Results 91 to 100 of about 2,044 (212)
Multiplicity Results for a Kirchhoff-Type Equations with General Potential
This research we examine a Kirchhoff type equation in \(\mathbb{R}^{3}\) involving a potential that changes sign. By imposing appropriate conditions on \(V\) and making spectral assumptions, we successfully establish the existence of multiple solutions for this particular issue using variational methods.
Linsong Chen, Tianqun Hu, Jian Zhou
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Biophysical processes of morphogenesis in lizard lungs
Abstract Background The lungs of squamate reptiles (lizards and snakes) are highly diverse, exhibiting single chambers, multiple chambers, transitional forms with two to three chambers, along with a suite of other anatomical features, including finger‐like epithelial projections into the body cavity known as diverticulae.
Kaleb Hill +9 more
wiley +1 more source
A scalable, color‐adaptive radiative cooling coating is developed to enable dynamic spectral regulation via a reversible thermochromic transition at ~45 °C and a high solar reflectance of 91.7%. The coating achieves 4.44 °C outdoor sub‐ambient cooling while providing robust superhydrophobicity and environmental durability through its micro/nano ...
Ziqi Li +8 more
wiley +1 more source
ABSTRACT The solar photovoltaic (PV) installations, which are essential for renewable energy systems, are vulnerable to partial shading, resulting in considerable power losses and operational inefficiencies. The dynamic reconfiguration of PV arrays has become an effective strategy to mitigate these effects by adaptively modifying the array topology to ...
Manoharan Premkumar +3 more
wiley +1 more source
An optimal control problem for a Kirchhoff-type equation
In this paper we study a control problem for a Kirchhoff-type equation. The method to obtain first order necessary optimality conditions is the Dubovitskii-Milyoutin formalism because the classical arguments do not work. We obtain a characterization of the optimal control by a partial differential system which is solved numerically.
Delgado Delgado, Manuel +3 more
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A three‐dimensional fluid‐structure interaction (FSI) framework is developed using the geometric volume‐of‐fluid (VOF) interface capturing method and applied to assess largescale turbulent FSI interactions. The monolithic FSI framework is extensively validated, and despite the discontinuities across the interface, the FSI framework delivers stable and ...
Soham Prajapati +2 more
wiley +1 more source
Eigenvalue problems for \(p(x)\)-Kirchhoff type equations
Summary: In this article, we study the nonlocal \(p(x)\)-Laplacian problem \[ \begin{aligned} -M\Big(\int_{\Omega}\frac{1}{p(x)}|\nabla u|^{p(x)}dx\Big) \text{div}(|\nabla u|^{p(x)-2}\nabla u)&= \lambda| u|^{q(x)-2}u \quad \text{ in } \Omega,\\ u&=0 \quad \text{on } \partial\Omega, \end{aligned} \] By means of variational methods and the theory of the ...
Ghasem A. Afrouzi, Maryam Mirzapour
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We developed a bio‐inspired artificial retina in which curved artificial receptive fields composed of perovskite photoconductors perform multiply‐and‐accumulate operations through in‐sensor computing. This architecture simultaneously realized the structural efficiency of human eyes (compact single‐lens imaging system) and functional advantages of ...
Jisang Ha +8 more
wiley +1 more source
General decay and blow up of solutions for a Kirchhoff-type equation with variable-exponents
A nonlinear Kirchhoff-type equation with logarithmic nonlinearity and variable exponents is studied. Firstly, the global existence is shown. Next, by using an integral inequality due to Komornik the general decay result is obtained.
Mohammad Alnegga +3 more
doaj +1 more source
SCATTERING FOR QUASILINEAR HYPERBOLIC EQUATIONS OF KIRCHHOFF TYPE WITH PERTURBATION
This paper is concerned with the abstract quasilinear hyperbolic equations of Kirchhoff type with perturbation. We show the existence of the wave operators and the scattering operator for small data, and that these operators are homeomorphic with respect to a suitable metric in a neighborhood of the origin.
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