Search results for "solution"

Temperature imaging and image processing in the steel industry

1996

Our aim is twofold: to present our temperature measurement system based on CCD technology, which gives a linear response versus temperature, and to display two industrial applications in which our system has been involved to optimize and characterize the process. We present a short summary dealing with temperature evaluations from radiation measurements. We consider especially the problems of the surroundings, the atmosphere, and the emissivity assumption. After selecting a value for the emissivity, we show that the use of the CCD technology enables us to obtain high spatial and temporal resolution temperature imaging, and provides further information, mainly a linear response versus temper…

Positive solutions for singular double phase problems

2021

Abstract We study the existence of positive solutions for a class of double phase Dirichlet equations which have the combined effects of a singular term and of a parametric superlinear term. The differential operator of the equation is the sum of a p-Laplacian and of a weighted q-Laplacian ( q p ) with discontinuous weight. Using the Nehari method, we show that for all small values of the parameter λ > 0 , the equation has at least two positive solutions.

Solutions of nonlinear PDEs in the sense of averages

2012

Abstract We characterize p-harmonic functions including p = 1 and p = ∞ by using mean value properties extending classical results of Privaloff from the linear case p = 2 to all pʼs. We describe a class of random tug-of-war games whose value functions approach p-harmonic functions as the step goes to zero for the full range 1 p ∞ .

Classification and non-existence results for weak solutions to quasilinear elliptic equations with Neumann or Robin boundary conditions

2021

Abstract We classify positive solutions to a class of quasilinear equations with Neumann or Robin boundary conditions in convex domains. Our main tool is an integral formula involving the trace of some relevant quantities for the problem. Under a suitable condition on the nonlinearity, a relevant consequence of our results is that we can extend to weak solutions a celebrated result obtained for stable solutions by Casten and Holland and by Matano.

A Mountain Pass Theorem for a Suitable Class of Functions

2009

Existence of viscosity solutions to two-phase problems for fully nonlinear equations with distributed sources

2018

In this paper we construct a viscosity solution of a two-phase free boundary problem for a class of fully nonlinear equation with distributed sources, via an adaptation of the Perron method. Our results extend those in [Caffarelli, 1988], [Wang, 2003] for the homogeneous case, and of [De Silva, Ferrari, Salsa, 2015] for divergence form operators with right hand side.

Indefinitely stable iron(IV) cage complexes formed in water by air oxidation

2017

In nature, iron, the fourth most abundant element of the Earth's crust, occurs in its stable forms either as the native metal or in its compounds in the +2 or +3 (low-valent) oxidation states. High-valent iron (+4, +5, +6) compounds are not formed spontaneously at ambient conditions, and the ones obtained synthetically appear to be unstable in polar organic solvents, especially aqueous solutions, and this is what limits their studies and use. Here we describe unprecedented iron(IV) hexahydrazide clathrochelate complexes that are assembled in alkaline aqueous media from iron(III) salts, oxalodihydrazide and formaldehyde in the course of a metal-templated reaction accompanied by air oxidation…

Un futuro per Kiribati : proposte di intervento per insediamenti abitativi resilienti

2020

Secondo il Rapporto Speciale dell’IPCC Oceano e Criosfera in un clima che cambia, il livello dei mari è cresciuto a un ritmo di 3,6 mm all’anno nel periodo compreso tra il 2005 e il 2015, aumentando più velocemente nel corso dell’ultimo secolo a causa dello scioglimento delle calotte di ghiaccio e dell’espansione termica dell’oceano. Questo aumenta i rischi per le popolazioni che vivono nelle zone costiere ed in particolare per quelle che abitano le regioni artiche e gli atolli come le isole di Kiribati che, entro la metà del secolo potrebbero diventare inabitabili. I sistemi di protezione delle coste e i processi di adattamento che utilizzano gli ecosistemi e soluzioni derivate dalla natur…

Mapping Actual Evapotranspiration by Combining Landsat TM and NOAA-AVHRR Images: Application to the Barrax Area, Albacete, Spain

1998

Abstract A method that permits determination of actual evapotranspiration, ET, in heterogeneous areas has been proposed. It is based on the relation ET = ET m − B ( T s − T sm ), which combines meteorological, National Oceanic and Atmospheric Administration advanced very high resolution radiometer (NOAA-AVHRR), and Landsat thematic mapper (TM) data. Thus, the maximum evapotranspiration for each crop, ETm, is obtained from in situ measurements carried out in a meteorological station; the temperature difference between each pixel and the pixel that has the maximum evapotranspiration, Ts−Tsm, is calculated for each crop from NOAA-AVHRR data; and the crop distribution in the area is known throu…

Multi-temporal analysis of MODIS Land Products over the Amazon region

2012

In a global warming scenario there is an increase interest in examining climate trends at specific biomes such as the tropical rainforest biome. The Amazonian region is the largest carbon sink, so changes in this area are expected to have a direct impact over the climate change. In this work we analyse the temporal evolution (trends and anomalies) of different land parameters from 2001 to 2010 over the Amazonian forest. For this purpose, we used Moderate Resolution Imaging Spectroradiometer (MODIS) Land Products at 0.05° latitude/longitude Climate Modeling Grid (CMG), namely, combined Terra/Aqua 16-day Albedo (MCD43C3), Terra monthly Land Surface Temperature & Emissivity (MOD11C3), Terra mo…