Existence of mass conserving solution for the coagulation-fragmentation equation with singular kernel

DOI10.1007/S13160-018-0327-7zbMath1435.35125OpenAlexW2889597881MaRDI QIDQ1630239

Jitendra Kumar, Debdulal Ghosh

Publication date: 7 December 2018

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-018-0327-7

zbMATH Keywords

local existenceone space dimensionexponential momentsmultiple fragmentation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Initial value problems for nonlinear higher-order PDEs (35G25) Integro-partial differential equations (35R09)

Related Items (5)

Uniqueness of solutions to the coagulation-fragmentation equation with singular kernel ⋮ An application of semigroup theory to the coagulation-fragmentation models ⋮ Existence and uniqueness of steady-state solution to a singular coagulation-fragmentation equation ⋮ On equilibrium solution to a singular coagulation equation with source and efflux ⋮ On the mass conserving solutions to the singular kernel coagulation with multi-fragmentation

Cites Work

• The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation.
• The continuous coagulation equation with multiple fragmentation
• Smoluchowski's coagulation equation: Uniqueness, nonuniqueness and a hydrodynamic limit for the stochastic coalescent
• Gelation and mass conservation in coagulation-fragmentation models.
• On a class of continuous coagulation-fragmentation equations
• The singular coagulation equation with multiple fragmentation
• Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation
• A Scalar Transport Equation
• ON AN INFINITE SET OF NON-LINEAR DIFFERENTIAL EQUATIONS
• On a non-uniqueness in fragmentation models
• From the discrete to the continuous coagulation–fragmentation equations
• Existence, Uniqueness and Mass Conservation for the Coagulation-Fragmentation Equation

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