Results 111 to 120 of about 26,442 (220)
In this paper, we investigate the existence of multiple solutions for a Kirchhoff-type equation with Dirichlet boundary conditions defined on locally finite graphs.
Yanhong Li, Xingyong Zhang
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Hyperbolic–parabolic singular perturbation for quasilinear equations of Kirchhoff type
In this paper, the authors consider a hyperbolic-parabolic singular perturbation for quasilinear equations of Kirchhoff type. The authors show estimates of the difference between the solution \(u_\varepsilon\) of a quasilinear hyperbolic equation and the solution \(v_\varepsilon\) of the corresponding parabolic equation depending on \(v_\varepsilon ...
Hashimoto, Hiromichi, Yamazaki, Taeko
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Abstract We introduce mixed super‐circles, a position‐curvature formulation of the original dynamic 2D super‐helix model. Compared to the latter, purely curvature‐based model – the so‐called chained formulation –, the mixed formulation that we propose here drastically reduces the algorithmic complexity of the solving scheme – from quadratic to quasi ...
Emile Hohnadel +2 more
wiley +1 more source
Low-Mach-number--slenderness limit for elastic Cosserat rods
This paper deals with the relation of the dynamic elastic Cosserat rod model and the Kirchhoff beam equations. We show that the Kirchhoff beam without angular inertia is the asymptotic limit of the Cosserat rod, as the slenderness parameter (ratio ...
Baus, Franziska +3 more
core
Abstract figure legend In this study, we use human‐induced pluripotent stem cell‐derived cardiomyocyte (hiPSC‐CM) experiments and computational modelling to identify the mechanism of action of drug compounds. In the hiPSC‐CM experiments, optical measurements of cell collections are recorded in the baseline case and after drug exposure.
Karoline Horgmo Jæger +4 more
wiley +1 more source
Multiple positive solutions to a p-Kirchhoff equation with logarithmic terms and concave terms
In this article, we focus on a class of pp-Kirchhoff-type equations that include logarithmic and concave terms. By applying the variational method, we establish the existence and multiplicity of positive solutions.
Liang Jin-Ping, Wang Ran-Ran, Wang Yue
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A Novel Mixed‐Hybrid, Higher‐Order Accurate Formulation for Kirchhoff–Love Shells
ABSTRACT This paper presents a novel mixed‐hybrid finite element formulation for Kirchhoff–Love shells, designed to enable the use of standard C0$C^0$‐continuous higher‐order Lagrange elements. This is possible by introducing the components of the moment tensor as a primary unknown alongside the displacement vector, circumventing the need for C1$C^1 ...
Jonas Neumeyer, Thomas‐Peter Fries
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Multiple positive solutions for Kirchhoff problems with sign-changing potential
In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type equations with sign-changing potential. Using the Nehari manifold, we obtain two positive solutions.
Gao-Sheng Liu +3 more
doaj
A Compact Algorithm for Applying Periodic Boundary Conditions in 3D RVE Modeling with Abaqus
ABSTRACT Periodic boundary conditions (PBCs) are essential in multiscale modeling for computing the effective properties of heterogeneous materials via representative volume elements (RVEs). While several automated solutions have been developed for implementing PBCs in finite element software, many rely on structured node classification and predefined ...
Reza Sadeghpour, Martin Kraska
wiley +1 more source
Existence of solutions for a \(p(x)\)-Kirchhoff-type equation
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Dai, Guowei, Hao, Ruifang
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