Boundary-value problem for density-velocity model of collective motion of organisms
From MaRDI portal
Publication:930996
DOI10.1016/j.jmaa.2008.04.030zbMath1146.35047OpenAlexW2050879933MaRDI QIDQ930996
Publication date: 24 June 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.04.030
regularityexistenceattractorsuniquenessBurgers equationDirichlet boundary conditionspositivityNeumann boundary conditionsconservation equationcollective organization
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Developmental biology, pattern formation (92C15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A nonlocal continuum model for biological aggregation
- Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
- A non-local model for a swarm
- Infinite-dimensional dynamical systems in mechanics and physics.
- A mathematical analysis of a fish school model
- Mutual interactions, potentials, and individual distance in a social aggregation
- Modeling group formation and activity patterns in self-organizing collectives of individuals
- Finite-time blow-up of solutions of an aggregation equation in \(\mathbb R^n\)
- On an aggregation model with long and short range interactions
- A nonlocal model of phytoplankton aggregation
- An ODE model of the motion of pelagic fish
- Theory of functionals that uniquely determine the asymptotic dynamics of infinite-dimensional dissipative systems
- Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups
- Hydrodynamics of bacterial colonies
- Complex spatial group patterns result from different animal communication mechanisms
- Dynamics of group formation in collective motion of organisms
