Existence and weak stability for a pressureless model with unilateral constraint, Math. Models Methods Appl. Sci, vol.12, issue.2, pp.249-272, 2002. ,
A model for the formation and evolution of traffic jams, Arch. Ration. Mech. Anal, vol.187, issue.2, pp.188-220, 2008. ,
Singular limit of a Navier-Stokes system leading to a free/congested zones two-phase model, C. R. Math. Acad. Sci. Paris, vol.352, issue.9, pp.685-690, 2014. ,
Emergent behavior in flocks, IEEE Trans. Automat. Control, vol.52, issue.5, pp.852-862, 2007. ,
, Global existence in critical spaces for compressible Navier-Stokes equations, Inventiones Mathematicae, vol.141, pp.579-614, 2000.
A Lagrangian approach for the compressible Navier-Stokes equations, Annales de lInstitut Fourier, vol.64, issue.2, pp.753-791, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00664343
, A well-posedness result for viscous compressible fluids with only bounded density, vol.13, pp.275-316, 2020.
URL : https://hal.archives-ouvertes.fr/hal-01778175
, Compressible Navier-Stokes system : large solutions and incompressible limit, vol.320, pp.904-925, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01292106
The incompressible Navier-Stokes equations in vacuum, Communications on Pure and Applied Mathematics, vol.52, pp.1351-1385, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01523740
From compressible to incompressible inhomogeneous flows in the case of large data, Tunisian Journal of Mathematics, vol.1, issue.1, pp.127-149, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01622159
, Compressible Navier-Stokes equations with ripped density, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02075922
Regular solutions to the fractional Euler alignment system in the Besov spaces framework, Math. Models Methods Appl. Sci, vol.29, issue.1, pp.89-119, 2019. ,
The General Theory of Relativity: A Mathematical Exposition, 2012. ,
Lions: Ordinary differential equations, transport theory and Sobolev spaces, Inventiones Mathematicae, vol.98, pp.511-547, 1989. ,
Global regularity for the fractional Euler alignment system, Arch. Ration. Mech. Anal, vol.228, pp.1-37, 2018. ,
, Dynamics of Viscous Compressible Fluids, vol.26, 2004.
Time-periodic solutions to the full Navier-Stokes-Fourier system, Arch. Ration. Mech. Anal, vol.204, issue.3, pp.745-786, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01284064
, Classical and Modern Fourier Analysis, 2006.
Traffic flow with unobservant drivers, ZAMM Z. Angew. Math. Mech, vol.91, issue.10, pp.763-776, 2011. ,
Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data, J. Differential Equations, vol.120, issue.1, pp.215-254, 1995. ,
Uniqueness of weak solutions of the Navier-Stokes equations of multidimensional, compressible flow, SIAM J. Math. Anal, vol.37, issue.6, pp.1742-1760, 2006. ,
, Compressible Models, vol.II, 1998.
Linear and quasilinear equations of parabolic type, Translations of Mathematical Monographs, vol.23, 1967. ,
Initial boundary value problem for equations of motion of compressible viscous and heat conductive fluids, Commun. Math. Phys, vol.89, pp.445-464, 1983. ,
, Singular Cucker-Smale dynamics. Active particles, vol.2, pp.201-243, 2019.
A new model for self-organized dynamics and its flocking behavior, J. Stat. Phys, vol.144, pp.923-947, 2011. ,
The Cauchy problem for the compressible Navier-Stokes equations in the L p -framework, Nonlinear Anal, vol.52, issue.4, pp.1379-1392, 2003. ,
A survey of multi-agent formation control, Automatica, vol.53, pp.424-440, 2015. ,
Hydrodynamic limits of the Boltzmann equation, Lecture Notes in Mathematics, 1971. ,
Eulerian dynamics with a commutator forcing, Trans. Math. Appl, vol.1, issue.1, p.pp, 2017. ,
Critical thresholds in flocking hydrodynamics with non-local alignment, Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci, vol.372, p.pp, 2014. ,
E-mail address: raphael.danchin@u-pec.fr (P.B. Mucha) Instytut Matematyki Stosowanej i Mechaniki, Interpolation theory, function spaces, differential operators, vol.18, pp.2-097, 1978. ,