On the well-posedness of the kirchhoff string
WebThe multiplicity of positive solutions for Kirchhoff type equations depending on a nonnegative parameter WebWell-posedness and optimal decay rates for the viscoelastic Kirchhoff equation A. Guesmia, S. A. Messaoudi, C. M. Webler abstract: In this paper, we investigate the well-posedness as well as optimal decay rate estimates of the energy associated with a Kirchhoff-Carrier problem in n-dimensional bounded domain under an internal finite …
On the well-posedness of the kirchhoff string
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WebThe aim of this paper is to establish the global well-posedness for Kirchhoff systems. The new approach to the construction of solutions is based on the asymptotic integrations for … WebThe Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data.
WebAbstract In this paper, we investigate vibration control for an axially moving Kirchhoff string. ... (PDE-ODE) and a novel energy like function, the well-posedness and exponential stability of the closed-loop system are established by means of the Faedo-Galerkin method and the Lyapunov method. Web16 de jul. de 2024 · We investigate well-posedness, regularity and asymptotic behavior of parabolic Kirchhoff equations on bounded domains of , N ⩾ 2, with non-homogeneous flux boundary conditions of Neumann or Robin type. The data in the problem satisfy (f, g, u(0)) ∈ L 2 (Ω) × L 2 (∂Ω) × H 1 (Ω).Approximated solutions are constructed using time …
Web1 de ago. de 2024 · Abstract. In this work, the initial-boundary value problem is considered for the dynamic Kirchhoff string equation u t t-(α (t) + β ∫-1 1 u x 2 d x) u x x = f.Here α (t) is a continuously differentiable function, α (t) ≥ c 0 > 0 and 𝛽 is a positive constant. For solving this problem approximately, a symmetric three-layer semi-discrete scheme with ... Web5 de abr. de 2024 · In this paper, we prove the global well-posedness for the incompressible magnetohydrodynamics (MHD) equations in the three-dimensional unbounded domain Ω:=R+×R2.
Web20 de nov. de 2024 · The Kirchhoff string and its treatment in scales of Banach spaces 2nd Workshop on Functional-Analytic Methods in Complex Analysis (Trieste) (Singapore: World Scientific) Google Scholar [3] Arosio A and Panizzi S 1996 On the well-posedness of the Kirchhoff string Trans. Am. Math. Soc. 348 305–30. Crossref Google Scholar
Web13 de nov. de 2012 · Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems. T. Matsuyama, Michael Ruzhansky. Mathematics. 2014. This article is devoted to review the known results on global well-posedness for the Cauchy problem to the Kirchhoff equation and Kirchhoff systems with small data. Similar results will be … nox測定器 ポータブルWebAbstract. We consider the Kirchhoff equation ∂ t t u − Δ u ( 1 + ∫ T d ∇ u 2) = 0 on the d -dimensional torus T d, and its Cauchy problem with initial data u ( 0, x), ∂ t u ( 0, x) of size ε in the Sobolev class. The effective equation for the dynamics at the quintic order, obtained in previous papers by quasilinear normal form ... nox ログインできないWebThis paper considers nonlinear Kirchhoff equation with Kelvin–Voigt damping. This model is used to describe the transversal motion of a stretched string. The existence of smooth stationary solutions of nonlinear Kirchhoff equation has been studied widely. In the present contribution, we prove that a class of stationary solutions is asymptotic stable by … agrafametal