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

José A. Cañizo; Stéphane Mischler; Clément Mouhot

doi:10.1137/08074091x

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

Liapunov Functionals for Smoluchowski’s Coagulation Equation and Convergence to Self-Similarity

Monatshefte für Mathematik ◽

10.1007/s00605-005-0308-1 ◽

2005 ◽

Vol 146 (2) ◽

pp. 127-142 ◽

Cited By ~ 11

Author(s):

Philippe Laurençot ◽

Stéphane Mischler

Keyword(s):

Self Similarity ◽

Coagulation Equation ◽

Liapunov Functionals ◽

Smoluchowski's Coagulation Equation

Self-similarity in Smoluchowski’s Coagulation Equation

Jahresbericht der Deutschen Mathematiker-Vereinigung ◽

10.1365/s13291-014-0085-7 ◽

2014 ◽

Vol 116 (1) ◽

pp. 43-65 ◽

Cited By ~ 1

Author(s):

Barbara Niethammer

Keyword(s):

Self Similarity ◽

Coagulation Equation ◽

Smoluchowski's Coagulation Equation

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

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

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

The rate of convergence of parabolic difference schemes with constant coefficients

BIT Numerical Mathematics ◽

10.1007/bf01933535 ◽

1969 ◽

Vol 9 (1) ◽

pp. 1-17 ◽

Cited By ~ 3

Author(s):

G. W. Hedstrom

Keyword(s):

Rate Of Convergence ◽

Difference Schemes ◽

Constant Coefficients ◽

Parabolic Difference

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

Dust and self-similarity for the Smoluchowski coagulation equation

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2005.05.001 ◽

2006 ◽

Vol 23 (3) ◽

pp. 331-362 ◽

Cited By ~ 26

Author(s):

M. Escobedo ◽

S. Mischler

Keyword(s):

Self Similarity ◽

Smoluchowski Coagulation Equation ◽

Coagulation Equation

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 ◽

On the rate of convergence of finite-difference approximations for Bellman equations with constant coefficients

St Petersburg Mathematical Journal ◽

10.1090/s1061-0022-06-00905-8 ◽

2006 ◽

Vol 17 (2) ◽

pp. 295-313 ◽

Cited By ~ 5

Author(s):

Hongjie Dong ◽

N. V. Krylov

Keyword(s):

Finite Difference ◽

Rate Of Convergence ◽

Bellman Equations ◽

Finite Difference Approximations ◽

Difference Approximations ◽

Constant Coefficients