Results 61 to 70 of about 5,502 (166)

Wave equation with Dirichlet boundary conditions

, 2017
Partial differential equations derived from relationship between different physical and geometric problems where the function depends on two or more independent variables. Hyperbolic equations are a type of partial differential equations. In this paper, we consider the wave equation as a special form of hyperbolic equations.
Kocaleva, Mirjana, Zlatanovska, Biljana, Stojanova, Aleksandra, Stojkovic, Natasa, Gicev, Vlado   +4 more
openaire   +1 more source

Fractional Sobolev space: Study of Kirchhoff-Schrödinger systems with singular nonlinearity

Cubo
This study extensively investigates a specific category of Kirchhoff-Schrödinger systems in fractional Sobolev space with Dirichlet boundary conditions. The main focus is on exploring the existence and multiplicity of non-negative solutions.
Elhoussain Arhrrabi, Hamza El-Houari
doaj   +1 more source

Diffuse Domain Methods with Dirichlet Boundary Conditions

The solution of partial differential equations (PDEs) on complex domains often presents a significant computational challenge by requiring the generation of fitted meshes. The Diffuse Domain Method (DDM) is an alternative which reformulates the problem on a larger, simple domain where the complex geometry is represented by a smooth phase-field function.
Benfield, Luke, Dedner, Andreas
openaire   +2 more sources

Mean field games of controls with Dirichlet boundary conditions

ESAIM: Control, Optimisation and Calculus of Variations
In this paper, we study a mean-field games system with Dirichlet boundary conditions in a closed domain and in a mean-field game of controls setting, that is in which the dynamics of each agent is affected not only by the average position of the rest of the agents but also by their average optimal choice.
Mattia Bongini, Francesco Salvarani
openaire   +3 more sources

Parametric mean curvature evolution with a Dirichlet boundary condition.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1995
Let \(\Omega\) be the unit disc in \(\mathbb{R}^ 2\), \(u_ 0 : \Omega \to \mathbb{R}^ 3\). We investigate the problem of finding a family of maps \(v(.,t) : \Omega \to \mathbb{R}^ 3\), \(t \geq 0\) such that \[ v_ t = g^{ij} v_{x_ i x_ j} \text{ in }\Omega \times (0,\infty),\quad v = u_ 0 \text{ on }\partial \Omega \times (0,\infty), \quad v(0) = u_ 0 \
openaire   +1 more source

Growing sandpile problem with Dirichlet and Fourier boundary conditions

Electronic Journal of Differential Equations, 2017
In this work, we study the Prigozhin model for growing sandpile with mixed boundary conditions and an arbitrary time dependent angle of repose. On one part of the boundary the homogeneous Dirichlet boundary condition is provided, on the other one the ...
Estelle Nassouri, Stanislas Ouaro, Urbain Traore   +2 more
doaj  

Numerical Reconstruction of Time-Dependent Boundary Conditions to 2D Heat Equation on Disjoint Rectangles at Integral Observations

Mathematics
In this paper, two-dimensional (2D) heat equations on disjoint rectangles are considered. The solutions are connected by interface Robin’s-type internal conditions.
Miglena N. Koleva, Lubin G. Vulkov
doaj   +1 more source

On solvability of the initial-boundary value problems for a nonlocal hyperbolic equation with periodic boundary conditions

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper, the solvability of initial-boundary value problems for a nonlocal analogue of a hyperbolic equation in a cylindrical domain is studied. The elliptic part of the considered equation involves a nonlocal Laplace operator, which is introduced
M.T. Baizhanova, B.Kh. Turmetov
doaj   +1 more source

Inequalities among eigenvalues of Sturm–Liouville problems

Journal of Inequalities and Applications, 1999
There are well-known inequalities among the eigenvalues of Sturm–Liouville problems with periodic, semi-periodic, Dirichlet and Neumann boundary conditions.
Kong Q, Wu H, Zettl A, Eastham MSP
doaj  

The Dynamics of Neural Fields on Bounded Domains: An Interface Approach for Dirichlet Boundary Conditions. [PDF]

J Math Neurosci, 2017
Gökçe A, Avitabile D, Coombes S.
europepmc   +1 more source