Ginzburg-Landau方程極小能量解存在性的新證明
發(fā)布時(shí)間:2018-11-15 16:01
【摘要】:對(duì)R~2上帶有外磁場(chǎng)或一般流源場(chǎng)的Ginzburg-Landau方程組,借助于Hardy型不等式,利用直接變分的方法重新證明了其極小能量解的存在性,且該解滿足Coulomb規(guī)范.
[Abstract]:For the Ginzburg-Landau equations with external magnetic field or general current source field, the existence of the minimal energy solution is reproved by means of the direct variational method by means of the Hardy type inequality, and the solution satisfies the Coulomb gauge.
【作者單位】: 信陽(yáng)職業(yè)技術(shù)學(xué)院數(shù)學(xué)與計(jì)算機(jī)學(xué)院;河南大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院 現(xiàn)代數(shù)學(xué)研究所;
【基金】:國(guó)家自然科學(xué)基金(11471100,11471099) 河南省科技廳基礎(chǔ)與前沿項(xiàng)目基金(142300410110)~~
【分類(lèi)號(hào)】:O175.5
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本文編號(hào):2333757
[Abstract]:For the Ginzburg-Landau equations with external magnetic field or general current source field, the existence of the minimal energy solution is reproved by means of the direct variational method by means of the Hardy type inequality, and the solution satisfies the Coulomb gauge.
【作者單位】: 信陽(yáng)職業(yè)技術(shù)學(xué)院數(shù)學(xué)與計(jì)算機(jī)學(xué)院;河南大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院 現(xiàn)代數(shù)學(xué)研究所;
【基金】:國(guó)家自然科學(xué)基金(11471100,11471099) 河南省科技廳基礎(chǔ)與前沿項(xiàng)目基金(142300410110)~~
【分類(lèi)號(hào)】:O175.5
,
本文編號(hào):2333757
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