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Stationary Kirchhoff equations with powers
Advances in Calculus of Variations, 2016Abstract We discuss existence of solutions, compactness and stability properties in closed manifolds for the critical Kirchhoff equations ( a
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ON THE NONLINEAR TIMOSHENKO-KIRCHHOFF BEAM EQUATION
Chinese Annals of Mathematics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Kirchhoff migration using eikonal equation traveltimes
GEOPHYSICS, 1994The use of ray shooting followed by interpolation of traveltimes onto a regular grid is a popular and robust method for computing diffraction curves for Kirchhoff migration. An alternative to this method is to compute the traveltimes by directly solving the eikonal equation on a regular grid, without computing raypaths. Solving the eikonal equation on
Samuel H. Gray, William P. May
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The fourth algebraic integral of kirchhoff's equations
Journal of Applied Mathematics and Mechanics, 2000The 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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Kirchhoff’s Insufficiently-Celebrated Equations of Motion
2021Gustav Robert Kirchhoff (1824–1887) made pioneering contributions to physics and engineering. His most famous contributions were in electrical circuits, black body radiation, elasticity, and spectroscopy.
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The Cauchy problem for Kirchhoff equations
Rendiconti del Seminario Matematico e Fisico di Milano, 1992Various 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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The Kirchhoff Equation with Gevrey Data
2017In 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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Linear invariant relations of Kirchhoff's equations
Journal of Applied Mathematics and Mechanics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Localized RBF methods for modeling infiltration using the Kirchhoff-transformed Richards equation
Engineering Analysis With Boundary Elements, 2023MOHAMED BOUJOUDAR, Abdelaziz Beljadid
exaly

