山东大学学报(理学版)
山東大學學報(理學版)
산동대학학보(이학판)
JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
2015年
5期
55-59
,共5页
吕红杰%刘静静%齐静%刘硕
呂紅傑%劉靜靜%齊靜%劉碩
려홍걸%류정정%제정%류석
弱耗散μ-Hunter-Saxton方程%爆破%强解
弱耗散μ-Hunter-Saxton方程%爆破%彊解
약모산μ-Hunter-Saxton방정%폭파%강해
a weakly dissipative μ-Hunter-Saxton equation%blow-up%strong solution
研究了弱耗散μ-Hunter-Saxton 方程 Caucly 问题的爆破现象。给出了一个新的爆破结果,推导出爆破强解精确的爆破率。
研究瞭弱耗散μ-Hunter-Saxton 方程 Caucly 問題的爆破現象。給齣瞭一箇新的爆破結果,推導齣爆破彊解精確的爆破率。
연구료약모산μ-Hunter-Saxton 방정 Caucly 문제적폭파현상。급출료일개신적폭파결과,추도출폭파강해정학적폭파솔。
We study the Cauchy problem of the weakly dissipative μ-Hunter-Saxton equation.The present work is main-ly concerned with blow-up phenomena of the equation.We first present a new blow-up result for strong solutions to the equation.Then,we drive the precise blow-up rate for strong solutions to the equation.