Results 261 to 270 of about 639,340 (301)

Stability of degenerate heat equation in non-cylindrical/cylindrical domain

Zeitschrift für angewandte Mathematik und Physik, 2019
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Hang Gao, Lingfei Li, Zhuangyi Liu
semanticscholar   +5 more sources

The stability and stabilization of heat equation in non-cylindrical domain

Journal of Mathematical Analysis and Applications, 2021
This paper is addressed to a study of the stability and stabilization of heat equation in non-cylindrical domain. Special solutions of the system are first given by the method of the undetermined function and the similarity variables, which indicate that
Lingfei Li, Hang Gao
semanticscholar   +4 more sources

On the dissipative Boussinesq equation in a non-cylindrical domain

Nonlinear Analysis: Theory, Methods & Applications, 2007
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H. R. Clark, A. T. Cousin, C. L. Frota, J. Límaco   +3 more
semanticscholar   +3 more sources

A semi analytical solution for free vibration analysis of combined spherical and cylindrical shells with non-uniform thickness based on Ritz method

Thin-Walled Structures, 2019
The paper investigated the free vibration of combined spherical-cylindrical-spherical (CSCS) shell with non-uniform thickness based on Ritz method. The energy method and first-order shear deformation theory are adopted to derive the formulas.
Haichao Li, G. Cong, Lei Li, Fuzhen Pang, Jicai Lang   +4 more
semanticscholar   +3 more sources

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 \
G. Prato, J. Zolésio
semanticscholar   +3 more sources

On the regularity of the heat equation solution in non-cylindrical domains: Two approaches

Applied Mathematics and Computation, 2011
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A. Kheloufi, B. Sadallah
semanticscholar   +3 more sources

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 ...
Yu. A. Alkhutov
semanticscholar   +3 more sources

Pullback attractors with finite fractal dimension for a semilinear transfer equation with delay in some non-cylindrical domain

Journal of Differential Equations
H. López-Lázaro, M. J. Nascimento, Carlos R. Takaessu Junior, V. T. Azevedo   +3 more
semanticscholar   +3 more sources

Evolutionary Problems in Non-Cylindrical Domains

2021
This survey article presents an existence theory developed in Bogelein et al. (SIAM J Math Anal 50(3): 3007–3057, 2018) for vector-valued gradient flows of integral functionals in bounded non-cylindrical domains \(E\subset {\mathbb {R}}^n\times [0,T)\).
Bögelein, Verena, Duzaar, Frank, Scheven, Christoph   +2 more
openaire   +2 more sources