Results 41 to 50 of about 18,179 (207)
Advanced Materials Technologies, EarlyView.The article overviews past and current efforts on caloric materials and systems, highlighting the contributions of Ames National Laboratory to the field. Solid‐state caloric heat pumping is an innovative method that can be implemented in a wide range of cooling and heating applications.
Agata Czernuszewicz +5 more
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Advanced Optical Materials, EarlyView.Phase change materials are integrated into silicon photonic circuits via 200 mm industrial wafer processes. Interferometric optical characterization reveals switching thresholds, transmission modulation, phase shifts, and record endurance (>108 cycles).
Rajath Sawant +11 more
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On the lack of semiconcavity of the subRiemannian distance in a class of Carnot groups
, 2016 We show by explicit estimates that the SubRiemannian distance in a Carnot group of step two is locally semiconcave away from the diagonal if and only if the group does not contain abnormal minimizing curves.
Montanari, Annamaria +1 more
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Advanced Science, EarlyView.Combining microstructural engineering with Cu3SbSe3 alloying significantly improves the performance of Bi2Te3‑based thermoelectric materials, yielding a high zT of ≈1.45 (average zT ≈1.3 over 303–503 K), excellent mechanical robustness (Vickers hardness of 96 Hv and compressive strength of 187 MPa), and an impressive conversion efficiency of ≈6.9% at a
Ruiheng Li +11 more
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Geodesics and isometries of Carnot groups
Kyoto Journal of Mathematics, 2003 The author proves that an isometry of a two-step Carnot group which fixes the identity is an automorphism of the nilpotent Lie group and derives from previously known results that the same holds for all Carnot groups, i.e. nilpotent Lie groups with left-invariant sub-Riemannian metrics.
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APPROXIMATIONS OF SOBOLEV NORMS IN CARNOT GROUPS [PDF]
Communications in Contemporary Mathematics, 2011 This paper deals with a notion of Sobolev space W1, pintroduced by Bourgain, Brezis and Mironescu by means of a seminorm involving local averages of finite differences. This seminorm was subsequently used by Ponce to obtain a Poincaré-type inequality.
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Nonlinear elliptic equations on Carnot groups
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016 This article concerns a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity (for the critical case we refer to G. Molica Bisci and D. Repov , Yamabe-type equations on Carnot groups, Potential Anal. 46:2 (2017), 369-383; arXiv:1705.10100 [math.AP]).
Ferrara M, Molica Bisci G, Repovs R
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Minimal surfaces in the Heisenberg group
, 2006 We investigate the minimal surface problem in the three dimensional Heisenberg group, H, equipped with its standard Carnot-Caratheodory metric. Using a particular surface measure, we characterize minimal surfaces in terms of a sub-elliptic partial ...
Pauls, Scott D.
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Batteries &Supercaps, EarlyView.Electricity storage is vital for the renewable energy transition, with lithium‐ion batteries (LIBs) as the leading technology. The LIB electrolyte composition determines their performance, lifespan, and charging capacity. Sensitive to water, LIB electrolytes require inert conditions for their analysis.
Julien Maillard +9 more
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Analysis and Geometry in Metric Spaces, 2017 AbstractCarnot groups are distinguished spaces that are rich of structure: they are those Lie groups equipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with respect to the distance.
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