Relevant bibliographies by topics / Kirchhof equation

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Academic literature on the topic 'Kirchhof equation'

Author: Grafiati
Published: 4 June 2025
Last updated: 1 August 2025

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Journal articles on the topic "Kirchhof equation"

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Timsina, Ramesh Chandra, Harihar Khanal, and Kedar Nath Uprety. "An Explicit Stabilized Runge–Kutta–Legendre Super Time-Stepping Scheme for the Richards Equation." Mathematical Problems in Engineering 2021 (April 16, 2021): 1–11. http://dx.doi.org/10.1155/2021/5573913.

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We solve one-dimensional Kirchhof transformed Richards equation numerically using finite difference method with various time-stepping schemes, forward in time central in space (FTCS), backward in time central in space (BTCS), Crank–Nicolson (CN), and a stabilized Runge–Kutta–Legendre super time-stepping (RKL), and compare their performances.
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Kamel, Tahri, Benmansour Saa, and Tahri Khadra. "Existence and nonexistence results for p-Laplacian Kirchhoff equation." Asia Mathematika 5, no. 1 (2021): 44–55. https://doi.org/10.5281/zenodo.4722129.

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This paper is dedicated to investigating the following elliptic equation with Kirchhof type involving the p-Laplacian operator: where \(\Omega\) is a bounded domain in \(\mathbb{R} ^{n}\left( n>3\right) , \ \Delta _{p}u:=-div\left( |\nabla u|^{p-2}\nabla u\right) ,\)  for 1<p<n denotes the p-Laplacian operator, and \(\lambda >0\) is a real parameter and $a,b\geq 0:a+b>0$ are parameters.  Using variational methods and critical points theory, we prove that the above problem has a positive solution and multiplicity results in c
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Azzollini, A. "A note on the elliptic Kirchhoff equation in ℝN perturbed by a local nonlinearity". Communications in Contemporary Mathematics 17, № 04 (2015): 1450039. http://dx.doi.org/10.1142/s0219199714500394.

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In this note, we complete the study made in [The elliptic Kirchhoff equation in ℝN perturbed by a local nonlinearity, Differential Integral Equations 25 (2012) 543–554] on a Kirchhoff type equation with a Berestycki–Lions nonlinearity. We also correct Theorem 0.6 inside.
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DİNÇ, Yavuz, Erhan PİŞKİN, and Prof dr cemil TUNC. "Upper bounds for the blow up time for the Kirchhoff- type equation." Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 72, no. 2 (2023): 352–62. http://dx.doi.org/10.31801/cfsuasmas.1146782.

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In this research, we take into account the Kirchhoff type equation with variable exponent. The Kirchhoff type equation is known as a kind of evolution equations,namely, PDEs, where t is an independent variable. This type problem can be extensively used in many mathematical models of various applied sciences such as flows of electrorheological fluids, thin liquid films, and so on. This research, we investigate the upper bound for blow up time under suitable conditions.
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Ehinger, Andreas, Patrick Lailly, and Kurt J. Marfurt. "Green’s function implementation of common‐offset, wave‐equation migration." GEOPHYSICS 61, no. 6 (1996): 1813–21. http://dx.doi.org/10.1190/1.1444097.

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Common‐offset migration is extremely important in the context of migration velocity analysis (MVA) since it generates geologically interpretable migrated images. However, only a wave‐equation‐based migration handles multipathing of energy in contrast to the popular Kirchhoff migration with first‐arrival traveltimes. We have combined the superior treatment of multipathing of energy by wave‐equation‐based migration with the advantages of the common‐offset domain for MVA by implementing wave‐equation migration algorithms via the use of finite‐difference Green’s functions. With this technique, we
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Hokstad, Ketil. "Multicomponent Kirchhoff migration." GEOPHYSICS 65, no. 3 (2000): 861–73. http://dx.doi.org/10.1190/1.1444783.

