Results 51 to 60 of about 44,690 (331)
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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An inverse backward problem for degenerate two-dimensional parabolic equation [PDF]
Opuscula Mathematica, 2020 This paper deals with the determination of an initial condition in the degenerate two-dimensional parabolic equation \[\partial_{t}u-\mathrm{div}\left(a(x,y)I_2\nabla u\right)=f,\quad (x,y)\in\Omega,\; t\in(0,T),\] where \(\Omega\) is an open, bounded ...
Khalid Atifi +2 more
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Mixed problems for degenerate abstract parabolic equations and applications [PDF]
, 2017 Degenerate abstract parabolic equations with variable coefficients are studied. Here the boundary conditions are nonlocal. The maximal regularity properties of solutions for elliptic and parabolic problems and Strichartz type estimates in mixed $L_{p ...
Sahmurova, Aida, Shakhmurov, Veli
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Advanced Engineering Materials, EarlyView.This article investigates residual stress formation during single‐spot nanosecond laser ablation of stainless steel. Experimental validation and a parametric study using finite element simulations are employed to analyze thermal effects, ablation dynamics, and stress evolution.
Yutaka Tsumura +7 more
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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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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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Periodic solutions for a degenerate parabolic equation
Applied Mathematics Letters, 2009 AbstractIn this work, we establish the existence of nontrivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms. The key is the using of Moser’s iteration technique and the theory of the Leray–Schauder degree.
Jiebao Sun +3 more
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Advanced Engineering Materials, EarlyView.Rotary friction welding of steel E355 and the aluminum alloy EN AW‐6082 can lead to the formation of brittle intermetallic phases. The primary process parameters are varied in order to determine their influence on this intermetallic phase formation and the resulting mechanical properties.
Laura Huber +4 more
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Coefficient inverse problem for the strongly degenerate parabolic equation
Karpatsʹkì Matematičnì Publìkacìï, 2023 The coefficient inverse problem for the degenerate parabolic equation is investigated. The minor coefficient of this equation is the polynomial of the first power with respect to the space variable with two unknown time-dependent functions.
N.M. Huzyk, P.Y. Pukach, M.I. Vovk
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Exclusion processes with degenerate rates: convergence to equilibrium and tagged particle
, 2003 Stochastic lattice gases with degenerate rates, namely conservative particle systems where the exchange rates vanish for some configurations, have been introduced as simplified models for glassy dynamics.
A. Barrat +23 more
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