We prove various estimates for the first eigenvalue of the magnetic Dirichlet
Laplacian on a bounded domain in two dimensions. When the magnetic field is
constant, we give lower and upper bounds in terms of geometric quantities of
the domain. We furthermore prove a lower bound for the first magnetic Neumann
eigenvalue in the case of constant field.Comment: 19 page

Jimenez, C.

Pumphrey, H. C.

MacKenzie, I. A.

Manney, G. L.

Santee, M. L.

Schwartz, M. J.

Harwood, R. S.

Waters, J. W.

English

arXiv

Ekholm, Tomas

Kovařík, Hynek

Portmann, Fabian Daniel

Copenhagen University Research Information System

Estimates for the lowest eigenvalue of magnetic Laplacians

Portmann, Fabian

KOVARIK, HYNEK

Archivio istituzionale della ricerca - Università di Brescia

C. Jiménez

H. C. Pumphrey

I. A. MacKenzie

G. L. Manney

M. L. Santee

M. J. Schwartz

R. S. Harwood

J. W. Waters

Bloom

Chipperfield

Fahey

Froidevaux

Herman

Kelly

Manney

Nedoluha

Santee

Schoeberl

Stone

Waters

Crossref

EOS MLS observations of dehydration in the 2004–2005 polar winters

Observations of water vapour and temperature from the Earth Observing System Microwave Limb Sounder are used to study dehydration in the 2004 and 2005 polar vortices. Significant differences were found for the Antarctic winters, with the 2005 vortex colder and more extensively dehydrated. For the 2005 winter water vapour reductions were observed from mid-June, coincident with a decrease in temperatures, extending vertically between ∼12–21 km. Reductions of up to ∼3 ppmv in water vapour were recorded a month later. Permanent dehydration was apparent between ∼15–20 km, where 3 months later the temperature recovery was not followed by a recovery in water vapour. The 2004–2005 Arctic winter was unusually cold, but only one single event of depleted water vapour at the end of January was linked to ice formation. For this event, a reduction of up to ∼0.5 ppmv was observed over Spitsbergen between ∼12–20 km

Edinburgh Research Explorer

Chemical observations of a polar vortex intrusion,

Dehydration in the lower Antarctic stratosphere during late winter and early spring,

Early validation analyses of atmospheric profiles from EOS MLS on the Aura satellite,

Hydration, dehydration and the total hydrogen budget of the 1999/2000 winter Arctic stratosphere,

Lamination and polar vortex development in fall from ATMOS long-lived trace gases observed during

Observations of denitrification and dehydration in the winter polar stratosphere,

On the motion of air through the stratospheric polar vortex,

Onset, extent, and duration of dehydration in the Southern Hemisphere polar vortex,

POAM III measurements of dehydration in the Antarctic and comparisons with the Arctic,

Polar processing and development of the 2004 Antarctic ozone hole: First results from

Satellite observation of dehydration in the Arctic Polar stratosphere,

The Earth Observing System Microwave Limb Sounder (EOS MLS) on the Aura Satellite,

The Goddard Earth Observing Data Assimilation System,

EOS MLS observations of dehydration in the 2004-2005 polar winters

http://onlinelibrary.wiley.com/doi/10.1029/2006GL025926/pdf

EOS MLS observations of dehydration in the 2004-2005 polar winters

Abstract

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Copenhagen University Research Information System

Archivio istituzionale della ricerca - Università di Brescia

Crossref

Edinburgh Research Explorer