Título:
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On the Newton partially flat minimal resistance body type problems
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Autores:
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Díaz Díaz, Jesús Ildefonso ;
Comte, M.
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Tipo de documento:
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texto impreso
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Editorial:
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European Mathematical Society, 2005
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometría diferencial
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Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
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Tipo = Artículo
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Resumen:
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We study the flat region of stationary points of the functional integral(Omega) F(|del u(x)|) dx under the constraint u 0 is a given constant. The problem generalizes the classical minimal resistance body problems considered by Newton. We construct a family of partially flat radial solutions to the associated stationary problem when Omega is a ball. We also analyze some other qualitative properties. Moreover, we show the uniqueness of a radial solution minimizing the above mentioned functional. Finally, we consider nonsymmetric domains Omega and provide sufficient conditions which ensure that a stationary solution has a flat part.
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En línea:
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https://eprints.ucm.es/id/eprint/15456/1/51.pdf
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