science and engineering of CRM Proc. Lecture Notes, pp.15-47, 2007. ,
Understanding capacity drop for designing pedestrian environments, 6th International Walk21 Conference, 2005. ,
Transport-equilibrium schemes for computing contact discontinuities in traffic flow modeling, Commun. Math. Sci, vol.5, issue.3, pp.533-551, 2007. ,
General constrained conservation laws. Application to pedestrian flow modeling, Netw. Heterog. Media, vol.8, issue.2, pp.433-463, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00713609
A well posed conservation law with a variable unilateral constraint, J. Differential Equations, vol.234, issue.2, pp.654-675, 2007. ,
A macroscopic model for pedestrian flows in panic situations, Current advances in nonlinear analysis and related topics, pp.255-272, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00534888
Pedestrian flows and non-classical shocks, Math. Methods Appl. Sci, vol.28, pp.13-1553, 2005. ,
Existence of nonclassical solutions in a pedestrian flow model, Nonlinear Anal. Real World Appl, vol.10, pp.5-2716, 2009. ,
Théorie du mouvement non-permanent des eaux, avec application aux crues des rivières et à l'introduction des marées dans leur lit, C. R. Math. Acad. Sci. Paris, vol.73, pp.147-154, 1871. ,
Mathematical epidemiology of infectious diseases Model building, analysis and interpretation, Wiley Series in Mathematical and Computational Biology, 2000. ,
On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations, J. Math. Biol, vol.28, pp.4-365, 1990. ,
Finite volume methods, In Handbook of numerical analysis Handb. Numer. Anal, vol.VII, pp.713-1020, 2000. ,
Weighted estimates for the Oseen equations and the Navier- Stokes equations in exterior domains, Theory of the Navier-Stokes equations, pp.11-30, 1998. ,
Numerical solution of the high frequency asymptotic expansion for the scalar wave equation, J. Comput. Phys, vol.120, issue.1, pp.145-155, 1995. ,
A new two-dimensional shallow water model including pressure effects and slow varying bottom topography, M2AN Math. Model. Numer. Anal, vol.38, issue.2, pp.211-234, 2004. ,
The Aw-Rascle traffic model with locally constrained flow, J. Math. Anal. Appl, vol.378, issue.2, pp.634-648, 2011. ,
Derivation of viscous Saint-Venant system for laminar shallow water ; numerical validation, Discrete Contin. Dyn. Syst. Ser. B, vol.1, issue.1, pp.89-102, 2001. ,
A stream-function?vorticity variational formulation for the exterior Stokes problem in weighted Sobolev spaces, Math. Methods Appl. Sci, vol.15, pp.5-345, 1992. ,
Hyperbolic systems of conservation laws, of Mathématiques & Applications (Paris) [Mathematics and Applications]. Ellipses, 1991. ,
Numerical approximation of hyperbolic systems of conservation laws, of Applied Mathematical Sciences, 1996. ,
Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients, Math. Comp, vol.69, pp.231-987, 2000. ,
Uniform persistence in a model for bluetongue dynamics, SIAM J. Math. Anal, vol.46, issue.2, pp.1160-1184, 2014. ,
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations, M2AN Math. Model. Numer. Anal, vol.41, pp.3-575, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00112154
The transmission dynamics of the aetiological agent of scrapie in a sheep flock, Math. Biosci, vol.168, issue.2, pp.117-135, 2000. ,
Simulating dynamical features of escape panic, Nature, vol.407, pp.487-490, 2000. ,
On the vorticity of the Oseen problem in a half plane, Phys. D, vol.237, pp.10-12, 2008. ,
Pedestrian behavior at bottlenecks, Transp. Sci, vol.39, issue.2, pp.147-159, 2005. ,
Evaluation of field-scale and catchment-scale soil erosion models, Catena, vol.37, pp.521-541, 1999. ,
On the existence of force-free magnetic fields with small nonconstant ? in exterior domains, Comm. Math. Phys, vol.211, issue.1, pp.111-136, 2000. ,
On isentropic solutions of first-order quasilinear equations, Mat. Sb, vol.197, issue.5, pp.99-124, 2006. ,
L r -variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains, Indiana Univ. Math. J, vol.58, issue.4, pp.1853-1920, 2009. ,
Estimates of Oseen kernels in weighted L p spaces, J. Math. Soc. Japan, vol.53, issue.1, pp.59-111, 2001. ,
Experimental study of pedestrian counterflow in a corridor, J. Statist. Mech. : Theory and Experiment, pp.10-10001, 2006. ,
Computational chemistry from the perspective of numerical analysis, Acta Numerica, vol.14, pp.363-444, 2005. ,
DOI : 10.1017/S096249290400025X
Résolution numérique du problème du potentiel dans le plan par une méthode variationnelle d'éléments finis, Thèse de 3 e cycle, 1974. ,
On Kinematic Waves. II. A Theory of Traffic Flow on Long Crowded Roads, Proc. Roy. Soc. London Ser. A, vol.229, pp.317-345, 1955. ,
Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems, C. R. Acad. Sci. Paris Sér. I Math, vol.331, issue.2, pp.153-158, 2000. ,
Output bounds for reduced-order approximations of elliptic partial differential equations, Comput. Methods Appl. Mech. Engrg, vol.190, pp.26-27, 2001. ,
A general multipurpose interpolation procedure : the magic points, Commun. Pure Appl. Anal, vol.8, pp.1-383, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00174797
A priori convergence theory for reducedbasis approximations of single-parameter elliptic partial differential equations, Proceedings of the Fifth International Conference on Spectral and High Order Methods (ICOSAHOM-01), pp.437-446, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-00798389
Finite element approximation of quasi-3D shallow water equations, Comput. Methods Appl. Mech. Engrg, vol.174, pp.3-4, 1999. ,
Asymptotic behaviour of the div-curl problem in exterior domains, Adv. Differential Equations, vol.6, issue.11, pp.1347-1376, 2001. ,
Microscopic dynamics of pedestrian evacuation, Physica A, vol.354, pp.606-618, 2005. ,
Identifiability analysis of an epidemiological model in a structured population, J. Math. Anal. Appl, vol.374, issue.1, pp.154-165, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00655939
Reliable real-time solution of parametrized partial differential equations : Reduced basis output bound methods, J. Fluids Engrg, vol.124, pp.1-70, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-00798326
A mathematical and computational framework for reliable real-time solution of parametrized partial differential equations, M2AN Math. Model. Numer. Anal, vol.36, pp.5-747, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-01220802
Taylor expansion of Riesz potentials, Hiroshima Math. J, vol.25, issue.3, pp.595-621, 1995. ,
Dynamical systems and population persistence, Graduate Studies in Mathematics, vol.118, 2011. ,
Experimental evidence of the " Faster is Slower " effect in the evacuation of ants, Safety Sci, vol.50, pp.7-1584, 2012. ,
Singular integrals and differentiability properties of functions, Princeton Mathematical Series, issue.30, 1970. ,
A mathematical model of the dynamics of scrapie in a sheep flock, Math. Biosci, vol.153, issue.2, pp.79-98, 1998. ,
An epidemic model with post-contact prophylaxis of distributed length. I. Thresholds for disease persistence and extinction, J. Biol. Dyn, vol.2, issue.2, pp.221-239, 2008. ,