Uniqueness and stability of solutions without the boundary condition
A parabolic equation related to the p-Laplacian is considered. If the equation is degenerate on the boundary, then demonstrating the regularity on the boundary is difficult, the trace on the boundary cannot be defined, in general.
Huashui Zhan
doaj +1 more source
Blow-Up Analysis for a Quasilinear Degenerate Parabolic Equation with Strongly Nonlinear Source
We investigate the blow-up properties of the positive solution of the Cauchy problem for a quasilinear degenerate parabolic equation with strongly nonlinear source , where , , and , ,, and give a secondary critical exponent on the decay asymptotic ...
Pan Zheng +4 more
semanticscholar +1 more source
Group Delay Dispersion Measurements on Mid‐Infrared Supermirrors
Group delay dispersion of novel semiconductor‐based optics is measured in the mid‐infrared spectral range (2.5 to 4.8 μm$\rm \umu{\rm m}$). Comparisons are made between simulations, measurements conducted with a home‐built white light interferometer, and measurements performed with a commercially available FTIR.
Ulrich Galander +3 more
wiley +1 more source
Approximate general solution of degenerate parabolic equations related to population genetics
degenerate parabolic equation related to population genetics and implements a computational procedure. The result gives a theoretical foundation to the computer algebraic approach for degenerate partial differential equations and introduces a new ...
Kazuo Amano
doaj
Characterization of Lorenz number with Seebeck coefficient measurement
In analyzing zT improvements due to lattice thermal conductivity (κL) reduction, electrical conductivity (σ) and total thermal conductivity (κTotal) are often used to estimate the electronic
Hyun-Sik Kim +4 more
doaj +1 more source
Chiral Metasurfaces with Multidimensional Tunability for Optical Chiral States
A novel bilayer perovskite chiral metasurface enables tunable transitions between BIC‐associated vortex centres and circularly polarized states via rotational symmetry control. Breaking rotational symmetry and applying in situ rotation to the upper layer allows precise, omnidirectional tuning of C points in momentum space. This evolution forms a Möbius‐
Dayang Lin, Abbas Ghaffari, Qing Gu
wiley +1 more source
Host Tuned Luminescence Lifetime Thermometers for Imaging Boiling Thermal Dynamics Through Bubbles
The bismuth to vanadate distance is adjusted in solid solutions of ytrrium and scandium orthovanadate to design a lifetime‐based luminescence thermometer with optimal temperature resolution at 100 °C. It is applied on the surface of a boiling channel to observe the thermal signatures of bubble growth and liquid film dry‐out.
Sacha Hirsch +9 more
wiley +1 more source
Approximate solution to a hybrid model with stochastic volatility: a singular-perturbation strategy [PDF]
We study a hybrid model of Schobel-Zhu-Hull-White-type from a singular-perturbation-analysis perspective. The merit of the paper is twofold: On one hand, we find boundary conditions for the deterministic non-linear degenerate parabolic partial ...
Fatima, T, Grzelak, L, Hendriks, H
core
On the parabolic potentials in degenerate‐type heat equation [PDF]
Using distributions theory technique we introduce parabolic potentials for the heat equation with one time‐dependent coefficient (not everywhere positive and continuous) at the highest space‐derivative, discuss their properties, and apply obtained results to three illustrative problems.
openaire +1 more source
A flexible metallic metasurface sticker is placed on a dielectric metasurface to study interlayer optical coupling. A bright quadrupolar surface lattice resonance in the top layer and a dark quadrupole mode in the bottom layer hybridize into symmetric and antisymmetric modes.
Tien Yang Lo +3 more
wiley +1 more source

