Results 61 to 70 of about 1,241 (227)
Electronic Journal of Differential Equations, 1996 initial data are established for a quasilinear functional reaction-diffusion equation which arises from a two-dimensional energy balance climate model.
Georg Hetzer
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High-Order Difference Scheme for Time-Fractional Quasilinear Parabolic Equations
MathematicsMathematical modeling of heat and mass transfer processes in porous media using fractional derivative equations is of great practical importance. Within the framework of such models, obtaining analytical solutions to the corresponding initial–boundary ...
Miglena N. Koleva, Lubin G. Vulkov
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Electronic Journal of Differential Equations, 2016 We prove the existence and uniqueness of singular solutions (fundamental solution, very singular solution, and large solution) of quasilinear parabolic equations with absorption for Dirichlet boundary condition. We also show the short time behavior of
Nguyen Anh Dao
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Известия высших учебных заведений: Нефть и газ, 2018 The article deals with the classical mathematical model of filtration of two immiscible liquids in a non-deformable porous medium taking into account capillary forces. It is the Muskat - Leverett model. The model is based on the experimentally determined
I. G. Telegin, O. B. Bocharov
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Quasilinear parabolic equations with localized reaction
Advances in Differential Equations, 2005 In this paper, we study a nonnegative blow-up solution of the Dirichlet problem for a quasilinear parabolic equation $(u^{\alpha})_t=\Delta u +f(u) + g(u(x_0(t),t))$ in $B(R)$, where $B(R)=\{ x \in \mathbf{R^N}\,;\, |x| < R\}$, $0 < \alpha \le 1$, $x_0(t)\in C^{\infty}([0,\infty) ;B(R))$ satisfies $x_0(t)\not = 0$, and $f(\xi)$ and $g(\xi)$ satisfy ...
Fukuda, Isamu, Suzuki, Ryuichi
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Existence of solutions for quasilinear parabolic equations at resonance
Electronic Journal of Differential Equations, 2013 In this article, we show the existence of nontrivial solutions for a class of quasilinear parabolic differential equations. To obtain the solution in a weighted Sobolev space, we use the Galerkin method, Brouwer's theorem, and a compact Sobolev-type ...
Gao Jia, Xiao-Juan Zhang, Li-Na Huang
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Uniqueness of limit flow for a class of quasi-linear parabolic equations
Advances in Nonlinear Analysis, 2017 We investigate the issue of uniqueness of the limit flow for a relevant class of quasi-linear parabolic equations defined on the whole space. More precisely, we shall investigate conditions which guarantee that the global solutions decay at infinity ...
Squassina Marco, Watanabe Tatsuya
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Journal of Optimization, Differential Equations and Their ApplicationsA nonlinear boundary value problem is considered for a system of parabolic equations in an inhomogeneous region, that requires conjugation conditions.
Olha R. Michuta +3 more
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Sturm attractors for quasilinear parabolic equations [PDF]
Journal of Differential Equations, 2018 21 pages, 1 ...
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Asymptotic behavior of solutions to a degenerate quasilinear parabolic equation with a gradient term
Electronic Journal of Differential Equations, 2015 This article concerns the asymptotic behavior of solutions to the Cauchy problem of a degenerate quasilinear parabolic equations with a gradient term.
Huilai Li +3 more
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