Lee-Huang-Yang修正偶极Gross-Pitaevskii方程驻波解的强不稳定性
Strong Instability of Standing Waves for the Lee-Huang-Yang Corrected Dipolar Gross-Pitaevskii Equation
DOI: 10.12677/PM.2023.137203, PDF,   
作者: 邓成德：西北师范大学数学与统计学院，甘肃 兰州
关键词: Gross-Pitaevskii方程；强不稳定性；爆破准则；Gross-Pitaevskii Equation； Strong Instability； Blow-Up Criterion
摘要: 考虑Lee-Huang-Yang修正偶极Gross-Pitaevskii 方程驻波解的强不稳定性当λ3 < 0和4/3 ≤ q < 4时，建立爆破准则，获得了强不定驻波解的存在性。
Abstract: The author considered the strong instability of standing waves for the Lee-Huang-Yang corrected dipolar Gross-Pitaevskii equation When λ3 < 0 and 4/3 ≤ q < 4, the author obtained the existence of strongly unstable standing waves by establishing blow-up criterion.
文章引用：邓成德. Lee-Huang-Yang修正偶极Gross-Pitaevskii方程驻波解的强不稳定性[J]. 理论数学, 2023, 13(7): 1966-1975. https://doi.org/10.12677/PM.2023.137203

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