Mathematics of oil spills: existence, uniqueness, and stability of solutions
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| Natura: | Artículo científico |
| Lingua: | en |
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Universidad Nacional Autónoma de México
1999
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| _version_ | 1876481120571228160 |
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| author | David Parra Guevara |
| author_facet | David Parra Guevara |
| contents | Mathematics of oil spills: existence, uniqueness, and stability of solutions David Parra Guevara Yuri N. Skiba Ciencias de la Tierra existence pollution estimates oil spill and transport uniqueness and stability of solutions An oil spill is modeled as a two-dimensional slick on a limited sea area when there is a nonzero oil flux through the openboundary. Conditions are suggested for the input and output parts of the domain boundary, and the unique solvability of the oiltransport problem and its adjoint is proved for classes of generalized functions. It is also shown that solutions of the problem arestable in the presence of errors in the initial condition and in the oil emission rate from a damaged tanker. Direct and adjoint oilconcentration estimates are suggested to evaluate the consequences of an accident involving oil spillage. 1999 artículo científico 0016-7169 https://www.redalyc.org/articulo.oa?id=56838206 en http://www.redalyc.org/revista.oa?id=568 Geofísica Internacional application/pdf Universidad Nacional Autónoma de México Geofísica Internacional (México) Num.2 Vol.38 |
| format | Artículo científico |
| id | redalyc_56838206 |
| institution | Redalyc |
| language | en |
| publishDate | 1999 |
| publisher | Universidad Nacional Autónoma de México |
| spellingShingle | Mathematics of oil spills: existence, uniqueness, and stability of solutions David Parra Guevara Ciencias de la Tierra existence pollution estimates oil spill and transport uniqueness and stability of solutions Mathematics of oil spills: existence, uniqueness, and stability of solutions David Parra Guevara Yuri N. Skiba Ciencias de la Tierra existence pollution estimates oil spill and transport uniqueness and stability of solutions An oil spill is modeled as a two-dimensional slick on a limited sea area when there is a nonzero oil flux through the openboundary. Conditions are suggested for the input and output parts of the domain boundary, and the unique solvability of the oiltransport problem and its adjoint is proved for classes of generalized functions. It is also shown that solutions of the problem arestable in the presence of errors in the initial condition and in the oil emission rate from a damaged tanker. Direct and adjoint oilconcentration estimates are suggested to evaluate the consequences of an accident involving oil spillage. 1999 artículo científico 0016-7169 https://www.redalyc.org/articulo.oa?id=56838206 en http://www.redalyc.org/revista.oa?id=568 Geofísica Internacional application/pdf Universidad Nacional Autónoma de México Geofísica Internacional (México) Num.2 Vol.38 |
| title | Mathematics of oil spills: existence, uniqueness, and stability of solutions |
| topic | Ciencias de la Tierra existence pollution estimates oil spill and transport uniqueness and stability of solutions |
| url | https://www.redalyc.org/articulo.oa?id=56838206 |