Results 81 to 90 of about 12,696 (269)

Finite Element Preconditioning on Spectral Element Discretizations for Coupled Elliptic Equations

Journal of Applied Mathematics, 2012
The uniform bounds on eigenvalues of B^h2−1A^N2 are shown both analytically and numerically by the P1 finite element preconditioner B^h2−1 for the Legendre spectral element system A^N2u¯=f¯ which is arisen from a coupled elliptic system occurred by an ...
JongKyum Kwon, Soorok Ryu, Philsu Kim, Sang Dong Kim   +3 more
doaj   +1 more source

Mechanically Stable and Tunable Photoactivated Peptide‐Based Hydrogels for Soft Tissue Adhesion

Advanced Functional Materials, EarlyView.
A collagen‐like peptide hydrogel platform is developed using supramolecular self‐assembly and light‐triggered crosslinking. It creates mechanically stable, tunable hydrogels with cytocompatibility and biodegradability, making them potential soft tissue adhesives.
Alex Ross, Daniel Nguyen, Aidan J. MacAdam, German A. Mercado Salazar, Micaela Gianetti, Ramis Ileri, Marc Ruel, Erik J. Suuronen, Emilio I. Alarcon   +8 more
wiley   +1 more source

Superlinear Elliptic Equations and Systems [PDF]

, 2008
In this article we survey some recent results on superlinear elliptic equations and systems. A particular focus will be the borderline situations of so-called critical growth. In the existence theorems, we will use mostly variational methods, that is we look for critical points of functionals associated to the equations and systems.
openaire   +2 more sources

Understanding the Role of Superhydrophobicity and Superhydrophilicity in Salt‐Spray Corrosion of Nanosecond Pulsed Laser‐Textured AA2024 Alloy

Advanced Functional Materials, EarlyView.
Nanosecond pulse laser texturing yields superhydrophobic and superhydrophilic AA2024 surfaces. Salt‐spray tests show that periodic superhydrophobic patterns suppress pitting, whereas superhydrophilic textures enhance it, linking laser‐induced morphology, wettability, and oxide chemistry to corrosion resistance.
Lis Geraldine Zschach, Robert Baumann, Eric Pohl, Angelika Wrzesińska‐Lashkova, Marcelo Sallese, Ignacio Tabares, Herman Heffner, Yana Vaynzof, Andrés Fabián Lasagni   +8 more
wiley   +1 more source

Fractional elliptic obstacle systems with multivalued terms and nonlocal operators

Nonlinear Analysis
In this paper, we introduce and study a fractional elliptic obstacle system, which is composed of two elliptic inclusions with fractional (pi, qi)-Laplace operators, nonlocal functions, and multivalued terms.
Jinxia Cen, Shengda Zeng, Anouar Bahrouni   +2 more
doaj   +1 more source

On critical semilinear elliptic systems

Advances in Differential Equations, 2001
The goal of the present paper is to study the existence of solutions of the semilinear elliptic system \[ \begin{gathered} -\Delta u+ u= |v|^{q-1} v+ g(x,v)\quad\text{in }\mathbb{R}^n,\\ -\Delta v+ v= |u|^{p-1} u+ f(x,u)\quad\text{in }\mathbb{R}^N,\\ u(x)\to 0\text{ and }v(x)\to 0\quad \text{as }|x|\to \infty,\end{gathered}\tag{1} \] where \({1\over p ...
openaire   +3 more sources

Shaping of Biohybrid Functional Living Materials

Advanced Functional Materials, EarlyView.
This work demonstrates a strategy for shaping living mycelium into functional materials by directing its natural growth. Nanoparticles armor hyphae, micron‐scale particles entangle within the network, and printed hydrogel architectures steer expansion, creating defined geometries.
Sarah Schyck, Mark Ablonczy, Sourav Patranabish, Kunal Masania   +3 more
wiley   +1 more source

Nontrivial convex solutions for systems of Monge-Ampere equations via global bifurcation

Electronic Journal of Differential Equations, 2016
We obtain existence results for some systems of Monge-Ampere equations, using bifurcation theorems of Krasnosell'ski-Rabinowitz type.
Zexin Qi
doaj  

Thermo‐Mechanically Recyclable Smart Textiles from Circularly Knitted Liquid Crystal Elastomer Fibers

Advanced Functional Materials, EarlyView.
Reprogrammable multi‐material smart textiles knitted from liquid crystal elastomer fibers undergo 2D and 3D deformation under thermal and photo stimuli. Circularly knitted tubular structures reversibly contract in radial and axial directions, enabling autonomous climbing, liquid release, and micro pumping.
Xue Wan, Tongxiang Deng, Linda Plaude, Bo Gao, Siyao Chen, Fabien Sorin, Kaspar M. B. Jansen, Kun Zhou, Albert P. H. J. Schenning   +8 more
wiley   +1 more source

The Terminal Domains of Collagen‐Like Silk Direct Molecular Interactions and Liquid–Liquid Phase Separation‐Mediated Material Assembly

Advanced Functional Materials, EarlyView.
Terminal domains of recombinant collagen‐like silk regulate hierarchical self‐assembly across molecular and material scales. We show that terminal domains of collagen‐like silk enhance triple‐helix stability and drive liquid–liquid phase separation, enabling reversible formation of fibers and self‐healing films.
Mengjie Shen, Daniil Astapov, Nur Alia Oktaviani, Mami Goto, Keiji Numata, A. Sesilja Aranko   +5 more
wiley   +1 more source