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Exploring Low‐Global Warming Potential Refrigerants for Medium‐Charge Systems
This study evaluates 15 low‐global warming potential (GWP) refrigerants as alternatives for medium‐charge systems, focusing on environmental impacts, operational performance, and system design integration. Key findings reveal R‐447A's suitability for standard climates and R‐454B's advantages in high ambient conditions, providing actionable guidance for
Fadi Alsouda+3 more
wiley +1 more source
Lipschitz and bilipschitz maps on Carnot groups [PDF]
Suppose A is an open subset of a Carnot group G, where G has a discrete analogue, and H is another Carnot group. We show that a Lipschitz function from A to H whose image has positive Hausdorff measure in the appropriate dimension is biLipschitz on a subset of A of positive Hausdorff measure.
openaire +3 more sources
Jet spaces on $\mathbb R^n$ have been shown to have a canonical structure of stratified Lie groups (also known as Carnot groups). We construct jet spaces over stratified Lie groups adapted to horizontal differentiation and show that these jet spaces are themselves stratified Lie groups.
Golo, Sebastiano Nicolussi+1 more
openaire +2 more sources
Cordes nonlinear operators in Carnot groups
Our aim is to obtain L^p estimates for the second-order horizontal derivatives of the solutions for a nondivergence form nonlinear equation in Carnot groups.
Giuseppe Di Fazio+1 more
doaj
In this paper we study heat kernels associated with a Carnot group G, endowed with a family of collapsing left-invariant Riemannian metrics σε which converge in the Gromov- Hausdorff sense to a sub-Riemannian structure on G as ε→ 0.
Capogna Luca+2 more
doaj +1 more source
W2,p a priori estimates for nonvariational operators: the sharp maximal function technique
We consider a nonvariational degenerate elliptic operator, structured on a system of left invariant, 1-homogeneous, Hörmander vector fields on a Carnot group, where the coefficient matrix is symmetric, uniformly positive on a bounded domain and the ...
Marco Bramanti
doaj +1 more source
Quasiconformal maps on non-rigid Carnot groups [PDF]
We study quasiconformal maps on non-rigid Carnot groups equipped with Carnot metric. We show that for most non-rigid Carnot groups N, all quasiconformal maps on N must be biLipschitz.
arxiv
On the smoothness of $C^1$-contact maps in $C^{\infty}$-rigid Carnot groups [PDF]
We show that in any $C^\infty$-rigid Carnot group in the sense of Ottazzi - Warhurst, $C^1$-contact maps are automatically smooth.
arxiv
ABSTRACT Complex organic mixtures are found in many areas of research, such as energy, environment, health, planetology, and cultural heritage, to name but a few. However, due to their complex chemical composition, which holds an extensive potential of information at the molecular level, their molecular characterization is challenging.
Charlotte Mase+5 more
wiley +1 more source
Algebraic prolongation and rigidity of Carnot groups
We discuss the known results on rigidity of Carnot groups using Tanaka’s prolongation theory. We also apply Tanaka’s theory to study rigidity of an extended class of H-type groups which we call J-type groups. In particular we obtain a rigidity criterion giving rise to a rigid class of J-type groups which includes the H-type groups, and thus extends the
Ottazzi, Alessandro, Warhurst, Ben
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