Modelling aggregation-fragmentation phenomena from kinetic to macroscopic scales
From MaRDI portal
Publication:614310
DOI10.1016/j.mcm.2010.05.010zbMath1202.82065OpenAlexW2039848023MaRDI QIDQ614310
Publication date: 27 December 2010
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2010.05.010
Integro-partial differential equations (45K05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) General biology and biomathematics (92B05)
Related Items (12)
Onset of nonlinearity in thermostatted active particles models for complex systems ⋮ Stability of selfsimilar solutions to the fragmentation equation with polynomial daughter fragments distribution ⋮ The role of nonconservative interactions in the asymptotic limit of thermostatted kinetic models ⋮ MATHEMATICAL MODELING FOR KELOID FORMATION TRIGGERED BY VIRUS: MALIGNANT EFFECTS AND IMMUNE SYSTEM COMPETITION ⋮ A note on the self-similar solutions to the spontaneous fragmentation equation ⋮ Bifurcation diagrams for the moments of a kinetic type model of keloid-immune system competition ⋮ Modeling complex systems with particles refuge by thermostatted kinetic theory methods ⋮ On the modeling of nonlinear interactions in large complex systems ⋮ Multiscale modelling of solute transport through porous media using homogenization and splitting methods ⋮ High-order moments conservation in thermostatted kinetic models ⋮ Qualitative analysis of a retarded mathematical framework with applications to living systems ⋮ PROPAGATION OF CHAOS IN A COAGULATION MODEL
Cites Work
- The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation.
- From the mathematical kinetic theory for active particles on the derivation of hyperbolic macroscopic tissue models
- Coagulation-diffusion systems: Derivation and existence of solutions for the diffuse interface structure equations
- An introduction to mathematical models of coagulation--fragmentation processes: a discrete deterministic mean-field approach
- Implementation of a fragmentation--coagulation--scattering model for the dynamics of stirred liquid--liquid dispersions
- Towards a mathematical theory of complex socio-economical systems by functional subsystems representation
- New paradigms towards the modelling of complex systems in behavioral economics
- On the modelling of space dynamics in the kinetic theory for active particles
- Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
- The Cauchy problem for the system of equations describing migration motivated by regional economic disparity
- Existence of solutions for the discrete coagulation-fragmentation model with diffusion
- Gelation in coagulation and fragmentation models
- From the Jager and Segel model to kinetic population dynamics nonlinear evolution problems and applications.
- The Boltzmann equation for dissipative disparate mixtures
- Existence and uniqueness of density conserving solutions to the coagulation-fragmentation equations with strong fragmentation
- Solution of a new class of nonlinear kinetic models of population dynamics
- A spatial model of the relationship between seats and votes
- Actual voting power of the IMF members based on their political-economic integration
- Conservation laws and asymptotic behavior of a model of social dynamics
- MATHEMATICAL MODELING FOR KELOID FORMATION TRIGGERED BY VIRUS: MALIGNANT EFFECTS AND IMMUNE SYSTEM COMPETITION
- Existence of solutions to coagulation-fragmentation systems with diffusion
- ON THE EXISTENCE OF LIMIT CYCLES IN OPINION FORMATION PROCESSES UNDER TIME PERIODIC INFLUENCE OF PERSUADERS
- ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
- A STATISTICAL MODEL OF CRIMINAL BEHAVIOR
- MULTISCALE BIOLOGICAL TISSUE MODELS AND FLUX-LIMITED CHEMOTAXIS FOR MULTICELLULAR GROWING SYSTEMS
- A GENERALIZED KINETIC MODEL OF SEDIMENTATION OF POLYDISPERSE SUSPENSIONS WITH A CONTINUOUS PARTICLE SIZE DISTRIBUTION
- MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
- MODELLING EPIDEMICS AND VIRUS MUTATIONS BY METHODS OF THE MATHEMATICAL KINETIC THEORY FOR ACTIVE PARTICLES
- PARAMETER EVALUATION OF A SIMPLE MEAN-FIELD MODEL OF SOCIAL INTERACTION
- MODELLING VASCULAR MORPHOGENESIS: CURRENT VIEWS ON BLOOD VESSELS DEVELOPMENT
- DYNAMICAL CLUSTERING AS A GENERATOR OF COMPLEX SYSTEM DYNAMICS
- A Global Existence Theorem for Smoluchowski's Coagulation Equations
- On the Distribution of Dominance in Populations of Social Organisms
- Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
- A Semigroup Approach to Fragmentation Models
- An Existence and Uniqueness Result for a Coagulation and Multiple-Fragmentation Equation
- The Becker-Döring model with diffusion. I. Basic properties of solutions
- On the Oort--Hulst--Safronov Coagulation Equation and Its Relation to the Smoluchowski Equation
- A nonlocal coagulation-fragmentation model
- A global existence theorem for the general coagulation–fragmentation equation with unbounded kernels
- GENERALIZED KINETIC (BOLTZMANN) MODELS: MATHEMATICAL STRUCTURES AND APPLICATIONS
- Approach to Equilibrium for the Coagulation-Fragmentation Equation via a Lyapunov Functional
- MULTICELLULAR BIOLOGICAL GROWING SYSTEMS: HYPERBOLIC LIMITS TOWARDS MACROSCOPIC DESCRIPTION
- A review of statistical models for the break-up of an immiscible fluid immersed into a fully developed turbulent flow
- MODEL HIERARCHIES FOR CELL AGGREGATION BY CHEMOTAXIS
- A CONTINUOUS SIZE-STRUCTURED RED CORAL GROWTH MODEL
- Kinetische Behandlung der Keimbildung in übersättigten Dämpfen
This page was built for publication: Modelling aggregation-fragmentation phenomena from kinetic to macroscopic scales
