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Boundary integral equation methods for Lipschitz domains in linear elasticity

Comptes Rendus. Mathématique
A review of stable boundary integral equation methods for solving the Navier equation with either Dirichlet or Neumann boundary conditions in the exterior of a Lipschitz domain is presented.
Le Louër, Frédérique
doaj   +1 more source

An Integral Equation Approach to the Irreversible Investment Problem with a Finite Horizon

Mathematics, 2020
This paper studies an irreversible investment problem under a finite horizon. The firm expands its production capacity in irreversible investments by purchasing capital to increase productivity.
Junkee Jeon, Geonwoo Kim
doaj   +1 more source

Boundary conditions for integrable equations [PDF]

Journal of Physics A: Mathematical and General, 1997
Summary: The problem of constructing boundary conditions for nonlinear equations compatible with higher symmetries is considered. In particular, this problem is discussed for the sine-Gordon, Jiber-Shabat, Liouville and KdV equations. New results are obtained for the last two ones.
Adler V., Gürel, B., Gürses, M., Habibullin I.   +3 more
openaire   +3 more sources

Problems with Missing Tricomi Condition and Analog of Frankl Condition for One Class of Mixed Type Equations

Mathematics
In this paper, for a mixed elliptic-hyperbolic type equation with various degeneration orders and singular coefficients, theorems of uniqueness and existence of the solution to the problem with a missing Tricomi condition on boundary characteristic and ...
Assel Makulbay, Mirakhmat Mirsaburov, Abdumauvlen Berdyshev, Gulbakhor Mirsaburova   +3 more
doaj   +1 more source

Rothe's Method for the Heat Equation and Boundary Integral Equations

Journal of Integral Equations and Applications, 1997
The paper deals with the exterior initial boundary value problem for the heat equation in two space variables in the finite time interval. Discretizing the time derivative by the Euler backward difference quotient (Rothe's method) a system \((B_n)\) of Dirichlet boundary value problems is obtained.
Chapko, Roman, Kress, Rainer
openaire   +2 more sources

On the Modified Jump Problem for the Laplace Equation in the Exterior of Cracks in a Plane

International Journal of Mathematics and Mathematical Sciences, 2012
The boundary value problem for the Laplace equation outside several cracks in a plane is studied. The jump of the solution of the Laplace equation and the boundary condition containing the jump of its normal derivative are specified on the cracks.
P. A. Krutitskii, A. Sasamoto
doaj   +1 more source

Existence and Uniqueness of the Solution for a Time-Fractional Diffusion Equation with Robin Boundary Condition

Abstract and Applied Analysis, 2011
Existence and uniqueness of the solution for a time-fractional diffusion equation with Robin boundary condition on a bounded domain with Lyapunov boundary is proved in the space of continuous functions up to boundary.
Jukka Kemppainen
doaj   +1 more source

Author Correction: Boundary integral equation method for resonances in gradient index cavities designed by conformal transformation optics. [PDF]

Sci Rep, 2021
Ryu JW, Cho J, Lee SY, Kim Y, Park SJ, Rim S, Choi M, Kim I.   +7 more
europepmc   +1 more source

Development and Application of Two-Dimensional Numerical Tank using Desingularized Indirect Boundary Integral Equation Method

한국해양공학회지, 2018
In this study, a two-dimensional fully nonlinear transient wave numerical tank was developed using a desingularized indirect boundary integral equation method.
Seunghoon Oh, Seok-kyu Cho, Dongho Jung, Hong Gun Sung   +3 more
doaj   +1 more source

Conformal Mapping of Unbounded Multiply Connected Regions onto Canonical Slit Regions

Abstract and Applied Analysis, 2012
We present a boundary integral equation method for conformal mapping of unbounded multiply connected regions onto five types of canonical slit regions.
Arif A. M. Yunus, Ali H. M. Murid, Mohamed M. S. Nasser   +2 more
doaj   +1 more source