Oscillatory dynamics in Smoluchowski's coagulation equation with diagonal kernel

Philippe Laurençot;  ; Barbara Niethammer; Juan J.L. Velázquez;

doi:10.3934/krm.2018037

Oscillatory dynamics in Smoluchowski's coagulation equation with diagonal kernel

Kinetic and Related Models ◽

10.3934/krm.2018037 ◽

2018 ◽

Vol 11 (4) ◽

pp. 933-952 ◽

Cited By ~ 4

Author(s):

Philippe Laurençot ◽

◽

Barbara Niethammer ◽

Juan J.L. Velázquez ◽

Keyword(s):

Oscillatory Dynamics ◽

Coagulation Equation ◽

Smoluchowski's Coagulation Equation

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Stability and Uniqueness of Self-similar Profiles in $$L^1$$ Spaces for Perturbations of the Constant Kernel in Smoluchowski’s Coagulation Equation

Communications in Mathematical Physics ◽

10.1007/s00220-021-03967-6 ◽

2021 ◽

Vol 383 (3) ◽

pp. 1361-1407

Author(s):

Sebastian Throm

Keyword(s):

Coagulation Equation ◽

Self Similar ◽

Smoluchowski's Coagulation Equation

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Asymptotic solutions to the Smoluchowski's coagulation equation with singular gamma distributions as initial size spectra

Journal of Colloid and Interface Science ◽

10.1016/j.jcis.2006.09.072 ◽

2007 ◽

Vol 309 (2) ◽

pp. 440-444

Author(s):

Ulf Lindblad

Keyword(s):

Asymptotic Solutions ◽

Initial Size ◽

Size Spectra ◽

Gamma Distributions ◽

Coagulation Equation ◽

Smoluchowski's Coagulation Equation

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On Smoluchowski's coagulation equation

Journal of Physics A General Physics ◽

10.1088/0305-4470/21/3/040 ◽

1988 ◽

Vol 21 (3) ◽

pp. 839-842 ◽

Cited By ~ 17

Author(s):

N J Kokholm

Keyword(s):

Coagulation Equation ◽

Smoluchowski's Coagulation Equation

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Existence and uniqueness of solutions of Smoluchowski’s coagulation equation with source terms

Quarterly of Applied Mathematics ◽

10.1090/qam/1878265 ◽

2002 ◽

Vol 60 (1) ◽

pp. 183-194 ◽

Cited By ~ 2

Author(s):

M. Shirvani ◽

H. J. Van Roessel

Keyword(s):

Existence And Uniqueness ◽

Source Terms ◽

Uniqueness Of Solutions ◽

Coagulation Equation ◽

Smoluchowski's Coagulation Equation

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Rate of Convergence to Self-Similarity for Smoluchowski's Coagulation Equation with Constant Coefficients

SIAM Journal on Mathematical Analysis ◽

10.1137/08074091x ◽

2010 ◽

Vol 41 (6) ◽

pp. 2283-2314 ◽

Cited By ~ 8

Author(s):

José A. Cañizo ◽

Stéphane Mischler ◽

Clément Mouhot

Keyword(s):

Rate Of Convergence ◽

Self Similarity ◽

Constant Coefficients ◽

Coagulation Equation ◽

Smoluchowski's Coagulation Equation

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Self-similar Solutions with Fat Tails for Smoluchowski’s Coagulation Equation with Locally Bounded Kernels

Communications in Mathematical Physics ◽

10.1007/s00220-012-1553-5 ◽

2012 ◽

Vol 318 (2) ◽

pp. 505-532 ◽

Cited By ~ 21

Author(s):

B. Niethammer ◽

J. J. L. Velázquez

Keyword(s):

Fat Tails ◽

Coagulation Equation ◽

Self Similar ◽

Smoluchowski's Coagulation Equation ◽

Erratum to: Self-similar Solutions with Fat Tails for Smoluchowski’s Coagulation Equation with Locally Bounded Kernels

Communications in Mathematical Physics ◽

10.1007/s00220-013-1661-x ◽

2013 ◽

Vol 318 (2) ◽

pp. 533-534 ◽

Cited By ~ 2

Author(s):

B. Niethammer ◽

J. J. L. Velázquez

Keyword(s):

Fat Tails ◽

Coagulation Equation ◽

Self Similar ◽

Smoluchowski's Coagulation Equation ◽

Numerical solution of homogeneous Smoluchowski's coagulation equation

International Journal of Computer Mathematics ◽

10.1080/00207160802617012 ◽

2010 ◽

Vol 87 (9) ◽

pp. 2113-2122 ◽

Cited By ~ 6

Author(s):

Mojtaba Ranjbar ◽

Hojatollah Adibi ◽

Mehrdad Lakestani

Keyword(s):

Numerical Solution ◽

Coagulation Equation ◽

Smoluchowski's Coagulation Equation

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Exponential Tail Behavior of Self-Similar Solutions to Smoluchowski's Coagulation Equation

Communications in Partial Differential Equations ◽

10.1080/03605302.2014.918143 ◽

2014 ◽

Vol 39 (12) ◽

pp. 2314-2350 ◽

Cited By ~ 6

Author(s):

B. Niethammer ◽

J. J. L. Velázquez

Keyword(s):

Tail Behavior ◽

Exponential Tail ◽

Coagulation Equation ◽

Self Similar ◽

Smoluchowski's Coagulation Equation ◽

The mass-conserving solutions of Smoluchowski's coagulation equation: The general bilinear kernel

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf00946244 ◽

1992 ◽

Vol 43 (3) ◽

pp. 526-535 ◽

Cited By ~ 5

Author(s):

M. Shirvani ◽

H. Roessel

Keyword(s):

Coagulation Equation ◽

Smoluchowski's Coagulation Equation

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