Analytic fragmentation semigroups and classical solutions to coagulation-fragmentation equations -- a survey

DOI10.1007/s10114-018-7435-9zbMath1409.35205OpenAlexW2806853196WikidataQ70721702 ScholiaQ70721702MaRDI QIDQ1734906

Jacek Banasiak

Publication date: 27 March 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-018-7435-9

zbMATH Keywords

interpolationcoagulationfragmentationclassical solutionssemilinear problemspositive semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09)

Cites Work

• Unnamed Item
• Unnamed Item
• Weak solutions to the continuous coagulation equation with multiple fragmentation
• Analytic fragmentation semigroups and continuous coagulation-fragmentation equations with unbounded rates
• Global classical solutions of coagulation-fragmentation equations with unbounded coagulation rates
• Discrete fragmentation with mass loss
• The discrete fragmentation equation: semigroups, compactness and asynchronous exponential growth
• Strong fragmentation and coagulation with power-law rates
• The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation.
• The continuous coagulation equation with multiple fragmentation
• Uniqueness for the coagulation-fragmentation equation with strong fragmentation
• Coagulation-fragmentation model for animal group-size statistics
• On an irregular dynamics of certain fragmentation semigroups
• Transport processes with coagulation and strong fragmentation
• Appearance of dust in fragmentations
• Shattering and non-uniqueness in fragmentation models -- an analytic approach
• Strongly differentiable solutions of the discrete coagulation-fragmentation equation
• Coagulation, fragmentation and growth processes in a size structured population
• Semigroups of linear operators and applications to partial differential equations
• Convergence to equilibrium in a system of reacting polymers
• Instantaneous gelation in coagulation dynamics
• Perturbation of positive semigroups
• A finite-dimensional dynamical model for gelation in coagulation processes
• Gelation and mass conservation in coagulation-fragmentation models.
• The asymptotic behavior of fragmentation processes
• On a class of continuous coagulation-fragmentation equations
• Diffusion and ecological problems: Modern perspectives.
• On small particles in coagulation-fragmentation equations
• Existence and uniqueness of density conserving solutions to the coagulation-fragmentation equations with strong fragmentation
• The dynamics of group formation
• Asymptotic behavior of solutions to the coagulation-fragmentation equations. II: Weak fragmentation
• On the existence of moments of solutions to fragmentation equations
• Explosion phenomena in stochastic coagulation-fragmentation models
• Loss of mass in deterministic and random fragmentations.
• On the semi-group generated by Kolmogoroff's differential equations
• Weak Compactness Techniques and Coagulation Equations
• Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation
• STOCHASTIC FRAGMENTATION AND SOME SUFFICIENT CONDITIONS FOR SHATTERING TRANSITION
• Singularities in the kinetics of coagulation processes
• Asymptotic behaviour of solutions to the coagulation–fragmentation equations. I. The strong fragmentation case
• One-Parameter Semigroups for Linear Evolution Equations
• An Existence and Uniqueness Result for a Coagulation and Multiple-Fragmentation Equation
• A global existence theorem for the general coagulation–fragmentation equation with unbounded kernels
• THE DISCRETE COAGULATION EQUATIONS WITH MULTIPLE FRAGMENTATION
• Existence, Uniqueness and Mass Conservation for the Coagulation-Fragmentation Equation
• Random Fragmentation and Coagulation Processes
• On the Distribution of the Sizes of Particles which Undergo Splitting
• On the Scalar Transport Equation
• The effect of coalescence in certain collision processes
• Analytic semigroups and optimal regularity in parabolic problems

This page was built for publication: Analytic fragmentation semigroups and classical solutions to coagulation-fragmentation equations -- a survey