Results 41 to 50 of about 2,300 (225)
The regularity problem for geodesics of the control distance
Bruno Pini Mathematical Analysis Seminar, 2018 In this survey, we present some recent results on the problem about the regularity of length-minimizing curves in sub-Riemannian geometry. We also sketch the possible application of some ideas coming from Geometric Measure Theory.
Roberto Monti
doaj +1 more source
Advanced Materials Technologies, EarlyView.Scaling of 3D‐integrated electronics exacerbates thermal bottlenecks, motivating solid‐state on‐chip cooling beyond convection and immersion. This perspective reviews optical refrigeration, electroluminescent cooling, and thermoelectrics for localized, vibration‐free heat removal.
Huilong Liu +2 more
wiley +1 more source
Integral Representation of Local Left–Invariant Functionals in Carnot Groups
Analysis and Geometry in Metric Spaces, 2019 The aim of this note is to prove a representation theorem for left–invariant functionals in Carnot groups. As a direct consequence, we can also provide a Г-convergence result for a smaller class of functionals.
Maione A., Vecchi E.
doaj +1 more source
Advanced Energy and Sustainability Research, EarlyView.The article attracts researchers, policymakers, and industry leaders in renewable energy, hydrogen, and sustainable development, as it addresses the critical need for clean, efficient energy solutions. By evaluating the technical, environmental, and economic feasibility of integrating wind energy with hydrogen production. The findings offer significant
Mohamed Elnaggar +4 more
wiley +1 more source
Current Landscape: Use of Supercritical CO2 in the Wood Industry
Advanced Energy and Sustainability Research, EarlyView.The application of supercritical carbon dioxide (scCO2) to successfully dewater as well as extract resin from wood is becoming increasingly popular due to its greener and less energy‐intensive approach. With world focus shifting to developing methods with greater efficiency while decreasing harm to the environment, scCO2 applications have begun to set ...
Anthony Dahdah, Subashani Maniam
wiley +1 more source
Curvature exponent and geodesic dimension on Sard-regular Carnot groups
Analysis and Geometry in Metric SpacesIn this study, we characterize the geodesic dimension NGEO{N}_{{\rm{GEO}}} and give a new lower bound to the curvature exponent NCE{N}_{{\rm{CE}}} on Sard-regular Carnot groups.
Golo Sebastiano Nicolussi, Zhang Ye
doaj +1 more source
Rectifiability in Carnot Groups
, 2022 This thesis is devoted to the study of the theory of rectifiability of sets and measures in the non smooth context of Carnot groups. The focus is on the study of the notion of P-rectifiability and its relation with other notions of rectifiability in Carnot groups.
openaire +2 more sources
Lipschitz and bilipschitz maps on Carnot groups [PDF]
Pacific Journal of Mathematics, 2013 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 +2 more sources
A proof of Hörmander’s theorem for sublaplacians on Carnot groups [PDF]
Nonlinear Analysis, 2015 Let \(G\) be a Carnot group and let \(\mathcal{L}\) be its left-invariant sub-Laplacian. As a consequence of Hörmander's theorem, \(\mathcal{L}\) is hypoelliptic, that is, for every distribution \(u\) on \(G\), if \(\mathcal{L}u \in C^\infty\), then \(u \in C^\infty\).
Bramanti, Marco, Brandolini, Luca
openaire +1 more source
Almost uniform domains and Poincaré inequalities
Transactions of the London Mathematical Society, 2021 Here we show existence of many subsets of Euclidean spaces that, despite having empty interior, still support Poincaré inequalities with respect to the restricted Lebesgue measure.
Sylvester Eriksson‐Bique, Jasun Gong
doaj +1 more source