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This paper presents a method for elastic and viscoelastic imaging of multicomponent seismic data. The method is based on Claerbout’s survey‐sinking concept and the (visco)elastic Kirchhoff integral for the displacement field. Assuming a multishot and multireceiver experiment, the migration process is formulated as a wavefield reconstruction problem, using the (visco)elastic Kirchhoff integral twice. First, the receiver coordinates are downward continued. Second, the source coordinates are downward continued. The multicomponent seismic data are treated as a vector wavefield in which the data me
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Zhu, Tianfei. "Ray‐Kirchhoff migration in inhomogeneous media." GEOPHYSICS 53, no. 6 (1988): 760–68. http://dx.doi.org/10.1190/1.1442511.

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A Kirchhoff method that avoids possible singularities on the surface of integration and is more accurate than previous Kirchhoff methods has been developed for seismic migration in laterally inhomogeneous media. It is based on a newly derived integral solution to the acoustic wave equation. This solution indicates that wave fields in an inhomogeneous medium can be expressed as a summation of ray solutions determined by the transport and extended eikonal equations. The extended eikonal equation is, in turn, solved by an asymptotic series. For implementation, a perturbation scheme is developed f
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Boziev, O. L. "A priori estimates of the integral load of the hyperbolic Kirchhoff equation." Bulletin of State University of Education. Series: Physics and Mathematics, no. 4 (December 23, 2024): 26–36. https://doi.org/10.18384/2949-5067-2024-4-26-36.

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Aim. The aim of this work is to establish a priori estimates for the integral load of the Kirchhoff equation. This equation models some nonlinear oscillatory processes. Here, the load is the rational degree m / n of a linear function of the norm of the desired solution in the space H1(Ω). Methodology. To establish a priori estimates, integral transformations of the terms of the scalar product of the original equation and the time derivative of its solution are performed. The application of some well-known integral inequality leads to the desired estimates.Results. A priori inequalities limitin
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Boziev, O. L. "APPLICATION OF A PRIORI ESTIMATES OF THE INTEGRAL LOAD OF THE KIRCHHOFF HYPERBOLIC EQUATION FOR ITS REDUCTION TO A LINEAR EQUATION." Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics" 17, no. 2 (2025): 5–12. https://doi.org/10.14529/mmph250201.

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The aim of this work is to establish a priori estimates for the integral load of the Kirchhoff equation. This equation models some nonlinear oscillatory processes. Here, the load is the rational degree m/n of a linear function of the norm of the desired solution in the space H1(Ω). To achieve the specified goal, integral transformations of the terms of the scalar product of the original equation and the time derivative of its solution are performed. The application of Gronwall-Bellman type integral inequality leads to the desired estimates. A priori inequalities limiting the integral load of t
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Chill, Ralph. "Convergence of bounded solutions to gradient‐like semilinear Cauchy problems with radial nonlinearity." Asymptotic Analysis 33, no. 2 (2003): 93–106. https://doi.org/10.3233/asy-2003-524.

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We prove convergence to a steady state of bounded solutions of the abstract first order semilinear Cauchy problem ut+Lu+g(Ψ(u))Cu=0, t∈R+, and of the second order semilinear Cauchy problem utt+αut+Lu+g(Ψ(u))Cu=0, t∈R+. We apply the abstract results to semilinear parabolic and hyperbolic partial differential equations including the heat equation, the wave equation, a Kuramoto–Sivashinsky model and the Kirchhoff–Carrier equation.
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Dissertations / Theses on the topic "Kirchhof equation"

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Medeiros, Luiz Adauto, and Juan Límaco. "On the Kirchhoff equation in noncylindrical domains of R." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/97270.

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Meyer, Arnd. "Hierarchical Preconditioners and Adaptivity for Kirchhoff-Plates." Universitätsbibliothek Chemnitz, 2008. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200801284.

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Nascimento, Rubia Gonçalves. "Problemas elipticos não-locais do tipo p-Kirchhoff." [s.n.], 2008. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307127.

