In this paper we investigate the Cauchy problem for the 1-D compressible Euler equations with time-dependent damping. We prove the existence of global solutions under the assumptions that the derivatives of initial data are suitable small and the initial specific volume is large without the condition of small perturbations to the constant initial data. Our approach is based on estimates of the derivatives of Riemann invariants along two characteristic curves.
机构:
Huaqiao Univ, Sch Math Sci, Fujian Prov Univ Key Lab Computat Sci, Quanzhou 362021, Peoples R ChinaHuaqiao Univ, Sch Math Sci, Fujian Prov Univ Key Lab Computat Sci, Quanzhou 362021, Peoples R China
Cui, Haibo
;
Yin, Haiyan
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机构:
Huaqiao Univ, Sch Math Sci, Fujian Prov Univ Key Lab Computat Sci, Quanzhou 362021, Peoples R ChinaHuaqiao Univ, Sch Math Sci, Fujian Prov Univ Key Lab Computat Sci, Quanzhou 362021, Peoples R China
Yin, Haiyan
;
Zhang, Jinshun
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机构:
Huaqiao Univ, Sch Math Sci, Fujian Prov Univ Key Lab Computat Sci, Quanzhou 362021, Peoples R ChinaHuaqiao Univ, Sch Math Sci, Fujian Prov Univ Key Lab Computat Sci, Quanzhou 362021, Peoples R China
Zhang, Jinshun
;
Zhu, Changjiang
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h-index: 0
机构:
South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R ChinaHuaqiao Univ, Sch Math Sci, Fujian Prov Univ Key Lab Computat Sci, Quanzhou 362021, Peoples R China
机构:
Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R ChinaZhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
Geng, Jinbo
;
Lai, Ning-An
论文数: 0引用数: 0
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机构:
Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R ChinaZhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
Lai, Ning-An
;
Yuen, Manwai
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h-index: 0
机构:
Educ Univ Hong Kong, Dept Math & Informat Technol, 10 Po Ling Rd, Hong Kong, Peoples R ChinaZhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
Yuen, Manwai
;
Zhou, Jiang
论文数: 0引用数: 0
h-index: 0
机构:
Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R ChinaZhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
机构:
Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R ChinaXiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China
Geng, Shifeng
;
Lin, Yanping
论文数: 0引用数: 0
h-index: 0
机构:
Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R ChinaXiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China
Lin, Yanping
;
Mei, Ming
论文数: 0引用数: 0
h-index: 0
机构:
Champlain Coll St Lambert, Dept Math, St Lambert, PQ J4P 3P2, Canada
McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, CanadaXiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China
机构:
Huaqiao Univ, Sch Math Sci, Fujian Prov Univ Key Lab Computat Sci, Quanzhou 362021, Peoples R ChinaHuaqiao Univ, Sch Math Sci, Fujian Prov Univ Key Lab Computat Sci, Quanzhou 362021, Peoples R China
Cui, Haibo
;
Yin, Haiyan
论文数: 0引用数: 0
h-index: 0
机构:
Huaqiao Univ, Sch Math Sci, Fujian Prov Univ Key Lab Computat Sci, Quanzhou 362021, Peoples R ChinaHuaqiao Univ, Sch Math Sci, Fujian Prov Univ Key Lab Computat Sci, Quanzhou 362021, Peoples R China
Yin, Haiyan
;
Zhang, Jinshun
论文数: 0引用数: 0
h-index: 0
机构:
Huaqiao Univ, Sch Math Sci, Fujian Prov Univ Key Lab Computat Sci, Quanzhou 362021, Peoples R ChinaHuaqiao Univ, Sch Math Sci, Fujian Prov Univ Key Lab Computat Sci, Quanzhou 362021, Peoples R China
Zhang, Jinshun
;
Zhu, Changjiang
论文数: 0引用数: 0
h-index: 0
机构:
South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R ChinaHuaqiao Univ, Sch Math Sci, Fujian Prov Univ Key Lab Computat Sci, Quanzhou 362021, Peoples R China
机构:
Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R ChinaZhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
Geng, Jinbo
;
Lai, Ning-An
论文数: 0引用数: 0
h-index: 0
机构:
Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R ChinaZhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
Lai, Ning-An
;
Yuen, Manwai
论文数: 0引用数: 0
h-index: 0
机构:
Educ Univ Hong Kong, Dept Math & Informat Technol, 10 Po Ling Rd, Hong Kong, Peoples R ChinaZhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
Yuen, Manwai
;
Zhou, Jiang
论文数: 0引用数: 0
h-index: 0
机构:
Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R ChinaZhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
机构:
Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R ChinaXiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China
Geng, Shifeng
;
Lin, Yanping
论文数: 0引用数: 0
h-index: 0
机构:
Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R ChinaXiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China
Lin, Yanping
;
Mei, Ming
论文数: 0引用数: 0
h-index: 0
机构:
Champlain Coll St Lambert, Dept Math, St Lambert, PQ J4P 3P2, Canada
McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, CanadaXiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China