Results 81 to 90 of about 420,318 (376)

Gradient estimates for degenerate quasi-linear parabolic equations

, 2010
For a general class of divergence type quasi-linear degenerate parabolic equations with differentiable structure and lower order coefficients form bounded with respect to the Laplacian we obtain $L^q$-estimates for the gradients of solutions, and for the
Liskevich, Vitali, Skrypnik, Igor I., Sobol, Zeev   +2 more
core   +1 more source

Null controllability of a coupled system of degenerate parabolic equations with lower order terms

Electronic Journal of Differential Equations, 2019
This article concerns the null controllability of a control system governed by coupled degenerate parabolic equations with lower order terms. For these equations, the convection terms cannot be controlled by the diffusion terms.
Jianing Xu, Qian Zhou, Yuanyuan Nie
doaj  

Tailoring Robust Quantum Anomalous Hall Effect via Entropy‐Engineering

Advanced Materials, EarlyView.
Bandstructure renormalization, without (w/o) spin‐orbit interaction (SOI) (left) and with SOI (right), in the low‐energy Dirac bands of zero‐entropy (purple) and entropic (green) VCl3 monolayer (ML) with long‐range ordering (LRO). Abstract The development of quantum materials and the tailoring of their functional properties is of fundamental interest ...
Syeda Amina Shabbir, Frank Fei Yun, Muhammad Nadeem, Xiaolin Wang   +3 more
wiley   +1 more source

Schauder estimates for parabolic equations with degenerate or singular weights [PDF]

Calculus of Variations and Partial Differential Equations
We establish some $$C^{0,\alpha }$$ C 0 , α and $$C^{1,\alpha }$$
A. Audrito, Gabriele Fioravanti, Stefano Vita   +2 more
semanticscholar   +1 more source

Intensive Widmannstätten Nanoprecipitates Catalyze SnTe With State‐of‐the‐Art Thermoelectric Performance

Advanced Materials, EarlyView.
The intensive lath‐shaped Ag2Te Widmannstätten nanoprecipitates are in situ generated in SnTe via AgPbSbTe3 alloying, and align with the formation of the parallel type and twin type interfaces. These Widmannstätten nanoprecipitates effectively scatter phonons to reduce the lattice thermal conductivity, resulting in a significantly enhanced average ZT ...
Tu Lyu, Xiao‐Lei Shi, Lipeng Hu, Moran Wang, Jiaying Peng, Siyuan Song, Haoran Luo, Wenyi Chen, Meng Li, Feng Rao, Zhi‐Gang Chen   +10 more
wiley   +1 more source

Mie‐Resonant Metasurfaces with Controlled Silicon Oxidation in Electron‐Beam Deposition

Advanced Materials Interfaces, EarlyView.
Electron‐beam deposition is optimized to prevent silicon oxidation by controlling chamber pressure and deposition rate, yielding refractive index values comparable to other methods. This tunability enables precise control of optical properties. Mie‐resonant metasurfaces exhibit strong, tunable collective resonances, allowing the fabrication of silicon ...
Neal Raney, Viktoriia E. Babicheva
wiley   +1 more source

Cahn-Hilliard Approach to Some Degenerate Parabolic Equations with Dynamic Boundary Conditions [PDF]

System Modelling and Optimization, 2015
In this paper the well-posedness of some degenerate parabolic equations with a dynamic boundary condition is considered. To characterize the target degenerate parabolic equation from the Cahn-Hilliard system, the nonlinear term coming from the convex ...
T. Fukao
semanticscholar   +1 more source

Supergravity and In‐Situ Evaporation Induced Well‐Aligned and Self‐Crosslinked 2D Material‐Based Thin Films

Advanced Materials Interfaces, EarlyView.
The supergravity and in‐situ evaporation are utilized to produce GO thin films with a record‐high mechanical strength of 540 MPa. The supergravity confines the 2D flakes within a very thin layer and creates a large all‐directional shear stress to induce the superalignment, while in‐situ evaporation accelerates the dehydration and facilitates the ester ...
Dawei Zhang, Abdallah Kamal, Baosong Li, Dezhuang Ji, Liming Zhao, Kang Cheng, Xuan Li, Sharmarke Mohamed, Qingwen Li, Liao Kin, Lianxi Zheng   +10 more
wiley   +1 more source

Singular solutions of some nonlinear parabolic equations with spatially inhomogeneous absorption [PDF]

, 2007
We study the limit behaviour of solutions of a class of solutions of nonlinear parabolic equations with a degenerate strong absorption. We prove that two types of phenomena can occur: the pointwise singularity or the formation of razor blades (or ...
Shishkov, Andrey, Veron, Laurent
core   +2 more sources

Microfluidic Spinning of PEDOT:PSS Microfibers for Nerve Guidance Conduits

Advanced Materials Technologies, EarlyView.
This publication explores the fabrication of microfluidically spun PEDOT:PSS microfibers for conductive nerve guidance conduits (NGCs). It details the spinning process, fiber characterization, and biocompatibility assessment. The study highlights the fibers' mechanical and electrical properties, non‐cytotoxicity, and potential for nerve regeneration or
Matthias Geiger, Judith Frank, Felix Schmitz, Richard Paul, Sebastian Bernhard Rauer, Stanislav Koulchitsky, Angelika Lampert, John Linkhorst, Matthias Wessling   +8 more
wiley   +1 more source