Dust and self-similarity for the Smoluchowski coagulation equation

DOI10.1016/j.anihpc.2005.05.001zbMath1154.82024OpenAlexW2171239792MaRDI QIDQ2490930

Stéphane Mischler, Miguel Escobedo

Publication date: 18 May 2006

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2006__23_3_331_0

zbMATH Keywords

self-similaritycoagulationSmoluchowski equationmoment estimatesdust phase

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Interacting particle systems in time-dependent statistical mechanics (82C22) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (30)

Mass-conserving weak solutions to Oort-Hulst-Safronov coagulation equation with singular rates ⋮ Mathematical theory of exchange-driven growth ⋮ Self-similar solutions with fat tails for Smoluchowski's coagulation equation with singular kernels ⋮ Exponential Tail Behavior of Self-Similar Solutions to Smoluchowski's Coagulation Equation ⋮ Scalings for a ballistic aggregation equation ⋮ On the energy cascade of 3-wave kinetic equations: beyond Kolmogorov-Zakharov solutions ⋮ On the self-similar behavior of coagulation systems with injection ⋮ Long-time asymptotics for coagulation equations with injection that do not have stationary solutions ⋮ Non-equilibrium stationary solutions for multicomponent coagulation systems with injection ⋮ Fast fusion in a two-dimensional coagulation model ⋮ Self-similar solutions with fat tails for Smoluchowski's coagulation equation with locally bounded kernels ⋮ Stability and cascades for the Kolmogorov-Zakharov spectrum of wave turbulence ⋮ Large time asymptotics for a modified coagulation model ⋮ The shape of the polymerization rate in the prion equation ⋮ Asymptotics of self-similar solutions to coagulation equations with product kernel ⋮ Self-similarity in a general aggregation-fragmentation problem. Application to fitness analysis ⋮ The scaling hypothesis for Smoluchowski's coagulation equation with bounded perturbations of the constant kernel ⋮ Regularity, local behavior and partial uniqueness for self-similar profiles of Smoluchowski's coagulation equation ⋮ Uniqueness of self-similar solutions to Smoluchowski's coagulation equations for kernels that are close to constant ⋮ Mass-conserving solutions to the Smoluchowski coagulation equation with singular kernel ⋮ Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity one ⋮ Tail behaviour of self-similar profiles with infinite mass for Smoluchowski's coagulation equation ⋮ Well-posedness of Smoluchowski's coagulation equation for a class of homogeneous kernels ⋮ Stability and uniqueness of self-similar profiles in \(L^1\) spaces for perturbations of the constant kernel in Smoluchowski's coagulation equation ⋮ Stationary non-equilibrium solutions for coagulation systems ⋮ Uniqueness of mass-conserving self-similar solutions to Smoluchowski's coagulation equation with inverse power law kernels ⋮ Optimal Bounds for Self-Similar Solutions to Coagulation Equations with Product Kernel ⋮ Contractivity for Smoluchowski's coagulation equation with solvable kernels ⋮ Two solvable systems of coagulation equations with limited aggregations ⋮ Regular solutions to the coagulation equations with singular kernels

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