Results 241 to 250 of about 52,070 (265)

An optimal control problem for a parabolic equation in non-cylindrical domains

Systems & Control Letters, 1988
The authors study an optimal control problem for a parabolic equation with homogeneous Dirichlet data described by \[ (1)\quad (\partial /\partial t)y(t,x)=\Delta y(t,x)+u(t,x),\quad t\geq 0,\quad x\in \Omega_ t, \] \[ y(0,x)=y_ 0(x),\quad x\in \Omega_ 0,\quad y(t,x)=0,\quad t\geq 0,\quad x\in \Gamma_ t. \] Here, \(\Omega_ t\) is a bounded open set of \
Da Prato, G., Zolésio, J. P.
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Beam evolution equation with variable coefficients in non‐cylindrical domains

Mathematical Methods in the Applied Sciences, 2007
AbstractIn this article, we present results concerning with the existence of global solutions and a rate decay estimate for energy associated with an initial and boundary value problem for a beam evolution equation with variable coefficients in non‐cylindrical domains. Copyright © 2007 John Wiley & Sons, Ltd.
C. S. Q. De Caldas, J. Límaco, R. K. Barreto   +2 more
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$ L_p$-solubility of the Dirichlet problem for the heat equation in non-cylindrical domains

Sbornik: Mathematics, 2002
This paper deals with the \(L^p\)-solvability of the Dirichlet problem for the heat equation in non-cylindrical domains with characteristic points at the boundary. The author studies the first boundary value problem in weighted \(L^p\)-spaces. He proposes an approach, which enables him to find a necessary and sufficient condition for the unique ...
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Properties of the Solution of a Problem for a Pseudoparabolic Equation in a Non‐Cylindrical Domain

Mathematical Methods in the Applied Sciences
ABSTRACT In this paper, we investigate a boundary value problem for a third‐order pseudoparabolic equation posed in a non‐cylindrical domain. Unlike most existing studies that are restricted to rectangular domains, our analysis focuses on a non‐cylindrical domain with respect to the time variable, which requires the development of new
Myrzagali Ospanov, Akerke Merzetkhan
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On the magnetohydrodynamic type equations in a new class of non-cylindrical domains

1999
The existence and uniqueness theorems are presented for the system of partial differential equations describing the motion of an incompressible magnetohydrodynamic fluid of finite electrical conductivity in the case of no external forces except hydrostatic pressure. The spatial domain is non-cylindrically symmetric.
BERSELLI, LUIGI CARLO, FERREIRA J.
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Nonlinear vibration analysis of the rotating hard-coating cylindrical shell based on the domain decomposition method

Thin-Walled Structures, 2021
Kunpeng Xu, Dongxu Du
exaly  

Analytical solutions of Laplace's equation for layered media in a cylindrical domain and its application in seepage analyses

International Journal of Mechanical Sciences, 2020
Jianhong Jiang
exaly  

Magnetization Dynamics of Domain Walls in Cylindrical Nanowires

Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 2023
Chandrasekhar Murapaka, Arabinda Haldar
exaly  

Exact controllability of the wave equation in non cylindrical domains

Summary: We study the exact boundary controllability of the wave equation \(u''- \Delta u=0\) in a non cylindrical domain of \({\mathbf R}^{n+1}\) which is the union of dilatations and contractions of a bounded open of \({\mathbf R}^ n\).
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Analytical solutions to two-dimensional advection–dispersion equation in cylindrical coordinates in finite domain subject to first- and third-type inlet boundary conditions

Journal of Hydrology, 2011
Chen-Wuing Liu, Jui-Sheng Chen, Ching-Ping Liang   +2 more
exaly