Energy Estimates on Existence of Extremals for Trudinger–Moser Inequalities
Sign Up to like & getrecommendations! Published in 2020 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-020-9528-5
Abstract: Let Ω be a smooth bounded domain in ℝ 2 , W 0 1,2 (Ω) be the standard Sobolev space. By the method of energy estimate developed by Malchiodi-Martinazzi ( J. Eur. Math. Soc. ,… read more here.
Keywords: estimates existence; energy; extremals trudinger; existence extremals ... See more keywords
Energy estimates and local well-posedness of 3D interfacial hydroelastic waves between two incompressible fluids
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DOI: 10.1016/j.jde.2020.04.029
Abstract: Abstract In the current paper, we are concerned with waves propagating through the deformation of a thin elastic sheet between two incompressible and inviscid fluids, which are usually called hydroelastic waves in the literature to… read more here.
Keywords: hydroelastic waves; two incompressible; well posedness; local well ... See more keywords
Tether-Length Dependence of Bias in Equilibrium Free-Energy Estimates for Surface-to-Molecule Unbinding Experiments
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DOI: 10.1021/acs.langmuir.7b02844
Abstract: The capabilities of atomic force microscopes and optical tweezers to probe unfolding or surface-to-molecule bond rupture at a single-molecular level are widely appreciated. These measurements are typically carried out unidirectionally under nonequilibrium conditions. Jarzynski’s equality… read more here.
Keywords: molecule unbinding; molecule; surface molecule; energy estimates ... See more keywords