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Título:
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On a nonlocal quasilinear parabolic model related to a current-carrying stellarator
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Autores:
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Díaz Díaz, Jesús Ildefonso ;
Lerena Guil, María Belen ;
Padial Molina, Juan Francisco
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier Science Ltd, 2002
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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/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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An initial-boundary value problem for the nonlinear elliptic–parabolic equation (_(u))t ?_u = G(u)(t, x)+J(u)(t, x) is considered. Here _(s) = min(s, 0) = ?s?, G and J are nonlocal operators. This problem arises in the study of magnetic confinement of plasma in a stellarator device. An existence theorem of a weak solution defined in this paper is proved. In the course of the proof of the existence theorem with the help of the replacement of _(s) by __(s) = _s+ ?s?, a family of regularized parabolic equations is constructed. It is established that the family of solutions of the regularized problems converges as _!0 to the solution of the original initial-boundary value problem. The solvability of the regularized problem with the help of Galerkin’s method is proved.
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En línea:
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https://eprints.ucm.es/id/eprint/12373/1/2001onalocal.pdf
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