Results 1 to 10 of about 12,656 (174)
Quasilinear Parabolic Equations Associated with Semilinear Parabolic Equations
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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The quasilinear parabolic kirchhoff equation
Open Mathematics, 2017 In this paper the existence of solution of a quasilinear generalized Kirchhoff equation with initial – boundary conditions of Dirichlet type will be studied using the Leray – Schauder principle.
Dawidowski Łukasz
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On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation [PDF]
Discrete Dynamics in Nature and Society, 2009 By Oleinik's line method, we study the existence and the uniqueness of the classical solution of the Cauchy problem for the following equation in [0,T]×R2: ∂xxu+u∂yu−∂tu=f(⋅,u), provided that T is suitable small.
Zongqi Liang, Huashui Zhan
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The nonlocal stefan problem for quasilinear parabolic equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 In this paper, we deal with free boundary problem with nonlocal boundary condition for quasilinear parabolic equation. For the solutions of the problem apriory estimates of Shauder’s type are established.
Jozil O Takhirov, Rasul N Turaev
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Determination of a diffusion coefficient in a quasilinear parabolic equation
Open Mathematics, 2017 This paper investigates the inverse problem of finding the time-dependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions.
Kanca Fatma
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Abstract quasilinear parabolic equations
Mathematische Annalen, 1984 The author deals with an abstract quasilinear parabolic problem \(u'(t)=A(t,u(t))u(t)+f(t,u(t)), t>0\), \(u(0)=u_ 0\) in a Banach space X. His theorems on existence and uniqueness are such that a concrete quasilinear parabolic problem can be attacked without imposing growth conditions on the coefficients.
exaly +2 more sources
Monotone economical schemes for quasilinear parabolic equations
Mathematical Modelling and Analysis, 2002 In order to approximate a multidimensional quasilinear parabolic equation with unlimited nonlinearity the economical vector‐additive scheme is constructed.
N. V. Dzenisenko +2 more
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Constrained Evolution for a Quasilinear Parabolic Equation [PDF]
Journal of Optimization Theory and Applications, 2016 Key words: feedback control, quasilinear parabolic equation, monotone nonlinearities, convex ...
Colli, Pierluigi +2 more
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Finite-difference method for the Gamma equation on non-uniform grids
Vietnam Journal of Science, Technology and Engineering, 2022 We propose a new monotone finite-difference scheme for the second-order local approximation on a nonuniform grid that approximates the Dirichlet initial boundary value problem (IBVP) for the quasi-linear convection-diffusion equation with unbounded ...
Le Minh Hieu +2 more
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Journal of Function Spaces, 2021 This paper deals with a class of quasilinear parabolic equation with power nonlinearity and nonlocal source under homogeneous Dirichlet boundary condition in a smooth bounded domain; we obtain the blow-up condition and blow-up results under the condition
Xiaorong Zhang, Zhoujin Cui
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