Weak solutions with bounded support to an Euler-type flocking model

DOI10.1007/978-3-031-55260-1_7MaRDI QIDQ6613490

Debora Amadori, Cleopatra Christoforou

Publication date: 2 October 2024

zbMATH Keywords

weak solutionstime-asymptoticglobal existence with vacuumhydrodynamic model for flocking

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for first-order hyperbolic systems (35L50) Weak solutions to PDEs (35D30) Euler equations (35Q31)

Cites Work

• Title not available (Why is that?)
• A new model for self-organized dynamics and its flocking behavior
• \(L ^1\) convergence to the Barenblatt solution for compressible Euler equations with damping
• Global weak solutions for a model of two-phase flow with a single interface
• From particle to kinetic and hydrodynamic descriptions of flocking
• Equivalence of the Euler and Lagrangian equations of gas dynamics for weak solutions
• Compressible flow with vacuum and physical singularity.
• Convergence to the Barenblatt solution for the compressible Euler equations with damping and vacuum
• A system of hyperbolic conservation laws with frictional damping
• Initial-boundary value problems for conservation laws
• Compressible flow with damping and vacuum
• Global BV solutions to a \(p\)-system with relaxation
• A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
• A global unique solvability of entropic weak solution to the one-dimensional pressureless Euler system with a flocking dissipation
• Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum
• Global BV solutions and relaxation limit for a system of conservation laws
• A hydrodynamic model for the interaction of Cucker–Smale particles and incompressible fluid
• Particle, kinetic, and hydrodynamic models of swarming
• Emergent Dynamics for the Hydrodynamic Cucker--Smale System in a Moving Domain
• On a Model of Multiphase Flow
• The global Cauchy problem for compressible Euler equations with a nonlocal dissipation
• Existence of Weak Solutions to Kinetic Flocking Models
• Hydrodynamic limit of the kinetic Cucker–Smale flocking model
• Emergent Behavior in Flocks
• HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system
• Dynamics and Analysis of Alignment Models of Collective Behavior
• Hyperbolic Conservation Laws in Continuum Physics
• Front tracking for hyperbolic conservation laws
• BV solutions for a hydrodynamic model of flocking-type with all-to-all interaction kernel

This page was built for publication: Weak solutions with bounded support to an Euler-type flocking model

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6613490)