Results 1 to 10 of about 138,099 (192)
Higher order linear parabolic equations [PDF]
, 2012 We first highlight the main differences between second order and higher order linear parabolic equations. Then we survey existing results for the latter, in particular by analyzing the behavior of the convolution kernels.
Barbatis, Gerassimos, Gazzola, Filippo
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Математичні Студії, 2023 Initial-boundary value problems for parabolic and elliptic-parabolic (that is degenerated parabolic) equations in unbounded domains with respect to the spatial variables were studied by many authors.
M. M. Bokalo, O. V. Domanska
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Alexandria Engineering Journal, 2023 Parabolic equations play an important role in chemical engineering, vibration theory, particle diffusion and heat conduction. Solutions of such equations are required to analyze and predict changes in physical systems. Solutions of such equations require
Mubashir Qayyum +4 more
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Unique Continuation for Parabolic Equations of Higher Order [PDF]
Nagoya Mathematical Journal, 1966 Let x = (xl,…xn) be a point in the n-dimensional Euclidean space and let be the unit sphere In the (n + 1)-dimensional Euclidean space with coordinate (x, t), we putandwhere denotes the boundary of . We also use the following notation:
Chen, Lu-san, Kuroda, Tadashi
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Galerkin-Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary [PDF]
Компьютерные исследования и моделирование, 2013 In the current paper, we study a Galerkin-Petrov method for a parabolic equations of higher order in domain with a moving boundary. Asymptotic estimates for the convergence rate of approximate solutions are obtained.
Polina Vitalievna Vinogradova +2 more
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Partial Differential Equations in Applied Mathematics, 2023 In this paper, we focus on solving semilinear parabolic differential equations in low and high-dimensional spaces by using backward stochastic differential equations and deep neural networks (the BSDE solver introduced by Han et al. in 2017).
Shawn Koohy +2 more
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Boundary Value Problems, 2021 In this paper, we study the initial boundary value problem for a class of higher-order n-dimensional nonlinear pseudo-parabolic equations which do not have positive energy and come from the soil mechanics, the heat conduction, and the nonlinear optics ...
Liming Xiao, Mingkun Li
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On Oscillations in a Gene Network with Diffusion
Mathematics, 2023 We consider one system of partial derivative equations of the parabolic type as a model of a simple 3D gene network in the presence of diffusion of its three components.
Vladimir Golubyatnikov +2 more
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Case Studies in Thermal Engineering, 2023 Current investigation deals with the melting heat transfer for the Jeffrey hybrid-nanofluid flow in parabolic trough solar collectors through Darcy Forchheimer porous media over a variable thick vertical elongation Riga surface under the effect of solar ...
Bhupendra K. Sharma +4 more
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Case Studies in Thermal Engineering, 2023 This attempt numerically investigates the heat transfer in parabolic trough solar collectors due to the rotating tube for the hybrid nanofluid flow over the Riga surface with Darcy Forchheimer’s porous medium under the effect of solar radiation.
B.K. Sharma +3 more
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