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...
Збережено в:
| Дата: | 2004 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
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| Назва видання: | Нелинейные граничные задачи |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/169177 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-169177 |
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dspace |
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irk-123456789-1691772020-06-08T01:26:04Z On some problems concerning the nonlinear infiltration in unsaturated media Marinoschi, G. 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. 2004 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/169177 en Нелинейные граничные задачи Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Marinoschi, G. |
| spellingShingle |
Marinoschi, G. On some problems concerning the nonlinear infiltration in unsaturated media Нелинейные граничные задачи |
| author_facet |
Marinoschi, G. |
| author_sort |
Marinoschi, G. |
| title |
On some problems concerning the nonlinear infiltration in unsaturated media |
| title_short |
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_sort |
on some problems concerning the nonlinear infiltration in unsaturated media |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2004 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/169177 |
| 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. |
| series |
Нелинейные граничные задачи |
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2023-10-18T22:24:36Z |
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2023-10-18T22:24:36Z |
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