Results 11 to 20 of about 113,647 (186)
Boundary Value Problems, 2018 This paper is concerned with a kind of first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value problems. We prove that the function given by the solution of
Ning Ma, Zhen Wu
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Nonexistence results of solutions of parabolic-type equations and systems on the Heisenberg group
Boundary Value Problems, 2023 In this paper, we present necessary conditions for the existence of weak solution of the parabolic-type equations and systems on the Heisenberg group. The main technique for proving the results relies on the method of test functions.
Wei Shi
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Boundary Value Problems, 2019 In this paper, we present a reduced high-order compact finite difference scheme for numerical solution of the parabolic equations. CFDS4 is applied to attain high accuracy for numerical solution of parabolic equations, but its computational efficiency ...
Baozou Xu, Xiaohua Zhang
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Boundary Value Problems, 2020 The aim of this paper is to show some applications of Sobolev inequalities in partial differential equations. With the aid of some well-known inequalities, we derive the existence of global solution for the quasilinear parabolic equations.
Yuanfei Li, Lianhong Guo, Peng Zeng
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Analysis of non scalar control problems for parabolic systems by the block moment method
Comptes Rendus. Mathématique, 2023 This article deals with abstract linear time invariant controlled systems of parabolic type. In [9], with A. Benabdallah, we introduced the block moment method for scalar control operators.
Boyer, Franck, Morancey, Morgan
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$L^P$ estimate for abstract linear parabolic equations
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1991 The authors consider the parabolic equations (*) \(du/dt+A(t)u=f\), \(u(0)=\alpha\), \(0\leq ...
Giga, Mariko +2 more
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Scientific Reports, 2021 The quest for high-performance of heat transfer components on the basis of accommodating shapes, smaller weights, lower costs and little volume has significantly diverted the industries for the enhancement of heat dissipation with variable thermal ...
Basma Souayeh, Kashif Ali Abro
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Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise II. Fully discrete schemes [PDF]
, 2012 We present an abstract framework for analyzing the weak error of fully discrete approximation schemes for linear evolution equations driven by additive Gaussian noise.
A. Bouard de +25 more
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Degenerate parabolic equations appearing in atmospheric dispersion of pollutants
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters.
Veli Shakhmurov, Aida Sahmurova
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Rate of Convergence of Space Time Approximations for stochastic evolution equations [PDF]
, 2007 Stochastic evolution equations in Banach spaces with unbounded nonlinear drift and diffusion operators driven by a finite dimensional Brownian motion are considered.
A. Cohen +14 more
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