Results 61 to 70 of about 115,619 (374)
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
Strong solutions of the thin film equation in spherical geometry
, 2017 We study existence and long-time behaviour of strong solutions for the thin film equation using a priori estimates in a weighted Sobolev space. This equation can be classified as a doubly degenerate fourth-order parabolic and it models coating flow on ...
A Burchard +11 more
core +1 more source
Advanced Functional Materials, EarlyView.A novel stratum corneum‐inspired zwitterionic hydrogel is developed for intelligent, flexible sensors, featuring intrinsic water retention and anti‐freezing properties. The quasi‐gel, composed of hygroscopic polymers and bound water, maintains its softness across a wide range of humidity.
Meng Wu +8 more
wiley +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
doaj +1 more source
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
core +1 more source
Low‐Loss Far‐Infrared Surface Phonon Polaritons in Suspended SrTiO3 Nanomembranes
Advanced Functional Materials, EarlyView.The low‐loss, highly confined, and thickness‐tunable surface phonon polaritons are demonstrated in the far‐infrared regime within transferable freestanding SrTiO3 membranes, achieving high figures of merit comparable to the previous record values from the vdW materials.
Konnor Koons +8 more
wiley +1 more source
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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High Thermoelectric Performance in Low‐Cost Cu8SiSxSe6‐x Argyrodite
Advanced Functional Materials, EarlyView.This study discovers the great potential of Cu8SiSxSe6‐x argyrodites as new, low‐cost, Te‐free thermoelectric materials. The proposed defect scheme suppresses the phase transition, enhances the weighted mobility and optimizes the grain boundary contacts.
Taras Parashchuk +7 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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On some degenerate non-local parabolic equation associated with the fractional $p$-Laplacian [PDF]
, 2015 We consider a degenerate parabolic equation associated with the fractional $% p $-Laplace operator $\left( -\Delta \right) _{p}^{s}$\ ($p\geq 2$, $s\in \left( 0,1\right) $) and a monotone perturbation growing like $\left\vert s\right\vert ^{q-2}s,$ $q>p$
C. Gal, M. Warma
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