Results 91 to 100 of about 9,027,533 (299)

The Elliptic Gaudin System with Spin

Theoretical and Mathematical Physics, 2002
The elliptic Gaudin model was obtained as the Hitchin system on an elliptic curve with two fixed points. In the present paper the algebraic-geometrical structure of the system with two fixed points is clarified. We identify this system with poles dynamics of the finite gap solutions of Davey-Stewartson equation. The solutions of this system in terms of
openaire   +2 more sources

Engineered Nanotopography to Modulate Growth and Signaling of Neuronal Networks

Advanced Functional Materials, EarlyView.
This study examines the interaction between neurons and nanoscale topographies on engineered substrates. Neurons cultured on nanowires, nanopillars and nanoneedles exhibit enhanced neurite outgrowth, form more organized neuronal circuits, and display improved synaptic connectivity, compared to flat substrates.
Hao Nguyen Tran, Kalyan Shobhana, Zlatan Trifunovic, Dan Smith, Michael Stuiber, Chennupati Jagadish, Mirella Dottori, Andrea J. O'Connor, Vini Gautam   +8 more
wiley   +1 more source

Introducing elliptic, an R Package for Elliptic and Modular Functions [PDF]

This paper introduces the elliptic package of R routines, for numerical calculation of elliptic and related functions. Elliptic functions furnish interesting and instructive examples of many ideas of complex analysis, and the package illustrates these ...
Robin K. S. Hankin
core  

Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains [PDF]

, 2011
This is the post-print version of the article. The official published version can be accessed from the link below - Copyright @ 2011 ElsevierFor functions from the Sobolev space H^s(\Omega­), 1/2 < s < 3/2 , definitions of non-unique generalized and ...
Mikhailov, SE, Sergey E. Mikhailov, Mikhailov, Sergey E.   +2 more
core   +1 more source

Melanin's Role in Balancing Mechanical Strength and Reproductive Output in Environmentally Stressed Fungal Spores

Advanced Functional Materials, EarlyView.
Melanin content directly controls fungal spore mechanical properties, with pigmented spores achieving rupture forces two orders of magnitude higher than hyaline spores. Environmental stress drives this quantity‐quality tradeoff; stressed species invest energy in melanin‐reinforced, mechanically superior thick‐walled, super‐hydrophobic spores, while ...
Atul Agrawal, Steven E. Naleway
wiley   +1 more source

Heights on elliptic curves over number fields, period lattices, and complex elliptic logarithms [PDF]

This thesis presents some major improvements in the following computations: a lower bound for the canonical height, period lattices, and elliptic logarithms.
Thongjunthug, Thotsaphon
core  

Embedded Direct Ink Writing of Thermoset and Elastomeric Polymers via Frontal Polymerization

Advanced Functional Materials, EarlyView.
Embedded frontal polymerization direct ink writing (FP‐DIW) combines frontal ring‐opening metathesis polymerization with embedded 3D printing to decouple deposition from curing. A yield‐stress support bath stabilizes low‐viscosity inks, while on‐demand thermal initiation enables controlled front propagation. This approach expands the accessible feature
Mohammad Tanver Hossain, Yun Seong Kim, Pallab Layak, Pranav Krishnan, Young bum Lee, Minjiang Zhu, Shubh Singh, Philippe H. Geubelle, Paul V. Braun, Jeffery W. Baur, Nancy R. Sottos, Sameh H. Tawfick, Randy H. Ewoldt   +12 more
wiley   +1 more source

Solutions to elliptic systems of Hamiltonian type in R^N

Electronic Journal of Differential Equations, 1999
The paper proves existence of a solution for elliptic systems of Hamiltonian type on ${mathbb R}^N$ by a variational method. We use the Benci-Rabinowitz technique, which cannot be applied here directly for lack of compactness.
K. Tintarev
doaj  

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

Bioinspired Hydrogels with Broadly Programmable Mechanics for Soft‐Tissue Interfaces

Advanced Functional Materials, EarlyView.
Sea cucumber‐inspired gelatin hydrogels are formed by directional freezing and mechanically programmed through subsequent ionic treatment. Multiscale characterization and modeling link ion‐regulated chain interactions to directional load transfer within the aligned hierarchical architecture.
Youchao Teng, TzuChun Chung, Katpady Akhil Tantry, Siyu Wu, Jing Tian, Yunqi Cui, Lanyu Li, Yongzan Zhou, Zhilei Zhang, Zhe Su, Gaili Cao, Kun‐Wei Yeh, Ruipeng Li, Xianghui Xiao, Adam F. G. Leontowich, Yuan‐Yu Hsueh, Zhao Pan, Kam C. Tam, Badri Narayanan, Song Li, Yimin. A. Wu   +20 more
wiley   +1 more source