Results 81 to 90 of about 43,973 (335)

Fractal Dimension of a Random Invariant Set and Applications

Journal of Applied Mathematics, 2013
We prove an abstract result on random invariant sets of finite fractal dimension. Then this result is applied to a stochastic semilinear degenerate parabolic equation and an upper bound is obtained for the random attractors of fractal dimension.
Gang Wang, Yanbin Tang
doaj   +1 more source

Observation of ν = 5/2 Fractional Quantum Hall Effect in Trilayer Graphene Proximitized by V‐Doped WSe2

Advanced Materials, EarlyView.
Even‐denominator 5/2 fractional state in trilayer graphene/V‐doped WSe2 heterostructure, mediated by proximitized magnetism, is demonstrated. An exceptionally high energy gap ∆5/2 (48 K) for the 5/2 state, significantly surpassing previous values in semiconductors and bilayer graphene (∆5/2 < 1 K) is reported.
Pramod Ghising, Ashok Mondal, Mallesh Baithi, Jongchan Kim, Jieun Lee, Kenji Watanabe, Takashi Taniguchi, Young Hee Lee   +7 more
wiley   +1 more source

A Note on the Domain of Attraction for the Stationary Solution to a Singularly Perturbed Parabolic Equation

Моделирование и анализ информационных систем, 2017
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
doaj   +1 more source

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, C. Kipnis, C. Toninelli, D. Aldous, E. Janvresse, F. Ritort, H. M. Jaeger, H. Spohn, H.-T. Yau, J. D. Deuschel, J. Kurchan, J. Quastel, L. Bertini, M. Mezard, M. Sellitto, N. Cancrini, N. Cancrini, P. G. De Benedetti, R. Arratia, S. Feng, S. L. Lu, T. R. Kirkpatrick, T. R. Kirkpatrick, W. Kob   +23 more
core   +2 more sources

Inverse Spillover and Dimensionality Effects on Interstitial Hydrogen

Advanced Materials Interfaces, EarlyView.
Interstitial hydrogen behaves distinctly at interfaces compared to the bulk. Vanadium films show proximity‐dependent hydrogen depletion near interfaces–an inverse of hydrogen spillover. Ion beam and resistivity measurements reveal Fe/V‐superlattices have lower hydrogen solubility and higher critical temperature than Cr/V due to proximity‐induced finite
Kristina Komander, Gunnar K. Pálsson, Sotirios A. Droulias, Theofanis Tsakiris, David Sörme, Max Wolff, Daniel Primetzhofer   +6 more
wiley   +1 more source

Band Offsets from Angle‐Resolved Valence Band Photoemission Spectroscopy

Advanced Materials Interfaces, EarlyView.
Soft X‐ray Angle‐Resolved Photoemission Spectroscopy (SX‐ARPES) is employed to quantify conduction band offsets at semiconductor surfaces and interfaces by fitting valence band photoemission spectra. This method surpasses traditional techniques, providing accurate results for InAs and InSb systems.
Procopios Constantinou, Maximilian Daschner, Hang Li, Fabiano Corsetti, Mohana Rajpalk, Samuel M. L. Teicher, Jan Gukelberger, Peter Krogstrup, Sergej Schuwalow, Vladimir N. Strocov, Gabriel Aeppli, Niels B. M. Schröter   +11 more
wiley   +1 more source

Uniqueness and stability of solutions without the boundary condition

Boundary Value Problems, 2019
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

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, Jiebao Sun, Yuanyuan Ke, Rui Huang   +3 more
openaire   +2 more sources

Boosting the Transparency of Metallic SrNbO3 Through Ti Doping

Advanced Materials Interfaces, EarlyView.
Transparent conductors are optoelectronic devices of high demand. The present study presents a path on how to boost the figure of merit of the recently proposed perovskite oxides: Ti doping reduces electronic correlations and thus the absorption above the plasma frequency, while keeping the plasma frequency below the visible range.
Shammi Kumar, Liang Si, Karsten Held, Sankar Dhar, Rakesh Kumar, Priya Johari   +5 more
wiley   +1 more source

Approximate general solution of degenerate parabolic equations related to population genetics

Electronic Journal of Differential Equations, 1995
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