The Existence of the Global Entropy Weak Solutions for a Weakly Dissipative Degasperis-Procesi Equation
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The Existence of the Global Entropy Weak Solutions for a Weakly Dissipative Degasperis-Procesi Equation
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 53, Issue 2, Pages: 49-54(2014)
作者机构:
1. 广东工业大学应用数学学院,广东,广州,510006
2.
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Published:2014,
Published Online:25 March 2014,
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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 53(2):49-54(2014)
DOI:
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 53(2):49-54(2014)DOI:
The Existence of the Global Entropy Weak Solutions for a Weakly Dissipative Degasperis-Procesi Equation
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