On some problems concerning the nonlinear infiltration in unsaturated media

The paper deals with the mathematical treatment of two specific models related to water infiltration in soils. The mathematical models consist of Richard’s equation with appropriate boundary and initial conditions. The hydraulic parameters (diffusivity, hydraulic conductivity, water capacity) that r...

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Veröffentlicht in:Нелинейные граничные задачи
Datum:2004
1. Verfasser: Marinoschi, G.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2004
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/169177
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Zitieren:On some problems concerning the nonlinear infiltration in unsaturated media / G. Marinoschi // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 90-96. — Бібліогр.: 9 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Marinoschi, G.
author_facet Marinoschi, G.
citation_txt On some problems concerning the nonlinear infiltration in unsaturated media / G. Marinoschi // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 90-96. — Бібліогр.: 9 назв. — англ.
collection DSpace DC
container_title Нелинейные граничные задачи
description The paper deals with the mathematical treatment of two specific models related to water infiltration in soils. The mathematical models consist of Richard’s equation with appropriate boundary and initial conditions. The hydraulic parameters (diffusivity, hydraulic conductivity, water capacity) that represent the coefficients of this equation are nonlinear functions. Depending on the situation studied, particularities that may arise are represented by the fact that the water capacity vanishes at the saturation value, implying that the equation degenerates at the interface between unsaturated-saturated flow and diffusivity blows up at the moisture saturation value in the unsaturated model. The paper develops a theory concerning the existence of the solution of each model apart.
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 0236-0497
language English
last_indexed 2025-11-25T23:29:47Z
publishDate 2004
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Marinoschi, G.
2020-06-07T16:40:49Z
2020-06-07T16:40:49Z
2004
On some problems concerning the nonlinear infiltration in unsaturated media / G. Marinoschi // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 90-96. — Бібліогр.: 9 назв. — англ.
0236-0497
https://nasplib.isofts.kiev.ua/handle/123456789/169177
The paper deals with the mathematical treatment of two specific models related to water infiltration in soils. The mathematical models consist of Richard’s equation with appropriate boundary and initial conditions. The hydraulic parameters (diffusivity, hydraulic conductivity, water capacity) that represent the coefficients of this equation are nonlinear functions. Depending on the situation studied, particularities that may arise are represented by the fact that the water capacity vanishes at the saturation value, implying that the equation degenerates at the interface between unsaturated-saturated flow and diffusivity blows up at the moisture saturation value in the unsaturated model. The paper develops a theory concerning the existence of the solution of each model apart.
en
Інститут прикладної математики і механіки НАН України
Нелинейные граничные задачи
On some problems concerning the nonlinear infiltration in unsaturated media
Article
published earlier
spellingShingle On some problems concerning the nonlinear infiltration in unsaturated media
Marinoschi, G.
title On some problems concerning the nonlinear infiltration in unsaturated media
title_full On some problems concerning the nonlinear infiltration in unsaturated media
title_fullStr On some problems concerning the nonlinear infiltration in unsaturated media
title_full_unstemmed On some problems concerning the nonlinear infiltration in unsaturated media
title_short On some problems concerning the nonlinear infiltration in unsaturated media
title_sort on some problems concerning the nonlinear infiltration in unsaturated media
url https://nasplib.isofts.kiev.ua/handle/123456789/169177
work_keys_str_mv AT marinoschig onsomeproblemsconcerningthenonlinearinfiltrationinunsaturatedmedia