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Izvestiya: Mathematics, 2001, Volume 65, Issue 1, Pages 1–22
DOI: https://doi.org/10.1070/im2001v065n01ABEH000317 (Mi im317) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Solubility of the transport equation in the kinetics of coagulation and fragmentation

P. B. Dubovski
English version PDF (542 kB) Citations (5)
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DOI: https://doi.org/10.1070/im2001v065n01ABEH000317
Abstract: We prove a local existence theorem for a continuous solution of the spatially inhomogeneous kinetic coagulation-fragmentation model of Smoluchowski. Then we prove the solubility of the problem in the large in the class of continuous functions. It is important to emphasize that we admit unbounded integral kernels in both cases. The uniqueness of the solution and its continuous dependence on the input data are also demonstrated.
Received: 29.11.1999
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2001, Volume 65, Issue 1, Pages 3–24
DOI: https://doi.org/10.4213/im317
Bibliographic databases:
MSC: 45K05, 82C22, 82C70, 35Q72
Language: English
Original paper language: Russian
Citation: P. B. Dubovski, “Solubility of the transport equation in the kinetics of coagulation and fragmentation”, Izv. RAN. Ser. Mat., 65:1 (2001), 3–24; Izv. Math., 65:1 (2001), 1–22
Citation in format AMSBIB
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\by P.~B.~Dubovski
\paper Solubility of the transport equation in the kinetics of coagulation and fragmentation
\jour Izv. RAN. Ser. Mat.
\yr 2001
\vol 65
\issue 1
\pages 3--24
\mathnet{http://mi.mathnet.ru/im317}
\crossref{https://doi.org/10.4213/im317}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1829401}
\zmath{https://zbmath.org/?q=an:1097.82024}
\transl
\jour Izv. Math.
\yr 2001
\vol 65
\issue 1
\pages 1--22
\crossref{https://doi.org/10.1070/im2001v065n01ABEH000317}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33747087768}
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  • https://doi.org/10.1070/im2001v065n01ABEH000317
  • https://www.mathnet.ru/eng/im/v65/i1/p3
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:409
    Russian version PDF:235
    English version PDF:12
    References:54
    First page:1
     
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