Results 1 to 10 of about 1,356,954 (292)

On the Tonelli method for the degenerate parabolic Cauchy problem with functional argument [PDF]

Opuscula Mathematica, 2014
The degenerate parabolic Cauchy problem is considered. A functional argument in the equation is of the Hale type. As a limit of piecewise classical solutions we obtain a viscosity solution of the main problem. Presented method is an adaptation of Tonelli'
Krzysztof A. Topolski
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Parabolic Nonlinear Second Order Slip Reynolds Equation: Approximation and Existence

Nonlinear Analysis, 2007
This work studies an initial boundary value problem for nonlinear degenerate parabolic equation issued from a lubrication slip model. Existence of solutions is established through a semi discrete scheme approximation combined with some a priori estimates.
K. Ait Hadi
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Singularity for a nonlinear degenerate hyperbolic-parabolic coupled system arising from nematic liquid crystals

Advances in Nonlinear Analysis, 2022
This article focuses on the singularity formation of smooth solutions for a one-dimensional nonlinear degenerate hyperbolic-parabolic coupled system originating from the Poiseuille flow of nematic liquid crystals.
Hu Yanbo
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Convergence analysis of option drift rate inverse problem based on degenerate parabolic equation

Results in Applied Mathematics
In this paper, we study the convergence of the inverse drift rate problem of option pricing based on degenerate parabolic equations, aiming to recover the stock price drift rate function by known option market prices.
Miao-miao Song, Zui-cha Deng, Xiang Li, Qiu Cui   +3 more
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Regularity of random attractors for stochastic semilinear degenerate parabolic equations

Electronic Journal of Differential Equations, 2012
We consider the stochastic semilinear degenerate parabolic equation $$ du+[- operatorname{div}(sigma(x)abla u) + f(u) + lambda u]dt = gdt+ sum_{j=1}^{m}h_j{domega_j} $$ in a bounded domain $mathcal{O}subset mathbb {R}^N$, with the nonlinearity ...
Cung The Anh, Tang Quoc Bao, Nguyen Van Thanh   +2 more
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Singularity and Decay Estimates for a Degenerate Parabolic Equation

Complexity, 2021
In this paper, a degenerate parabolic equation ut−divxθ∇u=xaup with p>1 and ...
Dongyan Li
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Quasiconformal mappings and degenerate elliptic and parabolic equations

Le Matematiche, 1987
In this paper two Harnak inequalities are proved concerning a degenerate elliptic and a degenerate parabolic equation. In both cases the weight giving the degeneracy is a power of the jacobian of a quasiconformal mapping.
Filippo Chiarenza, Michelangelo Franciosi   +1 more
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On a degenerate parabolic equation from double phase convection

Advances in Difference Equations, 2021
The initial-boundary value problem of a degenerate parabolic equation arising from double phase convection is considered. Let a ( x ) $a(x)$ and b ( x ) $b(x)$ be the diffusion coefficients corresponding to the double phase respectively.
Huashui Zhan
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Fractal Dimension of a Random Invariant Set and Applications

Journal of Applied Mathematics, 2013
We prove an abstract result on random invariant sets of finite fractal dimension. Then this result is applied to a stochastic semilinear degenerate parabolic equation and an upper bound is obtained for the random attractors of fractal dimension.
Gang Wang, Yanbin Tang
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Existence of solutions for a degenerate seawater intrusion problem

Electronic Journal of Differential Equations, 2005
We study a seawater intrusion problem in a confined aquifer. This process can be formulated as a coupled system of partial differential equations which includes an elliptic and a degenerate parabolic equation.
Mohamed El Alaoui Talibi, Moulay Hicham Tber   +1 more
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