Results 1 to 10 of about 30,499 (304)
Quasilinear Parabolic Equations Associated with Semilinear Parabolic Equations [PDF]
Mathematics, 2023 We formulate a quasilinear parabolic equation describing the behavior of the global-in-time solution to a semilinear parabolic equation. We study this equation in accordance with the blow-up and quenching patterns of the solution to the original ...
Katsuyuki Ishii +2 more
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On Degenerate Parabolic Equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 The paper deals with the existence of solutions of some generalized Stefan-type equation in the framework of Orlicz spaces.
Mohammed Kbiri Alaoui
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Karpatsʹkì Matematičnì Publìkacìï, 2022 The aim of the present paper is to investigate of some properties of periodic solutions of a nonlinear autonomous parabolic systems with a periodic condition.
I.I. Klevchuk
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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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On the iterative method for solution of direct and inverse problems for parabolic equations [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 The paper is devoted to approximate methods for solution of direct and inverse problems for parabolic equations. An approximate method for the solution of the initial problem for multidimensional nonlinear parabolic equation is proposed.
Boykov, Il'ya V. +1 more
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On Parabolic Equations for Measures [PDF]
Communications in Partial Differential Equations, 2008 A new existence result is established for weak parabolic equations for probability measures on ℝ d . A priori estimates for solutions of such equations are obtained.
Bogachev, Vladimir I. +2 more
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Stability of Stochastic Partial Differential Equations
Axioms, 2023 In this paper, we study the stability of the stochastic parabolic differential equation with dependent coefficients. We consider the stability of an abstract Cauchy problem for the solution of certain stochastic parabolic differential equations in a ...
Allaberen Ashyralyev, Ülker Okur
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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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An Approximation of Ultra‐Parabolic Equations [PDF]
Abstract and Applied Analysis, 2012 The first and second order of accuracy difference schemes for the approximate solution of the initial boundary value problem for ultra‐parabolic equations are presented. Stability of these difference schemes is established. Theoretical results are supported by the result of numerical examples.
Ashyralyev, Allaberen, Yılmaz, Serhat
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Analytical Expansions for Parabolic Equations [PDF]
SIAM Journal on Applied Mathematics, 2013 We consider the Cauchy problem associated with a general parabolic partial differential equation in $d$ dimensions. We find a family of closed-form asymptotic approximations for the unique classical solution of this equation as well as rigorous short-time error estimates.
Lorig M. +2 more
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