A KINETIC MODEL FOR DROPLET COALESCENCE IN DENSE SPRAYS

DOI10.1142/S021820250100115XzbMath1012.82013OpenAlexW1970872673MaRDI QIDQ4798891

Jean-Michel Roquejoffre, Philippe Villedieu

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021820250100115x

zbMATH Keywords

asymptotic behaviorCauchy problemkinetic equationdroplet coalescencecollision kernelpositive-measure-valued solution

Mathematics Subject Classification ID

Related Items (11)

GENERALIZED KINETIC (BOLTZMANN) MODELS: MATHEMATICAL STRUCTURES AND APPLICATIONS ⋮ BOLTZMANN-LIKE MODELLING OF A SUSPENSION ⋮ MODELLING OF OSCILLATIONS, BREAKUP AND COLLISIONS FOR DROPLETS: THE ESTABLISHMENT OF KERNELS FOR THE T.A.B. MODEL ⋮ Scalings for a ballistic aggregation equation ⋮ Model Reduction, Structure-property Relations and Optimization Techniques for the Production of Nanoscale Particles ⋮ Global existence for the continuous nonhomogeneous Smoluchowski equation and asymptotic behaviour of the solutions ⋮ Stochastic modelling of traffic flow. ⋮ A KINETIC DESCRIPTION OF PARTICLE FRAGMENTATION ⋮ A spatially homogeneous Boltzmann equation for elastic, inelastic and coalescing collisions ⋮ Modeling and analytic problems for a generalized Boltzmann equation for a multicomponent reacting gas ⋮ A BGK model for a suspension of inelastic spheres

Cites Work

• Convergence to equilibrium in a system of reacting polymers
• Metastable fluid flow described via a discrete-velocity coagulation-fragmentation model.
• A uniqueness theorem for the coagulation-fragmentation equation
• Une méthode particulaire aléatoire reposant sur une équation cinétique pour la simulation numérique des sprays denses de gouttelettes liquides
• A global existence theorem for the general coagulation–fragmentation equation with unbounded kernels

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