The asymptotic stability of shock profiles is proved for a nonconvex convection-diffusion equation by using weighted energy estimates for the integrated equation. The key of our proofs is to employ a weight function depending on the shock profile in energy estimates. The time decay rate is also obtained.
机构:
Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
Nankai Univ, LPMC, Tianjin 300071, Peoples R ChinaNankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
机构:
Shahid Rajaee Teacher Training Univ, Fac Math Sci, Dept Appl Math, Tehran, IranShahid Rajaee Teacher Training Univ, Fac Math Sci, Dept Appl Math, Tehran, Iran
Safdari, Hamid
Rajabzadeh, Majid
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Shahid Rajaee Teacher Training Univ, Fac Math Sci, Dept Appl Math, Tehran, IranShahid Rajaee Teacher Training Univ, Fac Math Sci, Dept Appl Math, Tehran, Iran
Rajabzadeh, Majid
Khalighi, Moein
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Univ Turku, Fac Technol, Dept Comp, Turku, FinlandShahid Rajaee Teacher Training Univ, Fac Math Sci, Dept Appl Math, Tehran, Iran
机构:
Indian Inst Sci, Supercomp Educ & Res Ctr, Bangalore 560012, Karnataka, IndiaIndian Inst Sci, Supercomp Educ & Res Ctr, Bangalore 560012, Karnataka, India
Mishra, Nachiketa
Sanyasiraju, Y. V. S. S.
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Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamil Nadu, IndiaIndian Inst Sci, Supercomp Educ & Res Ctr, Bangalore 560012, Karnataka, India