Results 221 to 230 of about 214,338 (244)

Homogenization and Convergence of Correctors in Carnot Groups

Communications in Partial Differential Equations, 2005
ABSTRACT We consider homogenization of differential operators of the form where is a family of linearly independent vector fields in ℝ N that by commutation generate the Lie algebra of a Carnot group, a ij (ξ) are periodic functions in the sense of the group, and δ1/e are the dilations in the group. We establish Meyers type estimates for the horizontal
FRANCHI, BRUNO, Gutiérrez C. E., van Nguyen T.   +2 more
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Quasiregular maps on Carnot groups

Journal of Geometric Analysis, 1997
In this paper we initiate the study of quasiregular maps in a sub-Riemannian geometry of general Carnot groups. We suggest an analytic definition for quasiregularity and then show that nonconstant quasiregular maps are open and discrete maps on Carnot groups which are two-step nilpotent and of Heisenberg type; we further establish, under the same ...
Juha Heinonen, Juha Heinonen, Ilkka Holopainen, Ilkka Holopainen   +3 more
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Remarks on Lipschitz domains in Carnot groups

2014
In this Note we present the basic features of the theory of Lipschitz maps within Carnot groups as it is developed in \cite{FMS}, and we prove that intrinsic Lipschitz domains in Carnot groups are uniform domains.
FRANCHI, BRUNO, PENSO, VALENTINA, Raul Serapioni   +2 more
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Mikhlin’s problem on Carnot groups

Siberian Mathematical Journal, 2008
We consider one class of singular integral operators over the functions on domains of Carnot groups. We prove the L p boundedness, 1 ∞, for the operators of this class. Similar operators over the functions on domains of Euclidean space were considered by Mikhlin.
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Organic flash cycles in Rankine-based Carnot batteries with large storage temperature spreads

Energy Conversion and Management, 2022
Sotirios Karellas, Jürgen Karl
exaly  

Thermodynamic Analysis of High‐Temperature Carnot Battery Concepts

Energy Technology, 2020
Wolf-dieter Steinmann
exaly  

Performance Analysis and Optimization for Irreversible Combined Carnot Heat Engine Working with Ideal Quantum Gases

Entropy, 2021
Lingen Chen, Feng Wu
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Quantum boundary effect on the work output of a micro-/nanoscaled Carnot cycle

Journal of Applied Physics, 2009
Wenjie Nie
exaly  

Brownian Carnot engine

Nature Physics, 2016
Juan M R Parrondo, Dgar Roldán, Luis Dinis   +2 more
exaly  

Isoperimetric sets on Carnot groups

2003
We prove the existence of isoperimetric sets in any Carnot group,that is, sets minimizing the intrinsic perimeter among all measurable sets with prescribed Lebesgue measure. We also show that, up to a null set, these isoperimetric sets are open, bounded, their boundary is Ahlfors-regular and they satisfy the condition B.
LEONARDI, Gian Paolo, Rigot, Severine
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