Results 41 to 50 of about 1,364,858 (220)
Hyperbolic Parabolic Equations with Nonlinearity of Kirchhoff-Carrier Type
The author considers the Cauchy problem for a nonlinear hyperbolic-parabolic equation of Kirchhoff type. Using a diagonalization theorem, she proves the existence of local generalized solutions.
openaire +3 more sources
Physics‐Informed Neural Network‐Enabled Forward Prediction and Inverse Design of Ring Origami
This work presents a KRT‐PINN framework that integrates Kirchhoff rod theory with physics‐informed neural networks for the forward prediction and inverse design of ring origami consisting of closed‐loop rods. The framework predicts stable states of segmented rings with prescribed natural‐curvature profiles and determines the natural‐curvature profiles ...
Luyuan Ning +3 more
wiley +1 more source
Fast computation of the nonlocal boundary condition in finite difference parabolic equation radiowave propagation simulations [PDF]
Finite difference parabolic equation method (FD-PEM) codes using a nonlocal boundary condition to model radiowave propagation over electrically large domains, require the computation of time consuming spatial convolution integrals. For the first time, we
Mias, Christos
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This article focuses on the singularity formation of smooth solutions for a one-dimensional nonlinear degenerate hyperbolic-parabolic coupled system originating from the Poiseuille flow of nematic liquid crystals.
Hu Yanbo
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The concept of high‐dimensional EM modulation using the STMA for physical layer secure communication is illustrated in figure. The STMA consists of a series of programmable unit cells, with 1‐bit reconfigurable phase states (0/π). The STMA is excited by a monochromatic continuous wave (CW) at frequency fc and controlled by a field‐programmable gate ...
Xinyu Fang +6 more
wiley +1 more source
Comparison of hyperbolic and parabolic equations modelling buoyancy driven flow in a square cavity
The effects of a hyperbolic and parabolic heat transfer equation on buoyancy-driven flow in a square cavity are studied. Boundary conditions where the bottom wall is hot and the side and top walls are cold are investigated.
E. Momoniat, R.S. Herbst, C. Harley
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Tricomi problem analogue for loaded equation of hyperbolic-parabolic type with variable coefficients
An analogue of Tricomi problem for loaded equation of hyperbolic-parabolic type with variable coefficients is researched. The theorem on existence and uniqueness of solution is proved for special conditions on the coefficients.
K. U. Khubiev
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Abstract Global energy demand and environmental concerns have intensified the search for renewable and sustainable energy sources. This study thus, focuses on optimizing the transesterification process of waste cooking oil (WCO) using thermally activated basic oxygen furnace slag catalyst calcined at 850°C (BOF 850). The optimization and modelling were
Johra S. Ali, Hillary L. Rutto
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Deterministic and Stochastic Dynamics in Spinodal Decomposition of a Binary System
A model for diffusion and phase separation, which takes into account hyperbolic relaxation of the solute diffusion flux, is developed. Such a ‘hyperbolic model’ provides analysis of ‘hyperbolic evolution’ of patterns in spinodal decomposition in systems ...
D. O. Kharchenko, P. K. Galenko, V. G. Lebedev
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ON A BOUNDARY-VALUE PROBLEM FOR THE THIRD ORDER OF A PARABOLO-HYPERBOLIC TYPE IN A VAGINATED SIXTY-DIMENSIONAL REGION [PDF]
In the study of problems of mathematical physics, the methods of differential and integral equations are used. This paper is an example of the application of these methods to the solution of a single boundary-value problem for a third-order parabolic ...
Mamazhonov M., Shermatova Kh. M.
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