Results 191 to 200 of about 3,079 (223)

An Inverse Problem for the Stationary Kirchhoff Equation

2012
This work is concerned with the development of numerical methods and algorithms for solving the inverse problem for parameter identification from over-determined data in Kirchhoff plate equations. A technique called Method of Variational Imbedding is used for solving the inverse problem.
Tchavdar T. Marinov, Rossitza S. Marinova   +1 more
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Multiple nontrivial solutions to a -Kirchhoff equation

Nonlinear Analysis: Theory, Methods & Applications, 2012
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Liu, Duchao, Zhao, Peihao
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The fourth algebraic integral of kirchhoff's equations

Journal of Applied Mathematics and Mechanics, 2000
The paper deals with the Steklov problem (1893) to determine all cases when the equations of motion of a rigid body in ideal fluid admit the fourth integral in the form of a homogeneous polynomial of arbitrary degree. Some symmetry conditions are established under which all the cases of existence of such an integral are exhausted by classical ones.
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An Approximate Algorithm for a Kirchhoff Wave Equation

SIAM Journal on Numerical Analysis, 2009
The initial boundary value problem for a hyperbolic-type quasilinear equation $w_{tt}=\varphi(\int_0^\pi w_x^2dx)w_{xx}$ is considered. Its solution is derived by means of a numerical algorithm consisting of the projection method and the difference method for approximation with respect to spatial and time variables, while the resulting discrete system ...
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A New Integrable Case for the Kirchhoff Equation

Theoretical and Mathematical Physics, 2001
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Kirchhoff equations in $B^{k}_{\Delta}$ classes

Revista Matemática Complutense, 2009
The author studies the global solvability of the Cauchy problem for the Kirchhoff equation with non-ultradifferentiable initial data and forcing term. More precisely, he introduces the subclass \(B^k_\Delta\) of \[ H^{1+{k\over 2}}\times H^{{k\over 2}}\times L^1_{\text{loc}}([0,\infty); H^{{k\over 2}}) \] and proves for \(k= 1,2\) global existence and ...
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A boundary condition with memory for Kirchhoff plates equations

Applied Mathematics and Computation, 2004
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Mauro de Lima Santos, F. Junior
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The Cauchy problem for Kirchhoff equations

Rendiconti del Seminario Matematico e Fisico di Milano, 1992
Various mathematical results on the so called Kirchhoff equations are reviewed and several techniques employed are confronted. After a short exposition of the original work of Kirchhoff, the three main kinds of existence results are discussed as follows: i) the local existence in Sobolev spaces, ii) the global existence for analytic initial data, and ...
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One-dimensional Kirchhoff equation

Nonlinear Analysis: Theory, Methods & Applications, 2002
The paper deals with the Cauchy problem of the form \[ \begin{gathered} u_{tt} (x,t)-\gamma \left(\int^\infty_{-\infty} u^2_x(x,t)dx \right)u_{xx}(x,t) =0,\\ u(x,0)= \varphi(x),\;u_t(x,0) =\psi(x),\;x\in \mathbb{R},\end{gathered} \] where \(\gamma: [0,\infty)\to [0,\infty)\) is a given Lipschitz \(C^1\) function, \(\varphi \in C^3(\mathbb{R})\), \(\psi\
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The Kirchhoff Equation with Gevrey Data

2017
In this article the Cauchy problem for the Kirchhoff equation is considered, and the almost global existence of Gevrey space solutions is described.
Tokio Matsuyama, Michael Ruzhansky
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