Mathematics of oil spills: existence, uniqueness, and stability of solutions
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Resumen
Se modela la propagación de petróleo derramado como una mancha bidimensional en la superficie de una área limitada del mar, cuando hay un flujo no nulo del petróleo a través de la frontera abierta. Se sugieren las condiciones para las partes de entrada y salida de la frontera del dominio, y se demuestra la existencia y la unicidad de la solución del problema de transporte de petróleo y de su adjunto en las clases de funciones generalizadas. También se muestra que las soluciones de cada uno de los problemas son estables en la presencia de errores en las condiciones iniciales, y en la tasa de emisión de petróleo desde el buque accidentado. Se sugieren las estimaciones directas y adjuntas de la concentración de petróleo para evaluar las consecuencias de un accidente que involucre el derrame de petróleo.
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