The quasilinear parabolic kirchhoff equation
Open Mathematics, 2017 In this paper the existence of solution of a quasilinear generalized Kirchhoff equation with initial – boundary conditions of Dirichlet type will be studied using the Leray – Schauder principle.
Dawidowski Łukasz
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Well-posedness and global attractor of Kirchhoff equation with memory term and thermal effect
Results in Applied Mathematics, 2023 The Kirchhoff model is derived from the vibration problem of stretchable strings. In this paper, the Kirchhoff equation with thermal effects and memory terms is studied.
Penghui Lv, Guoguang Lin, Xiaojun Lv
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Accuracy of the Kirchhoff-approximation and Kirchhoff-ray-mode fish swimbladder acoustic scattering models. [PDF]
PLoS ONE, 2013 The acoustic backscatter from pressure release prolate spheroids and a three-dimensional representation of a fish swimbladder (Chilean jack mackerel, Trachurus symmetricus murphyi) was calculated using four target strength models (Kirchhoff-approximation,
Gavin J Macaulay +4 more
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Addressing nonlinear transient diffusion in porous media through transformations
Oil & Gas Science and Technology, 2021 The nonlinear differential equation describing flow of a constant compressibility liquid in a porous medium is examined in terms of the Kirchhoff and Cole-Hopf transformations.
Raghavan Rajagopal, Chen Chih
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Multiple positive solutions for a class of Kirchhoff type equations with indefinite nonlinearities
Advances in Nonlinear Analysis, 2021 We study the following Kirchhoff type equation:
Che Guofeng, Wu Tsung-fang
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Existence of least energy sign-changing solutions to Kirchhoff equation with critical growth
Journal of Hebei University of Science and Technology, 2020 In order to deeply study the characteristics of Kirchhoff equation, the existence result of the least energy sign-changing solutions to Kirchhoff equation with Hartree term and critical growth nonlinear term was discussed.
Wenguo LIANG, Yongyan HUANG
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Comparison of the Wiener and Kirchhoff Indices of Random Pentachains
Journal of Mathematics, 2021 Let G be a connected (molecule) graph. The Wiener index WG and Kirchhoff index KfG of G are defined as the sum of distances and the resistance distances between all unordered pairs of vertices in G, respectively.
Shouliu Wei +3 more
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Existence of ground state for fractional Kirchhoff equation with L 2 $L^{2}$ critical exponents
Boundary Value Problems, 2020 In this paper, we consider a class of fractional Kirchhoff equations with L 2 $L^{2}$ critical exponents. By using the scaling technique and concentration-compactness principle we obtain the existence and nonexistence of ground state for fractional ...
Yaling Han, Yimin Zhang
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Multiplicity and Concentration of Solutions for Kirchhoff Equations with Magnetic Field
Advanced Nonlinear Studies, 2021 In this paper, we study the following nonlinear magnetic Kirchhoff equation:
Ji Chao, Rădulescu Vicenţiu D.
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International Journal of Differential Equations, 2019 We consider a damped Kirchhoff-type equation with Dirichlet boundary conditions. The objective is to show the Fréchet differentiability of a nonlinear solution map from a bilinear control input to the solution of a Kirchhoff-type equation.
Jin-soo Hwang
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