Results 1 to 10 of about 32,657 (175)
The wave equation with locally distributed control in non-cylindrical domain [PDF]
Boundary Value Problems, 2019 This paper is concerned with exact internal controllability for a one-dimensional wave equation in a non-cylindrical domain. This equation characterizes the motion of a string with a fixed endpoint and the other moving one.
Lizhi Cui
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Exact controllability problem of a wave equation in non-cylindrical domains
Electronic Journal of Differential Equations, 2015 Let $\alpha: [0, \infty)\to(0, \infty)$ be a twice continuous differentiable function which satisfies that $\alpha(0)=1$, $\alpha'$ is monotone and ...
Hua Wang, Yijun He, Shengjia Li
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Exact Null Controllability of a One-Dimensional Wave Equation with a Mixed Boundary
Mathematics, 2023 In this paper, exact null controllability of one-dimensional wave equations in non-cylindrical domains was discussed. It is different from past papers, as we consider boundary conditions for more complex cases.
Lizhi Cui, Jing Lu
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Mathematics, 2023 In this paper, by applying the Hilbert Uniqueness Method in a non-cylindrical domain, we prove the exact null controllability of one wave equation with a moving boundary.
Lizhi Cui, Jing Lu
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Magnetic Configurations in Modulated Cylindrical Nanowires
Nanomaterials, 2021 Cylindrical magnetic nanowires show great potential for 3D applications such as magnetic recording, shift registers, and logic gates, as well as in sensing architectures or biomedicine.
Cristina Bran +5 more
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An extension of Rothe’s method to non-cylindrical domains [PDF]
Applications of Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuliev, Komil, Persson, Lars-Erik
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Solution of the boundary value problem of heat conduction in a cone [PDF]
Opuscula Mathematica, 2022 In the paper we consider the boundary value problem of heat conduction in a non-cylindrical domain, which is an inverted cone, i.e. in the domain degenerating into a point at the initial moment of time.
Murat Ramazanov +2 more
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Weak solutions of parabolic equations in non-cylindrical domains [PDF]
Proceedings of the American Mathematical Society, 1997 In their classical work, Ladyzhenskaya and Ural ′ ’ tseva gave a definition of weak solution for parabolic equations in cylindrical domains. Their definition was broad enough to guarantee the solvability of all such problems but narrow enough to guarantee the uniqueness of these solutions.
Brown, Russell M. +2 more
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Pre-stack elastic reverse time migration in tunnels based on cylindrical coordinates
Journal of Rock Mechanics and Geotechnical Engineering, 2022 Seismic forward-prospecting in tunnels is an important step to ensure excavation safety. Nowadays, most advanced imaging techniques in seismic exploration involve calculating the solution of elastic wave equation in a certain coordinate system.
Yuxiao Ren +4 more
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p-Laplacian wave equations in non-cylindrical domains
, 2021 This paper is devoted to studying the stability of p-Laplacian wave equations with strong damping in non-cylindrical domains. The method of proof based on some estimates for time-varying coefficients rising from moving boundary and a modified Kormonik inequality.
Liu, Lingyang, Gao, Hang
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