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Orientadores: Francisco Julio Sobreira de Araujo Correa, Djairo Guedes de Figueiredo<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-09T23:52:44Z (GMT). No. of bitstreams: 1 Nascimento_RubiaGoncalves_D.pdf: 676237 bytes, checksum: b58f8b79d9e983ceccee3865787cfec0 (MD5) Previous issue date: 2008<br>Resumo: Neste trabalho usaremos algumas técnicas da Análise Funcional não-linear para estudar a existência de soluções para a seguinte classe de problemas ... Observação: O resumo na íntegra
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Campeão, Diego Esteves. "Otimização topológica de placas de Kirchhoff." Laboratório de Computação Científica, 2012. https://tede.lncc.br/handle/tede/145.

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Made available in DSpace on 2015-03-04T18:57:41Z (GMT). No. of bitstreams: 1 MScCampeao.pdf: 730731 bytes, checksum: 93bde1355e901654a01dbd2a0138fe35 (MD5) Previous issue date: 2012-01-09<br>Conselho Nacional de Desenvolvimento Cientifico e Tecnologico<br>In this work a methodology for the compliance topology design of Kirchhoff plates with volume constraint using topological derivative is presented. The topological derivative measures the sensitivity of a given shape functional with respect to an infinitesimal singular domain perturbation, such as the insertion of holes, inclusions, sourc
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Narciso, Vando. "Atratores para uma classe de equações de vigas extensíveis fracamente dissipativas." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-13072010-155835/.

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Este trabalho contém resultados sobre a existência, unicidade e comportamento assintótico de soluções para uma equação de viga não linear do tipo Kirchhoff, \'u IND. tt\' \'+ \'DELTA\' POT. 2\' u - M(\'INT.IND. OMEGA\' | \'NABLA\' u| 2 dx) \'DELTA\' u+ f (\'u IND. t\' ) +g(u) = h em × R +, onde \'R POT. N\' é um domínio limitado com fronteira regular \\GAMA. Essa equação é um modelo matemático para pequenas vibrações transversais de vigas ou placas extensíveis. O termo não local M(\'INT.IND. OMEGA\' | \\NABLA u |2 dx) u está relacionado à variação de tensão na viga devida à sua extensib
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Yusuf, Owolabi. "On models of Kirchhoff Equations with damping terms: existence results and asymptotic behaviour of solutions." Master's thesis, University of Cape Town, 2018. http://hdl.handle.net/11427/29370.

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Beauregard, Matthew Alan. "Nonlinear Dynamics of Elastic Filaments Conveying a Fluid and Numerical Applications to the Static Kirchhoff Equations." Diss., The University of Arizona, 2008. http://hdl.handle.net/10150/194164.

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Two problems in the study of elastic filaments are considered.First, a reliable numerical algorithm is developed that candetermine the shape of a static elastic rod under a variety ofconditions. In this algorithm the governing equations are writtenentirely in terms of local coordinates and are discretized usingfinite differences. The algorithm has two significant advantages:firstly, it can be implemented for a wide variety of the boundaryconditions and, secondly, it enables the user to work with generalconstitutive relationships with only minor changes to thealgorithm. In the second problem a
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Baldi, Pietro. "Bifurcation of free and forced vibrations for nonlinear wave and Kirchhoff equations via Nash-Moser theory." Doctoral thesis, SISSA, 2007. http://hdl.handle.net/20.500.11767/3952.

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Nonlinear wave equations model the propagation of waves in a wide range of Nonlinear wave equations model the propagation of waves in a wide range of physical systems, from acoustics to electromagnetics, from seismic motions to vibrating string and elastic membranes, where oscillatory phenomena occur. Because of this intrinsic oscillatory physical structure, it is natural, from a mathematical point of view, to investigate the question of the existence of oscillations, namely periodic and quasi-periodic solutions, for the equations governing such physical systems. This is the central questio
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Bensedik, Ahmed. "Sur quelques problèmes elliptiques de type Kirchhoff et dynamique des fluides." Phd thesis, Université Jean Monnet - Saint-Etienne, 2012. http://tel.archives-ouvertes.fr/tel-00971279.

