An integral equation technique for solving mixed boundary value problems
M. L. Pasha (1977)
Applicationes Mathematicae
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Displaying similar documents to “A mixed boundary value problem for Laplace's equation involving a nearly circular disk.”
An integral equation technique for solving mixed boundary value problems
Infinitely many solutions for a mixed boundary value problem
Gabriele Bonanno, Elisabetta Tornatore (2010)
Annales Polonici Mathematici
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The existence of infinitely many solutions for a mixed boundary value problem is established. The approach is based on variational methods.
The jump problem for mixed-type equations with defects on the type change line.
Maher, Ahmed (2010)
Boundary Value Problems [electronic only]
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Steady Boussinesq system with mixed boundary conditions including friction conditions
Tujin Kim (2022)
Applications of Mathematics
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In this paper we are concerned with the steady Boussinesq system with mixed boundary conditions. The boundary conditions for fluid may include Tresca slip, leak, one-sided leak, velocity, vorticity, pressure and stress conditions together and the conditions for temperature may include Dirichlet, Neumann and Robin conditions together. For the problem involving the static pressure and stress boundary conditions, it is proved that if the data of the problem are small enough, then there...
A mixed–FEM and BEM coupling for a three-dimensional eddy current problem
Salim Meddahi, Virginia Selgas (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We study in this paper the electromagnetic field generated in a conductor by an alternating current density. The resulting interface problem (see Bossavit (1993)) between the metal and the dielectric medium is treated by a mixed–FEM and BEM coupling method. We prove that our BEM-FEM formulation is well posed and that it leads to a convergent Galerkin method.
On the mixed partial differential equations in n independent variables
Chaohao Gu (1980)
Journées équations aux dérivées partielles
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Hölder regularity for solutions of mixed boundary value problems containing boundary terms
Maurizio Chicco, Marina Venturino (2006)
Bollettino dell'Unione Matematica Italiana
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We prove Holder regularity for solutions of mixed boundary value problems for a class of divergence form elliptic equations with discontinuous and unbounded coefficients, in the presence of boundary integrals.
Existence and uniqueness for a two-dimensional Ventcel problem modeling the equilibrium of a prestressed membrane
Antonio Greco, Giuseppe Viglialoro (2023)
Applications of Mathematics
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This paper deals with a mixed boundary-value problem of Ventcel type in two variables. The peculiarity of the Ventcel problem lies in the fact that one of the boundary conditions involves second order differentiation along the boundary. Under suitable assumptions on the data, we first give the definition of a weak solution, and then we prove that the problem is uniquely solvable. We also consider a particular case arising in real-world applications and discuss the resulting model. ...
Solution of a nonstationary boundary value problem for internal magnetohydrodynamics waves on the interface of layers of a conducting fluid.
Sozanov, V.G., Muzaev, I.D., Shumakov, N.S. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Smoothness properties of solutions of mixed boundary value problems for elliptic equations in sectionally smooth n-dimensional domains
A. Azzam (1981)
Annales Polonici Mathematici
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Application of complex analysis to second order equations of mixed type
Guo Chun Wen (1998)
Annales Polonici Mathematici
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This paper deals with an application of complex analysis to second order equations of mixed type. We mainly discuss the discontinuous Poincaré boundary value problem for a second order linear equation of mixed (elliptic-hyperbolic) type, i.e. the generalized Lavrent’ev-Bitsadze equation with weak conditions, using the methods of complex analysis. We first give a representation of solutions for the above boundary value problem, and then give solvability conditions via the Fredholm theorem...