Ordinary differential equations, transport theory and Sobolev spaces

Keywords

Mathematics, Sobolev space, Uniqueness, Ordinary differential equation, Mathematical analysis

References

• Global weak solutions of Vlasov‐Maxwell systemsRonald J. DiPerna, Pierre Louis Lions — 1989
• On the Fokker-Planck-Boltzmann equationRonald J. DiPerna, P. L. Lions — 1988
• On the Cauchy problem for Boltzmann equations: global existence and weak stabilityRonald J. DiPerna, Pierre‐Louis Lions — 1989
• Recent Advances in Topological DynamicsAnatole Beck — 1973
• Uniqueness of flow solutions of differential equationsA. Beck — 1973

Cited by

• Global Solutions of Multidimensional Approximate Navier–Stokes Equations of a Viscous GasE. V. Lukina — 2003
• Analyse de modèles en mécanique des fluides compressiblesAmal Fettah — 2012
• Chapter 2 – A Review of Mathematical Topics in Collisional Kinetic TheoryCédric Villani — 2002
• Relaxation cinetique vers les lois de conservation scalaireThomas Migliore — 2006
• Non-unicité du transport par un champ de vecteurs presque BVNicolas Depauw — 2003
• Fluides autour d'obstacles mincesChristophe Lacave — 2008
• The ordinary differential equation with non-Lipschitz vector fieldsGianluca Crippa — 2008
• The Tartar Equation for Homogenization of a Model of the Dynamics of Fine-Dispersion MixturesS. A. Sazhenkov — 2001
• Flots quasi-invariants associés aux champs de vecteur non réguliersHuaiqian Lee — 2011
• EQUATIONS DE TRANSPORT DONT LES VITESSES SONT PARTIELLEMENT BVNicolás Lerner — 2004
• Generalized Navier-Stokes flowsMarc Arnaudon, Ana Bela Cruzeiro — 2012
• TRANSPORT EQUATIONS WITH PARTIALLY BV VELOCITIESNicolás Lerner — 2004
• On viscosity solutions of irregular Hamilton-Jacobi equationsThomas Str�mberg — 2003
• Fluid-Structure Interaction: A Theoretical Point of ViewCéline Grandmont, Yvon Maday — 2000
• Etude théorique et numérique de la déformation d'une interface séparant deux fluides non-miscibles à bas nombre de MachYohan Penel — 2010
• Quelques problèmes relatifs à la dynamique des points vortex dans les équations d'Euler et de Ginzburg-Landau complexeÉvelyne Miot — 2009
• Modélisation et analyse mathématique de problèmes d'interaction fluide-structureMuriel Boulakia — 2004
• Structure of level sets and Sard-type properties of Lipschitz mapsGiovanni Alberti, Stefano Bianchini, Gianluca Crippa — 2013
• Non-Uniqueness and prescribed energy for the continuity equationGianluca Crippa, Nikolay A. Gusev, Stefano Spirito — 2014
• On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrableEduard Feireisl — 2001

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• Existence and uniqueness of the solution of a Sobolev problemN. Ya. Vityuk — 1991