GUAN Chunxia, FENG Zhaoyong. The Existence of the Global Entropy Weak Solutions for a Weakly Dissipative Degasperis-Procesi Equation[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2014,53(2):49-54.
GUAN Chunxia, FENG Zhaoyong. The Existence of the Global Entropy Weak Solutions for a Weakly Dissipative Degasperis-Procesi Equation[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2014,53(2):49-54.DOI:
The existence of the global-in-time entropy weak solutions is obtained for the Cauchy problem of the weakly dissipative Degasperis-Procesi equation with the initial value in L
2
(R) ∩ L
4
(R).
关键词
弱耗散的Degasperis-Procesi方程适定强解爆破准则整体弱解
Keywords
the weak dissipative Degasperis-Procesi equationwell-posednessblow-up scenariostrong solutionglobal weak solution