Existence and uniqueness of a solution of the problem with free boundary in the theory of filtration consolidation of soils with regard for the influence of technogenic factors

Verfasser / Beitragende:
[Petro Martynyuk]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/1(2015-05-01), 59-73
Format:
Artikel (online)
ID: 605522375
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024 7 0 |a 10.1007/s10958-015-2355-z  |2 doi 
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100 1 |a Martynyuk  |D Petro  |u Chair of Applied Mathematics, National University of Water Management and Nature Resources Use, 11, Soborna Str., 33001, Rivne, Ukraine  |4 aut 
245 1 0 |a Existence and uniqueness of a solution of the problem with free boundary in the theory of filtration consolidation of soils with regard for the influence of technogenic factors  |h [Elektronische Daten]  |c [Petro Martynyuk] 
520 3 |a We study a mathematical model of the process of filtration consolidation of soils under conditions of the influence of technogenic factors, which is described with a boundary-value problem with free boundary for a system of quasilinear parabolic equations. The existence and the uniqueness of a local-in-time solution of the one-dimensional boundary-value problem in Hölder spaces are proved. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a Quasilinear equations of the parabolic type  |2 nationallicence 
690 7 |a system  |2 nationallicence 
690 7 |a free boundary  |2 nationallicence 
690 7 |a existence and uniqueness of a solution  |2 nationallicence 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/1(2015-05-01), 59-73  |x 1072-3374  |q 207:1<59  |1 2015  |2 207  |o 10958 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2355-z  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Martynyuk  |D Petro  |u Chair of Applied Mathematics, National University of Water Management and Nature Resources Use, 11, Soborna Str., 33001, Rivne, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/1(2015-05-01), 59-73  |x 1072-3374  |q 207:1<59  |1 2015  |2 207  |o 10958