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The Non-Homogeneous Wave Equation in Non-Cylindrical Domains
We prove the existence and uniqueness of a global regular solution to the mixed problem for the nonhomogeneous wave equation in a noncylindrical domain using a hiperbolic nonsingular smooth transformation of the original problem to a nonlinear hyperbolic
N.A Lar'kin, M.H. Simões
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The wave equation with internal control in non-cylindrical domains
In this paper, we shall be concerned with interior controllability for a one-dimensional wave equation in a domain with moving boundary. When the speed of the moving endpoint is less than a certain constant which is less than the characteristic speed, we
Lizhi Cui
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Self-Consistent Field Modeling of Bottle-Brush with Aggrecan-like Side Chain [PDF]
Bottle-brush polymers with aggrecan-like side chains represent a class of biomimetic macromolecules that replicate key structural and functional features of natural complexes of aggrecans with hyaluronic acid (HA) which are the major components of ...
Ivan V. Mikhailov +3 more
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New energy effect in non-cylindrical domains with a thermally insulated moving boundary
Objectives. To develop mathematical model representations of the energy effect in non-cylindrical domains having a thermally insulated moving boundary; to introduce a new boundary condition for thermal insulation of a moving boundary both for locally ...
E. M. Kartashov
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Dissipative Boussinesq equations on non-cylindrical domains in R^n
This article concerns the initial-boundary value problem for the nonlinear Boussinesq equations on time dependent domains in $mathbb{R}^n$ with $1leq n leq 4$.
Haroldo R. Clark +3 more
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Exact controllability problem of a wave equation in non-cylindrical domains
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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Throat length effect on the flow patterns in off-design conical nozzles [PDF]
In the present work, a flow field study was performed for off-design conical nozzles with non-circular cylindrical throat sections such as those found in experimental sounding rocket motor applications. The flow field was simulated with the RANS model in
Tolentilo San Luis, Mirez Jorge
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An extension of Rothe’s method to non-cylindrical domains [PDF]
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Kuliev, Komil, Persson, Lars-Erik
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Magnetic Configurations in Modulated Cylindrical Nanowires
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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Weak solutions of parabolic equations in non-cylindrical domains [PDF]
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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