A uniqueness theorem for the coagulation-fragmentation equation

DOI10.1017/S0305004100068821zbMath0708.45010MaRDI QIDQ3490451

Iain W. Stewart

Publication date: 1990

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

uniquenessnonlinear coagulation-fragmentation equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Statistical mechanics of polymers (82D60)

Related Items (28)

Approximative solution of the coagulation–fragmentation equation by stochastic particle systems ⋮ Mass-conserving weak solutions to Oort-Hulst-Safronov coagulation equation with singular rates ⋮ A KINETIC MODEL FOR DROPLET COALESCENCE IN DENSE SPRAYS ⋮ The singular kernel coagulation equation with multifragmentation ⋮ Weak solutions to the collision-induced breakage equation with dominating coagulation ⋮ The continuous coagulation equation with multiple fragmentation ⋮ Mass-conserving solutions to coagulation-fragmentation equations with nonintegrable fragment distribution function ⋮ Fast fusion in a two-dimensional coagulation model ⋮ The continuous Redner-Ben-Avraham-Kahng coagulation system: well-posedness and asymptotic behaviour ⋮ Weak solutions to the continuous coagulation model with collisional breakage ⋮ A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximation ⋮ Uniqueness for the coagulation-fragmentation equation with strong fragmentation ⋮ Mass-conserving solutions to the Smoluchowski coagulation equation with singular kernel ⋮ Density conservation for a coagulation equation ⋮ Dust and self-similarity for the Smoluchowski coagulation equation ⋮ A kinetic model for coagulation-fragmentation ⋮ Well-posedness of Smoluchowski's coagulation equation for a class of homogeneous kernels ⋮ Existence and uniqueness of weak solutions to the singular kernels coagulation equation with collisional breakage ⋮ Existence and NonExistence for the Collision-Induced Breakage Equation ⋮ Global classical solutions to the continuous coagulation equation with collisional breakage ⋮ An application of semigroup theory to the pure fragmentation equation ⋮ A spatially homogeneous Boltzmann equation for elastic, inelastic and coalescing collisions ⋮ On a class of continuous coagulation-fragmentation equations ⋮ Absence of Gelation and Self-Similar Behavior for a Coagulation-Fragmentation Equation ⋮ Regular solutions to the coagulation equations with singular kernels ⋮ On the coagulation-fragmentation equation ⋮ Existence, Uniqueness and Mass Conservation for the Coagulation-Fragmentation Equation ⋮ The singular coagulation equation with multiple fragmentation

Cites Work

• The steady spectra of particles in dispersible systems with coagulation and fragmentation
• Convergence to equilibrium in a system of reacting polymers
• A Scalar Transport Equation
• Coagulation with fragmentation
• A global existence theorem for the general coagulation–fragmentation equation with unbounded kernels
• On the Scalar Transport Equation

This page was built for publication: A uniqueness theorem for the coagulation-fragmentation equation