Results 31 to 40 of about 209,741 (271)

Gaussian estimates for fundamental solutions of second order parabolic systems with time-independent coefficients

, 2007
Auscher, McIntosh and Tchamitchian studied the heat kernels of second order elliptic operators in divergence form with complex bounded measurable coefficients on $\mathbb{R}^n$.
Kim, Seick
core   +2 more sources

Silver Ion‐Mediated [hk1]‐Oriented Sb2Se3 Crystal Growth for Efficient Photoelectrochemical Hydrogen Evolution

Advanced Functional Materials, EarlyView.
Ag+‐mediated hydrothermal crystal engineering promotes preferential [hk1]‐oriented growth of Sb2Se3 via an ultrathin MoOx interlayer, improving crystallinity and suppressing non‐radiative recombination. The optimized Ag+ treatment photocathode delivers 24.7 mA cm−2 at 0 VRHE and improved stability, revealing an ion‐modulated route to high‐performance ...
Ziying Zhang, Zhenbin Wang, Mirjana Dimitrievska, Miloš Baljozović, Yongping Gan, Pardis Adams, Sanghyun Bae, Thomas Moehl, Wenzhe Niu, Xiang jiu Guan, S. David Tilley   +10 more
wiley   +1 more source

A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations

Boundary Value Problems, 2019
In this paper, we present a reduced high-order compact finite difference scheme for numerical solution of the parabolic equations. CFDS4 is applied to attain high accuracy for numerical solution of parabolic equations, but its computational efficiency ...
Baozou Xu, Xiaohua Zhang
doaj   +1 more source

Using Long‐Chain Polymechanophores to Explore the Differences in Mechanoactivation During Nozzle Flow and Ultrasonication

Advanced Functional Materials, EarlyView.
Flow through a nozzle is a common component of most fluid‐based polymer processing techniques such as spray drying, inkjet printing, extrusion. An ultrahigh molecular weight multi‐mechanophore system is used to probe the differences in the distribution of mechanical activation observed between nozzle flow and ultrasonication; the gold standard ...
Niamh Willis‐Fox, Maggie Horst, Etienne Rognin, Yan Xia, Ronan Daly   +4 more
wiley   +1 more source

Optimal Control Problems of a Class of Nonlinear Degenerate Parabolic Equations

Mathematics
The optimal control problems of degenerate parabolic equations have many applications in economics, physics, climatology, and so on. Motivated by the applications, we consider the optimal control problems of a class of nonlinear degenerate parabolic ...
Yang Na, Tianjiao Men, Runmei Du, Yingjie Zhu   +3 more
doaj   +1 more source

Mixed problems for degenerate abstract parabolic equations and applications [PDF]

, 2017
Degenerate abstract parabolic equations with variable coefficients are studied. Here the boundary conditions are nonlocal. The maximal regularity properties of solutions for elliptic and parabolic problems and Strichartz type estimates in mixed $L_{p ...
Sahmurova, Aida, Shakhmurov, Veli
core   +1 more source

Parabolic oblique derivative problem in generalized Morrey spaces

, 2013
We study the regularity of the solutions of the oblique derivative problem for linear uniformly parabolic equations with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized Morrey space than the ...
A Akbulut, A Maugeri, D Gilberg, D Sarason, E Nakai, EB Fabes, F Chiarenza, F Chiarenza, F John, LG Softova, LG Softova, LG Softova, LG Softova, Lubomira G. Softova, M Bramanti, M Bramanti, P Acquistapace, PW Jones, R Adams, VS Guliyev   +19 more
core   +1 more source

From Clinic to Computation: Multiscale Bioengineering Strategies for Durable Biological Aortic Valve Replacements

Advanced Functional Materials, EarlyView.
Bioprosthetic aortic valves have revolutionized the treatment of aortic stenosis, but their durability is limited by structural valve deterioration (SVD). This review focuses on the pericardial tissue at the heart of these valves, examining how its mechanical properties and calcification drive fatigue and failure.
Gabriele Greco, Pierfrancesco Gaziano, Serena Anglese, Simone Morganti, Carlo de Vincentiis, Ferdinando Auricchio, Michele Marino, Michele Conti   +7 more
wiley   +1 more source

Carleman estimates for the parabolic transmission problem and H\"older propagation of smallness across an interface

, 2017
In this paper we prove a H\"older propagation of smallness for solutions to second order parabolic equations whose general anisotropic leading coefficient has a jump at an interface.
Francini, Elisa, Vessella, Sergio
core   +1 more source

The Cuttlebone Blueprint for Multifunctional Metamaterials: Design Taxonomy, Functional Decoupling, and Future Horizons

Advanced Functional Materials, EarlyView.
Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley   +1 more source