A global existence theorem for Smoluchowski’s coagulation equations
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- by Warren H. White PDF
- Proc. Amer. Math. Soc. 80 (1980), 273-276 Request permission
Abstract:
A countable system of nonlinear ordinary differential equations is shown to admit solutions valid over all positive time.References
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M. v. Smoluchowski, Versuch einer mathematischen Theorie der koagulationskinetik kolloider Losungen, Z. Phys. Chem. 92 (1918), 129-168.
R. L. Drake, A general mathematical survey of the coagulation equation, Topics in Current Aerosol Research 3 (Part 2), G. M. Hidy and J. R. Brock (eds.), Pergamon, Oxford, 1972, pp. 201-376.
H. R. Pruppacher and J. D. Klett, Microphysics of clouds and precipitation, Reidel, Dordrecht, 1978.
- J. B. McLeod, On an infinite set of non-linear differential equations, Quart. J. Math. Oxford Ser. (2) 13 (1962), 119–128. MR 139822, DOI 10.1093/qmath/13.1.119
- J. B. McLeod, On an infinite set of non-linear differential equations. II, Quart. J. Math. Oxford Ser. (2) 13 (1962), 193–205. MR 140745, DOI 10.1093/qmath/13.1.193
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 80 (1980), 273-276
- MSC: Primary 34A45; Secondary 34G20, 80A30
- DOI: https://doi.org/10.1090/S0002-9939-1980-0577758-1
- MathSciNet review: 577758