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- Mixed_boundary_condition abstract "In mathematics, a mixed boundary condition for a partial differential equation defines a boundary value problem in which the solution of the given equation is required to satisfy different boundary conditions on disjoint parts of the boundary of the domain where the condition is stated. Precisely, in a mixed boundary value problem, the solution is required to satisfy a Dirichlet or a Neumann boundary condition in a mutually exclusive way on disjoint parts of the boundary. For example, given a solution u to a partial differential equation on a domain Ω with boundary ∂Ω, it is said to satisfy a mixed boundary condition if, consisting ∂Ω of two disjoint parts, Γ1 and Γ2, such that ∂Ω = Γ1 ∪ Γ2, u verifies the following equations:where u0 and g are given functions defined on those portions of the boundary.The mixed boundary condition differs from the Robin boundary condition in that this last one requires a linear combination, possibly with pointwise variable coefficients, of the Dirichlet and the Neumann bondary value conditions to be satisfied on the whole boundary of a given domain.".
- Mixed_boundary_condition thumbnail Mixed_boundary_conditions.svg?width=300.
- Mixed_boundary_condition wikiPageExternalLink p125.
- Mixed_boundary_condition wikiPageID "2784886".
- Mixed_boundary_condition wikiPageRevisionID "606041357".
- Mixed_boundary_condition hasPhotoCollection Mixed_boundary_condition.
- Mixed_boundary_condition sign Stanisław_Zaremba_(mathematician).
- Mixed_boundary_condition source ".".
- Mixed_boundary_condition text "M. Wirtinger, dans une conversation privée, a attiré mon attention sur le probleme suivant: déterminer une fonction vérifiant l'équation de Laplace dans un certain domaine étant donné, sur une partie de la frontière, les valeurs périphériques de la fonction demandée et, sur le reste de la frontière du domaine considéré, celles de la dérivée suivant la normale. Je me propose de faire connaitre une solution très générale de cet intéressant problème.".
- Mixed_boundary_condition subject Category:Boundary_conditions.
- Mixed_boundary_condition subject Category:Partial_differential_equations.
- Mixed_boundary_condition type Abstraction100002137.
- Mixed_boundary_condition type BoundaryCondition106755776.
- Mixed_boundary_condition type BoundaryConditions.
- Mixed_boundary_condition type Communication100033020.
- Mixed_boundary_condition type Condition106755568.
- Mixed_boundary_condition type DifferentialEquation106670521.
- Mixed_boundary_condition type Equation106669864.
- Mixed_boundary_condition type MathematicalStatement106732169.
- Mixed_boundary_condition type Message106598915.
- Mixed_boundary_condition type PartialDifferentialEquation106670866.
- Mixed_boundary_condition type PartialDifferentialEquations.
- Mixed_boundary_condition type Postulate106753299.
- Mixed_boundary_condition type Premise106753800.
- Mixed_boundary_condition type Proposition106750804.
- Mixed_boundary_condition type Statement106722453.
- Mixed_boundary_condition comment "In mathematics, a mixed boundary condition for a partial differential equation defines a boundary value problem in which the solution of the given equation is required to satisfy different boundary conditions on disjoint parts of the boundary of the domain where the condition is stated. Precisely, in a mixed boundary value problem, the solution is required to satisfy a Dirichlet or a Neumann boundary condition in a mutually exclusive way on disjoint parts of the boundary.".
- Mixed_boundary_condition label "Condición de frontera mixta".
- Mixed_boundary_condition label "Condition aux limites mêlée".
- Mixed_boundary_condition label "Condição de contorno mista".
- Mixed_boundary_condition label "Mixed boundary condition".
- Mixed_boundary_condition label "混合境界条件".
- Mixed_boundary_condition sameAs Condición_de_frontera_mixta.
- Mixed_boundary_condition sameAs Condition_aux_limites_mêlée.
- Mixed_boundary_condition sameAs 混合境界条件.
- Mixed_boundary_condition sameAs Condição_de_contorno_mista.
- Mixed_boundary_condition sameAs m.082ktj.
- Mixed_boundary_condition sameAs Q2992268.
- Mixed_boundary_condition sameAs Q2992268.
- Mixed_boundary_condition sameAs Mixed_boundary_condition.
- Mixed_boundary_condition wasDerivedFrom Mixed_boundary_condition?oldid=606041357.
- Mixed_boundary_condition depiction Mixed_boundary_conditions.svg.
- Mixed_boundary_condition isPrimaryTopicOf Mixed_boundary_condition.
