Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions
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Publication:5237780
DOI10.1142/S021820251950012XzbMath1428.35612MaRDI QIDQ5237780
Publication date: 18 October 2019
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Models of societies, social and urban evolution (91D10) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)
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Cites Work
- Unnamed Item
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- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Initiation of slime mold aggregation viewed as an instability
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- From particle to kinetic and hydrodynamic descriptions of flocking
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components
- On the interplay between behavioral dynamics and social interactions in human crowds
- Mathematical models for chemotaxis and their applications in self-organisation phenomena
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Boundedness vs. blow-up in a chemotaxis system
- ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
- The two-dimensional Keller–Segel system with singular sensitivity and signal absorption: Global large-data solutions and their relaxation properties
- Long-term behaviour in a chemotaxis-fluid system with logistic source
- ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS
- Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- Fokker–Planck equations in the modeling of socio-economic phenomena
- Efficient numerical methods for multiscale crowd dynamics with emotional contagion
- A STATISTICAL MODEL OF CRIMINAL BEHAVIOR
- Logarithmic Sobolev Inequalities
- Pattern formation in prey-taxis systems
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Emergent Behavior in Flocks
- A quest toward a mathematical theory of the dynamics of swarms
- Complex spatial group patterns result from different animal communication mechanisms