Asymptotic behavior of solutions to the coagulation-fragmentation equations. II: Weak fragmentation
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Publication:1906403
DOI10.1007/BF02186834zbMath0838.60089OpenAlexW2029281478MaRDI QIDQ1906403
Jack Carr, Fernando Pestana Da Costa
Publication date: 19 March 1996
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02186834
Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items (28)
The discrete diffusive coagulation-fragmentation equations with scattering ⋮ Asymptotic behaviour of solutions to the Becker-Döring equations ⋮ Boltzmann and Poincaré entropy, Boltzmann extremals, and Hamilton-Jacobi method for non-Hamiltonian situation ⋮ An introduction to mathematical models of coagulation--fragmentation processes: a discrete deterministic mean-field approach ⋮ Deterministic and Stochastic Becker–Döring Equations: Past and Recent Mathematical Developments ⋮ Stochastic coagulation-fragmentation processes with a finite number of particles and applications ⋮ Trend to equilibrium for the Becker-Döring equations : an analogue of Cercignani's conjecture ⋮ Global classical solutions of coagulation-fragmentation equations with unbounded coagulation rates ⋮ On the positivity of solutions to the Smoluchowski equations ⋮ A note on the discrete coagulation equations with collisional breakage ⋮ Convergence to equilibrium for the continuous coagulation-fragmentation equation ⋮ Asymptotic behaviour of solutions to the diffusive fragmentation-coagulation system ⋮ Large time behavior of exchange-driven growth ⋮ Analytic fragmentation semigroups and classical solutions to coagulation-fragmentation equations -- a survey ⋮ Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance ⋮ Generalized Boltzmann-type equations for aggregation in gases ⋮ Coagulation-fragmentation model for animal group-size statistics ⋮ On an irregular dynamics of certain fragmentation semigroups ⋮ Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion ⋮ On the dynamic scaling behaviour of solutions to the discrete smoluchowski equations ⋮ Asymptotic behaviour of solutions to the generalized Becker–Döring equations for general initial data ⋮ Discrete fragmentation systems in weighted \(\ell^1\) spaces ⋮ Fokker--Planck Approach of Ostwald Ripening: Simulation of a Modified Lifshitz--Slyozov--Wagner System with a Diffusive Correction ⋮ Kinetics of cell surface capping ⋮ Smoluchowski's discrete coagulation equation with forcing ⋮ Fragmentation–diffusion model. Existence of solutions and their asymptotic behaviour ⋮ Stationary solutions to coagulation-fragmentation equations ⋮ On the existence of moments of solutions to fragmentation equations
Cites Work
- The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation.
- The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
- The mass-conserving solutions of Smoluchowski's coagulation equation: The general bilinear kernel
- Instantaneous gelation in coagulation dynamics
- Trend to equilibrium in the Becker-Doring cluster equations
- Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data
- Asymptotic behaviour of solutions to the coagulation–fragmentation equations. I. The strong fragmentation case
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