Results 11 to 20 of about 6,636 (211)

Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow

International Journal of Differential Equations, 2022
In this paper, we will study the existence of strong solutions for a nonlinear system of partial differential equations arising in convective flow, modeling a phenomenon of mixed convection created by a heated and diving plate in a porous medium ...
Khaled Bouazzaoui, Mohammed Aiboudi, Sameh Elsayed Ahmed   +2 more
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A primal dual mixed finite element method for inverse identification of the diffusion coefficient and its relation to the Kohn-Vogelius penalty method

Selecciones Matemáticas, 2023
We revisit the celebrated Kohn-Vogelius penalty method and discuss how to use it for the unique continuation problem where data is given in the bulk of the domain.
Erik Burman
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Elliptic Arc Fitting for the Shape Control System of Silicon Single Crystal Growth

IEEE Access, 2020
In the vision-based shape control system of silicon single crystal (SSC) growth, shape parameters are used as the control variables to make the grown SSC approximate to a perfect cylinder.
Pengliang Li, Ding Liu
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Multiplicity of Positive Solutions for a Second-Order Elliptic System of Kirchhoff Type

Abstract and Applied Analysis, 2014
We study elliptic problems of Kirchhoff type in Ω⊂RN  (N≥3). Using variational tools, we establish the existence of at least two nontrivial and nonnegative solutions.
S. Khademloo, E. Valipour, A. Babakhani
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Dirichlet type problem for the system of elliptic equations, which order degenerate at a line

Nonlinear Analysis, 2014
Dirichlet type problem in a bounded domain for the system of linear elliptic equations of second order, which degenerate into first order system at a line crossing the domain, is studied.
Stasys Rutkauskas
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The explicit solution of the Neumann boundary value problem for Bauer differential equation in circular domains [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
The article is devoted to the boundary value problem of Neumann problem's type for solutions of one second-order elliptic differential equation.
Rasulov, Karim Magomedovich, Nagornaya, Tatiana Романовна   +1 more
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Existence of Solutions for a Coupled System of Second and Fourth Order Elliptic Equations

Abstract and Applied Analysis, 2014
The generalized quasilinearization technique is applied to obtain a monotone sequence of iterates converging uniformly and quadratically to a solution of a coupled system of second and fourth order elliptic equations.
Fanglei Wang
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NONTRIVIAL RADIAL SOLUTIONS FOR A SYSTEM OF SECOND ORDER ELLIPTIC EQUATIONS

Journal of Applied Analysis & Computation, 2022
Summary: In this paper we use the topological degree and the Krein-Rutman theorem to investigate the existence of nontrivial radial solutions for a system of second order elliptic equations. Our results are obtained under some conditions involving the eigenvalues of a relevant linear operator.
Zhang, Haiyan, Xu, Jiafa, O'Regan, Donal
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On energy functionals for second order elliptic systems with constant coefficients

Ufa Mathematical Journal, 2022
12 ...
Astamur Olegovich Bagapsh, Konstantin Yurievich Fedorovskiy   +1 more
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Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations

Advances in Difference Equations, 2019
In this paper, we suggest a new exponential implicit method based on full step discretization of order four for the solution of quasilinear elliptic partial differential equation of the form A(x,y,z)zxx+C(x,y,z)zyy=k(x,y,z,zx,zy) $A ( x,y,z ) z_{xx} +C (
R. K. Mohanty, Geetan Manchanda, Arshad Khan   +2 more
doaj   +1 more source