On long-time asymptotics for viscous hydrodynamic models of collective behavior with damping and nonlocal interactions
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Publication:4630567
DOI10.1142/S0218202519500027zbMath1411.35224arXiv1709.09290OpenAlexW2962834599MaRDI QIDQ4630567
Aneta Wróblewska-Kamińska, Ewelina Zatorska, José Antonio Carrillo
Publication date: 27 March 2019
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.09290
long time asymptoticsviscous compressible flowsnonlocal interaction forceshydrodynamic models for swarming
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Cites Work
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- Stationary states of quadratic diffusion equations with long-range attraction
- A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity
- On the dynamics of a fluid-particle interaction model: the bubbling regime
- Global minimizers for free energies of subcritical aggregation equations with degenerate diffusion
- Long time behavior of weak solutions to Navier-Stokes-Poisson system
- Volume effects in the Keller--Segel model: energy estimates preventing blow-up
- On the global regularity of subcritical Euler-Poisson equations with pressure
- Double milling in self-propelled swarms from kinetic theory
- Ground states in the diffusion-dominated regime
- Spectral dynamics of the velocity gradient field in restricted flows
- Solutions of Euler-Poisson equations for gaseous stars
- Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates
- Global in time weak solutions for compressible barotropic self-gravitating fluids
- Modeling of self-organized systems interacting with a few individuals: from microscopic to macroscopic dynamics
- Large-time behaviour of solutions to the Navier-Stokes equations of compressible flow
- Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics
- Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics
- Equilibria of homogeneous functionals in the fair-competition regime
- Macroscopic limits and phase transition in a system of self-propelled particles
- Hydrodynamics and phases of flocks
- Variational solutions of some nonlinear free boundary problems
- State transitions and the continuum limit for a 2D interacting, self-propelled particle system
- Critical thresholds in Euler-Poisson equations
- Critical thresholds in 1D Euler equations with non-local forces
- On the pressureless damped Euler–Poisson equations with quadratic confinement: Critical thresholds and large-time behavior
- Relative Entropy in Diffusive Relaxation
- Stationary States and Asymptotic Behavior of Aggregation Models with Nonlinear Local Repulsion
- Critical thresholds in flocking hydrodynamics with non-local alignment
- Stationary States of an Aggregation Equation with Degenerate Diffusion and Bounded Attractive Potential
- A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION
- Particle, kinetic, and hydrodynamic models of swarming
- Compactly supported stationary states of the degenerate Keller-Segel system in the diffusion-dominated regime
- SELF-PROPELLED INTERACTING PARTICLE SYSTEMS WITH ROOSTING FORCE
- CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION
- Critical Thresholds in 2D Restricted Euler-Poisson Equations
- On the domain dependence of solutions to the compressible Navier-Stokes equations of a barotropic fluid
- The Geometry of Diffusing and Self-Attracting Particles in a One-Dimensional Fair-Competition Regime
- Sur les solution à symétrie sphérique de l’equation d’Euler-Poisson pour l’evolution d’etoiles gazeuses
- A Multiscale Meshfree Method for Macroscopic Approximations of Interacting Particle Systems
- Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction
- Weak solutions for Euler systems with non-local interactions
- On the existence of globally defined weak solutions to the Navier-Stokes equations