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Cette thèse est composée de deux parties indépendantes. La première est consacrée à l'étude de quelques problèmes elliptiques de type de Kirchhoff de la forme suivante : -M(ʃΩNul² dx) Δu = f(x, u) xЄΩ ; u(x) = o xЄƋΩ où Ω cRN, N ≥ 2, f une fonction de Carathéodory et M une fonction strictement positive et continue sur R+. Dans le cas où la fonction f est asymptotiquement linéaire à l'infini par rapport à l'inconnue u, on montre, en combinant une technique de troncature et la méthode variationnelle, que le problème admet au moins une solution positive quand la fonction M est non décroissante. E
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Sessa, Mirko. "An SMT-based framework for the formal analysis of Switched Multi-Domain Kirchhoff Networks." Doctoral thesis, Università degli studi di Trento, 2019. http://hdl.handle.net/11572/243432.

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Many critical systems are based on the combination of components from different physical domains (e.g. mechanical, electrical, hydraulic), and are mathematically modeled as Switched Multi-Domain Kirchhoff Networks (SMDKN). In this thesis, we tackle a major obstacle to formal verification of SMDKN, namely devising a global model amenable to verification in the form of a Hybrid Automaton. This requires the combination of the local dynamics of the components, expressed as Differential Algebraic Equations, according to Kirchhoff's laws, depending on the (exponentially many) operation modes of the
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Books on the topic "Kirchhof equation"

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Zeitlin, Vladimir. Vortex Dynamics on the f and beta Plane and Wave Radiation by Vortices. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0006.

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Quasi-geostrophic dynamics being essentially the vortex dynamics, the main notions of vortex dynamics in the plane are introduced in this chapter. Dynamics of vorticity is treated both in Eulerian and Lagrangian descriptions. Dynamics of point vortices and vortex patches (contour dynamics) are recalled, as well as discretisations of the vorticity equation preserving Casimir invariants, which reflect Lagrangian conservation of vorticity. The influence of the beta effect upon vortices is illustrated, and exact modon solutions of the QG equations on the f and beta planes are constructed. Basic no
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Book chapters on the topic "Kirchhof equation"

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Matsuyama, Tokio, and Michael Ruzhansky. "Global Well-Posedness of the Kirchhoff Equation and Kirchhoff Systems." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-12148-2_5.

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Matsuyama, Tokio, and Michael Ruzhansky. "The Kirchhoff Equation with Gevrey Data." In Trends in Mathematics. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-48812-7_40.

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Norris, Andrew N. "Finite-Amplitude Waves in Solids." In Nonlinear Acoustics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-58963-8_9.

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AbstractThe theoretical foundation for weakly nonlinear elastic waves in isotropic solids is developed. Lagrangian coordinates are used to obtain the equation of motion in terms of the Piola-Kirchhoff stress tensor, which is a function of the strain energy density. Notations employed for elastic constants in different expansions of the strain energy density are related to those introduced by Landau and Lifshitz. Use of the acoustoelastic effect to determine the third-order elastic constants is described. Solutions are presented for second-harmonic generation in a longitudinal plane wave. Final
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Contoyiannis, Y., P. Papadopoulos, M. Kampitakis, S. M. Potirakis, and N. L. Matiadou. "ϕ 4 Solitons in Kirchhoff Wave Equation." In Nonlinear Analysis, Differential Equations, and Applications. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72563-1_4.

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Marinov, Tchavdar T., and Rossitza Marinova. "An Inverse Problem for the Stationary Kirchhoff Equation." In Large-Scale Scientific Computing. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29843-1_68.

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Figueiredo, Giovany M., and Antonio Suárez. "The sub-supersolution method for Kirchhoff systems: applications." In Contributions to Nonlinear Elliptic Equations and Systems. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19902-3_14.

