Results 31 to 40 of about 5,838 (166)

The impact of the Dirichlet boundary conditions on the convergence of the discretized system of nonlinear equations for potential problems

Computer Assisted Methods in Engineering and Science, 2017
The purpose of this paper is the analysis of numerical approaches obtained by describing the Dirichlet boundary conditions on different connected components of the computational domain boundary for potential flow, provided that the domain is a rectangle.
Jan Kucwaj
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A Stochastic Conservation Law with Nonhomogeneous Dirichlet Boundary Conditions [PDF]

Acta Mathematica Vietnamica, 2015
This paper discusses the initial-boundary value problem (with a nonhomogeneous boundary condition) for a multi-dimensional scalar first-order conservation law with a multiplicative noise. One introduces a notion of kinetic formulations in which the kinetic defect measures on the boundary of a domain are truncated.
Kobayasi, Kazuo, Noboriguchi, Dai
openaire   +3 more sources

On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems

International Journal of Mathematics and Mathematical Sciences, 2012
We prove the existence and uniqueness of solutions for a family of discrete boundary value problems by using discrete's Wirtinger inequality. The boundary condition is a combination of Dirichlet and Neumann boundary conditions.
Blaise Kone, Stanislas Ouaro
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Existence and Uniqueness Results for Difference Φ-Laplacian Boundary Value Problems

Journal of Mathematical and Fundamental Sciences, 2013
This paper is devoted to study the existence and uniqueness of solutions to nonlinear difference Φ-Laplacian boundary value problems with mixed and Dirichlet boundary conditions.
K. L. Bondar, V. C. Borkar, S. T. Patil
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Diffuse Domain Methods with Dirichlet Boundary Conditions

CoRR
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.
Luke Benfield, Andreas Dedner
openaire   +2 more sources

Scalar boundary conditions in hyperscaling violating geometry

Physics Letters B, 2016
We study the possible boundary conditions of scalar field modes in a hyperscaling violation (HV) geometry with Lifshitz dynamical exponent z (z≥1) and hyperscaling violation exponent θ (θ≠0). For the case with θ>0, we show that in the parameter range 1≤z≤
Jian-Pin Wu, Xiao-Mei Kuang
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$p$-biharmonic equation with Hardy–Sobolev exponent and without the Ambrosetti–Rabinowitz condition

Electronic Journal of Qualitative Theory of Differential Equations, 2020
This paper is concerned with the existence and multiplicity to $p$-biharmonic equation with Sobolev–Hardy term under Dirichlet boundary conditions and Navier boundary conditions, respectively.
Weihua Wang
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Remarks on the Fractional Laplacian with Dirichlet Boundary Conditions and Applications [PDF]

International Mathematics Research Notices, 2016
We prove nonlinear lower bounds and commutator estimates for the Dirichlet fractional Laplacian in bounded domains. The applications include bounds for linear drift-diffusion equations with nonlocal dissipation and global existence of weak solutions of critical surface quasi-geostrophic equations.
Constantin, Peter, Ignatova, Mihaela
openaire   +2 more sources

A mathematical model for the use of energy resources: a singular parabolic equation

Mathematical Modelling and Analysis, 2020
We consider a singular parabolic equation, for , arising in symmetric boundary layer flows. Here is a bounded domain with C2 boundary is bounded, and T > 0 is some fixed time.
Daniel López-García, Rosa Pardo
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Numerical solutions for optimal control problem governed by elliptic system on Lipschitz domains

Journal of Taibah University for Science, 2019
In this paper, an optimal boundary control problem for a distributed elliptic system on Lipschitz domains with boundary homogeneous Dirichlet conditions and independently with Neumann conditions is analysed.
G. M. Bahaa, S. Khidr
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