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
doaj +1 more source
Unique continuation and approximate controllability for a degenerate parabolic equation [PDF]
arXiv.org, 2011 This article studies unique continuation for weakly degenerate parabolic equations in one-space dimension. A new Carleman estimate of local type is obtained to deduce that all solutions that vanish on the degeneracy set, together with their conormal ...
P. Cannarsa, J. Tort, Masahiro Yamamoto
semanticscholar +1 more source
Melt Grafting of Geometry‐Tailored Voltage Stabilizers for High‐Performance Polypropylene Insulation
Advanced Functional Materials, EarlyView.A scalable one‐step melt grafting strategy is developed to enhance the dielectric properties of isotactic polypropylene by covalently incorporating thermally stable aromatic voltage stabilizers. This solvent‐free approach improves volume resistivity and DC breakdown strength through deep trap formation and charge localization, offering a sustainable ...
Nazirul Mubin bin Normansah +9 more
wiley +1 more source
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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Wellposedness and regularity for a degenerate parabolic equation arising in a model of chemotaxis with nonlinear sensitivity [PDF]
, 2012 We study a one-dimensional parabolic PDE with degenerate diffusion and non-Lipschitz nonlinearity involving the derivative. This evolution equation arises when searching radially symmetric solutions of a chemotaxis model of Patlak-Keller-Segel type.
Alexandre Montaru
semanticscholar +1 more source
Role of Histidine‐Containing Peptoids in Accelerating the Kinetics of Calcite Growth
Advanced Functional Materials, EarlyView.Amphiphilic histidine‐containing peptoids mimic carbonic anhydrase (CA) to accelerate calcite step growth. In the presence of Zn2+, they promote the deprotonation of HCO3−, the desolvation of Ca2+, and the reorganization of interfacial hydration layers, thereby reducing the activation barrier for calcite growth.
Mingyi Zhang +5 more
wiley +1 more source
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
doaj +1 more source
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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Regularity of a degenerate parabolic equation appearing in Vecer's unified pricing of Asian options
, 2015 Vecer derived a degenerate parabolic equation with a boundary condition characterizing the price of Asian options with generally sampled average. It is well understood that there exists a unique probabilistic solution to such a problem but it remained ...
Dong, Hongjie, Kim, Seick
core +1 more source
Linear parabolic equations with strong boundary degeneration [PDF]
Journal of Elliptic and Parabolic Equations, 2020 As an application of the theory of linear parabolic differential equations on noncompact Riemannian manifolds, developed in earlier papers, we prove a maximal regularity theorem for nonuniformly parabolic boundary value problems in Euclidean spaces.
openaire +2 more sources