Results 81 to 90 of about 1,356,954 (292)
We consider a boundary-value problem for a singularly perturbed parabolic equation with an initial function independent of a perturbation parameter in the case where a degenerate stationary equation has smooth possibly intersecting roots.
Mikhail A. Terentyev
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Deterministic Transferable Planar Dielectric Mirrors for Investigating Strong Light–Matter Coupling
Transferable dielectric distributed Bragg reflectors enable the deterministic assembly of high‐quality planar microcavities while maintaining the intrinsic properties of quantum materials during fabrication. The resulting structures exhibit robust exciton‐photon coupling in monolayer WS2${\rm WS}_{2}$ from cryogenic to room temperature, establishing a ...
Atanu Patra +4 more
wiley +1 more source
On the viscosity solutions of a stochastic differential utility problem [PDF]
We prove existence, uniqueness and gradient estimates of stochastic differential utility as a solution of the Cauchy problem for degenerate nonlinear partial differential equation.
Andrea Pascucci, Fabio Antonelli
core
Almost Periodicity and Degenerate Parabolic Equations
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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
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This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong +7 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
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Phase Diagrams and Piezoelectric Properties of Wurtzite Al1−x−yScxGdyN Heterostructural Alloys
This study demonstrates ferroelectricity and piezoelectric properties improvement of quaternary wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films, guided by density functional theory calculations. Wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films have a high optical bandgap, enhanced piezoelectric ...
Julia L. Martin +11 more
wiley +1 more source
On the Cauchy Problem for a Degenerate Parabolic Equation
Existence and uniqueness of global positive solutions to the degenerate parabolic problem u_t = f(u)\Delta u \ \ \mathrm {in} \ \ \mathbb R^n \times (0, \infty) u|_{t=0} = u–0 with
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