Temporal oscillations in Becker–Döring equations with atomization

DOI10.1088/1361-6544/ab6815zbMath1444.34065arXiv1905.02605OpenAlexW2944644711MaRDI QIDQ5112210

Robert L. Pego, Juan J. L. Velazquez

Publication date: 28 May 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02605

zbMATH Keywords

shatteringtime periodic solutionsbubbelatorbubbling oscillator

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items

Non-equilibrium phase transition and cluster size distribution in aggregation and weighted-fragmentation processes, Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics, Oscillations in a Becker--Döring Model with Injection and Depletion, Common structure of reduced bases for aggregation kinetics problems of varying dimensionality, Stability condition of the steady oscillations in aggregation models with shattering process and self-fragmentation, Origin of the spontaneous oscillations in a simplified coagulation-fragmentation system driven by a source, Model reduction in Smoluchowski-type equations

Cites Work

• Unnamed Item
• Coagulation-fragmentation model for animal group-size statistics
• The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
• Periodic solutions of difference-differential equations
• Convergence to equilibrium in a system of reacting polymers
• On the rate of convergence to equilibrium in the Becker--Döring equations.
• Convergence to equilibrium for the continuous coagulation-fragmentation equation
• Gelation and mass conservation in coagulation-fragmentation models.
• Gelation in coagulation and fragmentation models
• On a class of continuous coagulation-fragmentation equations
• Cutoff estimates for the linearized Becker-Döring equations
• Oscillatory dynamics in Smoluchowski's coagulation equation with diagonal kernel
• A first principles derivation of animal group size distributions
• Power-law versus exponential distributions of animal group sizes
• Trend to equilibrium for the Becker-Döring equations : an analogue of Cercignani's conjecture
• The scaling attractor and ultimate dynamics for Smoluchowski's coagulation equations
• Exponential convergence to equilibrium for subcritical solutions of the Becker-Döring equations
• Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance
• Algebraic Decay to Equilibrium for the Becker--Döring Equations
• Exponential trend to equilibrium for discrete coagulation equations with strong fragmentation and without a balance condition
• The Spectrum of Delay Differential Equations with Large Delay
• EXACT SOLUTION OF A MODEL FOR CROWDING AND INFORMATION TRANSMISSION IN FINANCIAL MARKETS
• Deterministic and Stochastic Becker–Döring Equations: Past and Recent Mathematical Developments
• Absence of Gelation and Self-Similar Behavior for a Coagulation-Fragmentation Equation