Regular solutions to the coagulation equations with singular kernels

DOI10.1002/mma.3211zbMath1323.45006arXiv1210.1500OpenAlexW2150999283MaRDI QIDQ5266274

Robin Gröpler, Gerald Warnecke, Carlos Cueto Camejo

Publication date: 30 July 2015

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

Full work available at URL: https://arxiv.org/abs/1210.1500

zbMATH Keywords

Smoluchowski equationsingular kernelcoagulation equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Integral equations with miscellaneous special kernels (45H05)

Related Items (9)

Mass-conserving weak solutions to Oort-Hulst-Safronov coagulation equation with singular rates ⋮ Weak solutions to the collision-induced breakage equation with dominating coagulation ⋮ Uniqueness of solutions to the coagulation-fragmentation equation with singular kernel ⋮ Convergence and error estimation of weighted finite volume scheme for coagulation‐fragmentation equation ⋮ Well-posedness for boundary value problems for coagulation-fragmentation equations ⋮ Mass-conserving solutions to the Smoluchowski coagulation equation with singular kernel ⋮ Existence and uniqueness of weak solutions to the singular kernels coagulation equation with collisional breakage ⋮ On a Boltzmann equation for Compton scattering from non relativistic electrons at low density ⋮ The singular coagulation equation with multiple fragmentation

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• A global existence theorem for the general coagulation–fragmentation equation with unbounded kernels
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