首都师范大学学报（自然科学版）2025，Vol.46Issue(6)：49-53,5.DOI:10.19789/j.1004-9398.2025.06.007
三维等熵可压缩磁流体力学方程的爆破现象
Blow-up of three-dimensional isentropic compressible magnetohydrodynamics equations
摘要
Abstract
Under the conditions that the gradient of the velocity and magnetic field satisfy a certain decay,and the initial total momentum does not vanish,the explosion phenomenon of classical solutions of the three-dimensional isentropic compressible magnetohydrodynamic equation in finite time is studied.Blow-up result is derived by constructing the sphere to prove the conservation of mass,momentum and energy in full space and applying Hölder inequality,interpolation inequalities,and other methods to deal with relevant nonlinear terms.关键词
微分方程/爆破/等熵/可压缩磁流体方程/经典解/Hölder不等式Key words
differential equation/blow-up/isentropic/compressible magnetohydrodynamics/classical solutions/Hölder inequality分类
数理科学引用本文复制引用
DING Xilai,LI Jinze..三维等熵可压缩磁流体力学方程的爆破现象[J].首都师范大学学报（自然科学版）,2025,46(6):49-53,5.基金项目
江苏高校品牌专业建设工程项目(PPZY2015B109) （PPZY2015B109）
江苏省自然科学基金项目(BK20221369) （BK20221369）
