On the well-posedness of the kirchhoff string
Web21 de ago. de 2015 · This paper is devoted to proving the almost global solvability of the Cauchy problem for the Kirchhoff equation in the Gevrey space $γ^s_{η,L^2}$. … Web3 Well-posedness 17 1. Introduction The nonlinear vibrations of an elastic string are written in the form of partial integro-differential equations by ρh ∂2u ∂t2 = p0 + Eh 2L ZL 0 ∂u ∂x 2 dx! ∂2u ∂x2 +f, (1.1) for 0
On the well-posedness of the kirchhoff string
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Web12 de jan. de 2016 · We consider Kirchhoff equations with strong damping, namely with a friction term which depends on a power of the “elastic” operator. We address local and … Web16 de abr. de 2014 · In this paper the existence of infinitely many solutions for a class of Kirchhoff-type problems involving the p-Laplacian, with p > 1, is established. By using …
Web10 de nov. de 2005 · The initial boundary value problem is considered for the dynamic string equation . Its solution is found by means of an algorithm, the constituent parts of … 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
WebAbout Center Leadership Special Committee; People Faculty Postdoc Staff Visitor Graduate; Research Research Areas Seminars Conferences; Programs Undergraduate Graduate WebIn Section 3 local existence theorems together with H˙-well-posedness in the sense of Hadamard are discussed. In Section 4 a uniform energy estimate for global in time analytic solutions in a suitable Sobolev space is proved. After that, absolute integrability of time-derivative of the coffit of equation is proved. Section 5
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 …
Web10 de fev. de 1998 · The Kirchhoff quasilinear hyperbolic equation. Abstract Nonlinear Wave Equations, Lecture Notes in Mathematics, 507, Springer-Verlag, Berlin ( 1976) On local solutions of some quasilinear degenerate hyperbolic equations. Funkcial. masshealth bmc loginWeb28 de ago. de 2007 · Arosio A. and Panizzi S. (1996). On the well-posedness of the Kirchhoff string. Trans. Am. Math. Soc. 348: 305–330 Article MATH MathSciNet Google Scholar Bilbao S. and Smith J.O. (2005). Energy conserving finite difference schemes for nonlinear strings. Acustica 91: 299–311 Google Scholar hydrophil asiaWebAbstract We study the 2D linear wave equation with dynamical control on the boundary. New mathematical difficulties appear due to the boundary conditions. By adding some artificial viscosity term, ... hydrophiber bonnWebThis 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 … masshealth assister portalWebThe above problem without source and dissipative terms is called Kirchhoff-type equation when is not a constant function, which was first introduced by Kirchhoff ; it describes the nonlinear vibrations of an elastic string. up to now, there are numerous results related to global well-posedness, including global existence, decay result, and blow-up properties; … hydrophilationWebIn this paper, we study a highly nonlocal parametric problem involving a fractional-type operator combined with a Kirchhoff-type coefficient. ... Arosio and S. Panizzi, On the … hydrophenoseWeb开馆时间：周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆 masshealth blue cross blue shield