Results 71 to 80 of about 40,292 (276)

Higher integrability for weak solutions to a degenerate parabolic system with singular coefficients

Boundary Value Problems, 2019
In this paper, we study the degenerate parabolic system uti+Xα∗(aijαβ(z)Xβuj)=gi(z,u,Xu)+Xα∗fiα(z,u,Xu), $$ u_{t}^{i} + X_{\alpha }^{*} \bigl(a_{ij}^{\alpha \beta }(z){X_{\beta }} {u^{j}}\bigr) = {g_{i}}(z,u,Xu) + X_{\alpha }^{*} f_{i}^{\alpha }(z,u,Xu),
Yan Dong, Guangwei Du, Kelei Zhang
doaj   +1 more source

When Poor Exciton Dissociation Limits Photocurrents in Organic Solar Cells: Why Low Offset Non‐Fullerene Acceptor Blends Can't Be Efficient

Advanced Materials, EarlyView.
The energetic offset between the donor and the acceptor components in organic photoactive layers is central to the tradeoff between photovoltage and photocurrent losses. This Perspective covers the most important issues surrounding this topic in non‐fullerene acceptor blends, from the difficulty of accurately determining state energies and driving ...
Dieter Neher, Manasi Pranav
wiley   +1 more source

Null controllability of nonlinear control systems governed by coupled degenerate parabolic equations

Electronic Journal of Differential Equations, 2019
This article concerns the null controllability of a nonlinear control system governed by coupled degenerate parabolic equations. We first establish the Carleman estimate and the observability inequality for solutions to the conjugate problem.
Fengdan Xu, Jingxue Yin, Mingjun Zhou, Qian Zhou   +3 more
doaj  

Blow-Up and Global Existence for a Degenerate Parabolic System with Nonlocal Sources

Discrete Dynamics in Nature and Society, 2012
This paper investigates the blow-up and global existence of nonnegative solutions for a class of nonlocal degenerate parabolic system. By using the super- and subsolution techniques, the critical exponent of the system is determined. That is, if Pc=p1q1−(
Ling Zhengqiu, Wang Zejia
doaj   +1 more source

Semilinear degenerate parabolic systems and distributed capacitance models

Discrete & Continuous Dynamical Systems - A, 1995
The authors deal with a two-scale microstructure model of current flow in a medium with continuously distributed capacitance. The model is extended to include nonlinearities in the conductance across the interface between the local capacitors and the global conducting medium.
Hollingsworth, Brooke L., Showalter, R. E.   +1 more
openaire   +1 more source

Resistance to Overdoping Allows Over 2000 S cm−1 Conductivity in P(g3BTTT) With Anion‐Exchange Doping

Advanced Materials, EarlyView.
Anion‐exchange doping of conjugated polymers is an effective way to achieve high conductivities. Here, we report over 2000 S cm−1 electrical conductivity for doped P(g3BTTT). In addition, we show that P(g3BTTT) sustains exceptionally high doping levels without any drop in the charge mobility.
Basil Hunger, Maximilian M. Horn, Eva Röck, Diego Rosas Villalva, Lize Bynens, Jochen Vanderspikken, Christina Kousseff, Silène Gobeil, Olivier Bardagot, Nesibe Akmanşen‐Kalayci, Sarah H. Tolbert, Iain McCulloch, Wouter Maes, Demetra Tsokkou, Natalie Banerji   +14 more
wiley   +1 more source

Gradient Bounds for Strongly Singular or Degenerate Parabolic Systems

Journal of Differential Equations
We consider weak solutions $u:Ω_{T}\rightarrow\mathbb{R}^{N}$ to parabolic systems of the type \[ u_{t}-\mathrm{div}\,A(x,t,Du)=f \qquad \mathrm{in}\ Ω_{T}=Ω\times(0,T), \] where $Ω$ is a bounded open subset of $\mathbb{R}^{n}$ for $n\geq2$, $T>0$ and the datum $f$ belongs to a suitable Orlicz space.
Pasquale Ambrosio, Fabian Bäuerlein
openaire   +5 more sources

Two‐Dimensional Reconfigurable Photodiode for In‐Sensor Color Filtering and Spectral Logic

Advanced Materials, EarlyView.
By harnessing the photodoping of different aggregates, the device exhibits wavelength‐dependent volatile‐to‐nonvolatile photoresponses that can be reconfigured via bias modulation. This enables in‐sensor color filtering and spectral‐encrypted information processing, eliminating reliance on external optical filters or post‐processing algorithms ...
Xiaokun Guo, Yaoqiang Zhou, Yufeng Zhang, Xinyi Zhao, Yue Pang, Lei Tong, Zhipei Sun, Jianbin Xu   +7 more
wiley   +1 more source

A parabolic system with strong absorption modeling dry-land vegetation

Electronic Journal of Differential Equations, 2021
We consider a variant of a nonlinear parabolic system, proposed by Gilad, von Hardenberg, Provenzale, Shachak and Meron, in desertification studies, in which there is a strong absorption. The system models the mutual interaction between the biomass,
Jesus Ildefonso Diaz, Danielle Hilhorst, Paris Kyriazopoulos   +2 more
doaj  

Preconditioned iterative method for reactive transport with sorption in porous media

Mathematical Modelling and Analysis, 2020
This work deals with the numerical solution of a nonlinear degenerate parabolic equation arising in a model of reactive solute transport in porous media, including equilibrium sorption.
Michel Kern, Abdelaziz Taakili, Mohamed M. Zarrouk   +2 more
doaj   +1 more source