Results 1 to 10 of about 41,256 (237)
Global well-posedness of the Kirchhoff equation and Kirchhoff systems [PDF]
, 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.
E Callegari +22 more
core +8 more sources
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
doaj +5 more sources
On a Kirchhoff Equation in Bounded Domains
Advanced Nonlinear Studies, 2018 In this paper, we consider the following Kirchhoff equation:
Huang Yisheng, Wu Yuanze
doaj +3 more sources
Multiple solutions for a Kirchhoff-type equation with general nonlinearity
Advances in Nonlinear Analysis, 2018 This paper is devoted to the study of the following autonomous Kirchhoff-type equation:
Lu Sheng-Sen
doaj +2 more sources
On isolated singularities of Kirchhoff equations [PDF]
Advances in Nonlinear Analysis, 2020 In this note, we study isolated singular positive solutions of Kirchhoff ...
Chen Huyuan +2 more
doaj +3 more sources
Generalized Kirchhoff approximation for Helmholtz equation [PDF]
, 2014 We give integral formulas to approximate solutions of Dirichlet and Neumann problems for Helmholtz equation at high frequencies. These approximations are valid in the complementary of a union of convex compact obstacles.
Cuvelier, François
core +3 more sources
Nontrivial Solutions for Time Fractional Nonlinear Schrödinger-Kirchhoff Type Equations
Discrete Dynamics in Nature and Society, 2017 We study the existence of solutions for time fractional Schrödinger-Kirchhoff type equation involving left and right Liouville-Weyl fractional derivatives via variational methods.
N. Nyamoradi +4 more
doaj +6 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source