On proximinality of convex sets in superspaces

Li, Cheng; Zhi, Luo; Wen, Zhang; Zheng, Bentuo

doi:10.1007/s10114-016-5355-0

Cited by 4 publications

(3 citation statements)

References 20 publications

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“…Moreover, existing studies on the thermodynamic equilibrium in lakes are commonly conducted during the open season, and the lake water temperature is calculated mainly through climate models from the meteorological perspective [23]. For example, Cheng et al [24] investigated the spatiotemporal distribution of radiation and energy budgets in the shallow Taihu Lake (2 m water depth) by fitting multiple evaporation models to this lake. They also simulated lake-atmosphere heat exchange by building a closed thermodynamic model in East Taihu Lake [24].…”

Section: Introductionmentioning

confidence: 99%

“…For example, Cheng et al [24] investigated the spatiotemporal distribution of radiation and energy budgets in the shallow Taihu Lake (2 m water depth) by fitting multiple evaporation models to this lake. They also simulated lake-atmosphere heat exchange by building a closed thermodynamic model in East Taihu Lake [24]. Using the ClM4, Deng et al [25] modeled the heat and water fluxes in shallow lakes, including the Taihu Lake.…”

Section: Introductionmentioning

confidence: 99%

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Simulation and Seasonal Characteristics of the Intra-Annual Heat Exchange Process in a Shallow Ice-Covered Lake

et al. 2020

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The intra-annual heat exchange process has a considerable influence on the energy circulation, material metabolism, and ecological succession of lakes. The input and output of heat in an ice-covered lake provide the basic dynamic force driving changes in the biochemical state of the lake. Based on the heat balance between the lake surface and the atmosphere, we established a thermodynamic model for calculating the thermodynamic factors of shallow inland lakes during the ice and open seasons. The data of the Ulansuhai Lake, Inner Mongolia, from two years (2012 and 2013) are used to analyze the seasonal characteristics and associated influences of the heat budget on the ecosystem. The results indicated that the monthly mean lake temperature over the past 10 years was 1.7–2.2 °C lower than in the previous 50 years. The absorbed solar radiation reached up to 210 W/m2 in 2012 and 179 W/m2 in 2013, and there were clear differences in the heat budget between the ice-covered and open seasons. The mean net heat fluxes in the ice season were −33.8 and −38.5 W/m2 in 2012 and 2013, respectively; while in the open season water, these fluxes were 62.5 and 19.1 W/m2. In the simulations, the wind was an important factor for intensive evaporation in summer and the main driver of the ice cover formation patterns in winter, involving the transmission and diffusion of material and energy in the lake. The results provide a theoretical foundation for simulating ice cover growth and ablation processes in shallow lakes. They also present data on the ecological evolution in these lacustrine environments.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Simulation and Seasonal Characteristics of the Intra-Annual Heat Exchange Process in a Shallow Ice-Covered Lake

et al. 2020

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“…For example, it has full application in Banach space geometry theory, smooth analysis, function approximation, optimization theory and other disciplines. Many researchers have conducted a lot of in-depth study on the proximinal set (especially the proximinal subspace) [1]- [8]. When people focus on the proximinal subspace, they find the (strong) proximinlality of unit ball B Y of a subspace Y is stronger than the (strong) proximinality in Y.…”

Section: Introductionmentioning

confidence: 99%