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Heidarkhani, Shapour, Amjad Salari, and David Barilla. "Kirchhoff-Type Boundary-Value Problems on the Real Line." In Differential and Difference Equations with Applications. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-75647-9_12.

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Heidarkhani, Shapour, Ghasem A. Afrouzi, Shahin Moradi, and Giuseppe Caristi. "Critical Point Approaches to Difference Equations of Kirchhoff-Type." In Differential and Difference Equations with Applications. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-75647-9_4.

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Horn, Mary Ann, and Irena Lasiecka. "Uniform Stabilizability of Nonlinearly Coupled Kirchhoff Plate Equations." In Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena. Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-8530-0_11.

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Michels, Dominik L., Dmitry A. Lyakhov, Vladimir P. Gerdt, Gerrit A. Sobottka, and Andreas G. Weber. "On the Partial Analytical Solution of the Kirchhoff Equation." In Computer Algebra in Scientific Computing. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-24021-3_24.

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Conference papers on the topic "Kirchhof equation"

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Li, Zhiming, Chen‐Bin Su, Wes Bauske, and Sharma Tadepalli. "Kirchhoff or wave equation?" In SEG Technical Program Expanded Abstracts 2003. Society of Exploration Geophysicists, 2003. http://dx.doi.org/10.1190/1.1817439.

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MATSUYAMA, TOKIO. "ASYMPTOTIC BEHAVIOUR FOR KIRCHHOFF EQUATION." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0051.

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Etgen, John T. "3D Wave Equation Kirchhoff Migration." In SEG Technical Program Expanded Abstracts 2012. Society of Exploration Geophysicists, 2012. http://dx.doi.org/10.1190/segam2012-0755.1.

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Kosloff, D., Z. Koren, A. Litiv, E. Ragoza, and A. Zuev. "Kirchhoff vs. Wave Equation Pre Stack Depth Migration." In 64th EAGE Conference & Exhibition. European Association of Geoscientists & Engineers, 2002. http://dx.doi.org/10.3997/2214-4609-pdb.5.e026.

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Pu, Yu, Gang Liu, Diancheng Wang, Hui Huang, and Ping Wang. "Wave-equation traveltime and amplitude for Kirchhoff migration." In First International Meeting for Applied Geoscience & Energy. Society of Exploration Geophysicists, 2021. http://dx.doi.org/10.1190/segam2021-3583642.1.

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Wang, Yue. "Multiple solutions of variable exponential fractional Kirchhoff equation." In International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), edited by Ke Chen, Nan Lin, Romeo Meštrović, Teresa A. Oliveira, Fengjie Cen, and Hong-Ming Yin. SPIE, 2022. http://dx.doi.org/10.1117/12.2627601.

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Jin, Hu, Vladimir Bashkardin, Petr Jilek, et al. "Wave equation traveltime Kirchhoff with real data applications." In International Meeting for Applied Geoscience & Energy. Society of Exploration Geophysicists and American Association of Petroleum Geologists, 2023. http://dx.doi.org/10.1190/image2023-3908282.1.

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Beibei, Wang, and Liu Chunhan. "Multiple solutions for q-Kirchhoff elliptic equations." In 2021 4th International Conference on Advanced Electronic Materials, Computers and Software Engineering (AEMCSE). IEEE, 2021. http://dx.doi.org/10.1109/aemcse51986.2021.00257.

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MATSUYAMA, T., and M. RUZHANSKY. "DISPERSION AND ASYMPTOTIC PROFILES FOR KIRCHHOFF EQUATIONS." In Proceedings of the 8th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812709806_0025.

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PAPADOPOULOS, PERIKLES G., та NIKOS M. STAVRAKAKIS. "GLOBAL EXISTENCE, BLOW UP AND ASYMPTOTIC RESULTS FOR KIRCHHOFF STRINGS ON ℝN". У Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0197.

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