Lagrangian stability for a system of non-local continuity equations under Osgood condition

DOI10.1090/conm/809/16205MaRDI QIDQ6670006

Giorgio Stefani, Marco Inversi

Publication date: 22 January 2025

zbMATH Keywords

Osgood conditionweak measure solutionsLagrangian stabilitynon-local continuity equation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Linear ordinary differential equations and systems (34A30) Weak solutions to PDEs (35D30) PDEs with measure (35R06)

Cites Work

• Unnamed Item
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• Biological and industrial models motivating nonlocal conservation laws: a review of analytic and numerical results
• Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow
• An analytical framework to describe the interactions between individuals and a continuum
• Two-species particle aggregation and stability of co-dimension one solutions
• The Filippov characteristic flow for the aggregation equation with mildly singular potentials
• Uniqueness of signed measures solving the continuity equation for Osgood vector fields
• Inequalities for differential and integral equations
• Well-posedness for the continuity equation for vector fields with suitable modulus of continuity
• Nonlocal crowd dynamics models for several populations
• Existence, uniqueness and regularity results on nonlocal balance laws
• Sobolev estimates for solutions of the transport equation and ODE flows associated to non-Lipschitz drifts
• On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels
• On traffic flow with nonlocal flux: a relaxation representation
• A unified treatment for ODEs under Osgood and Sobolev type conditions
• Generalized Wasserstein distance and its application to transport equations with source
• Measure-Valued Mass Evolution Problems with Flux Boundary Conditions and Solution-Dependent Velocities
• Measure solutions for non-local interaction PDEs with two species
• Control of the continuity equation with a non local flow
• A Continuum Model for a Re-entrant Factory
• Evolution equations for stratified dilute suspensions
• On a nonlocal dispersive equation modeling particle suspensions
• Classical flows of vector fields with exponential or sub-exponential summability
• An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces
• Existence and stability of weak solutions of the Vlasov-Poisson system in localised Yudovich spaces

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