Results 1 to 10 of about 100,249 (259)
Global Calderón–Zygmund theory for nonlinear parabolic systems
Calculus of Variations and Partial Differential Equations, 2013 We establish a global Calderón & Zygmund theory for solutions of a huge class of nonlinear parabolic systems whose model is the inhomogeneous parabolic $p$-Laplacian system \begin{equation*} \left\{\begin{array}{cc} \partial_t u - \Div (|Du|^{p-2}Du) = \Div (|F|^{p-2}F) &\mbox{in $Ω_T:=Ω\times(0,T)$} \\[5pt] u=g &\mbox{on $\partialΩ\times(0,
Bögelein, Verena
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Riemann Problem for a limiting system in elastodynamics
Electronic Journal of Differential Equations, 2014 This article concerns the resolution of the Riemann problem for a 2x2 system in nonconservative form exhibiting parabolic degeneracy. The system can be perceived as the limiting equation (depending on a parameter tending to 0) of a 2x2 strictly ...
Anupam Pal Choudhury
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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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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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Open Mathematics, 2022 In this work, the solvability for an inverse problem of a nonlinear parabolic equation with nonlocal integral overdetermination supplementary condition is examined.
Huntul Mousa J. +3 more
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Mathematics, 2023 This paper deals with a nonlinear nonlocal parabolic system with nonlinear heat-loss boundary conditions, which arise in the thermal explosion model. Firstly, we prove a comparison principle for some kinds of parabolic systems under nonlinear boundary ...
Wenyuan Ma, Baoqiang Yan
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Higher integrability for doubly nonlinear parabolic systems
Partial Differential Equations and Applications, 2022 AbstractIn this paper we establish a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The proof is based on a new intrinsic scaling that involves both the solution and its spatial gradient. It allows to compensate for the different scaling of the system in |u| and |Du|.
Verena Bögelein +2 more
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Observer Design for Lipschitz Nonlinear Parabolic PDE Systems With Unknown Input
IEEE Access, 2020 In this article, a novel method to design the observer for a class of uncertain Lipschitz nonlinear parabolic partial differential equations (PDE) systems is investigated.
Teng-Fei Li
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Известия Иркутского государственного университета: Серия "Математика", 2021 The paper deals with a second-order nonlinear parabolic system that describes heat and mass transfer in a binary liquid mixture. The nature of nonlinearity is such that the system has a trivial solution where its parabolic type degenerates.
A.L. Kazakov, P.A. Kuznetsov
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Limited different schemes for mutual diffusion problems [PDF]
E3S Web of Conferences, 2023 In the article, the problems of mutual diffusion, represented by a system of nonlinear differential equations of parabolic type, were modeled following numerical solving methods.
Muhamediyeva D. K. +4 more
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