Estimates for solutions of Burgers type equations and some applications |
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| Institution: | 1. Université Pierre et Marie Curie, case 247, 75252, Paris, France;2. Computing Center, Academy of Science, 117967 Moscow, Russia;3. University of Illinois, Urbana, IL 61801, USA |
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| Abstract: | We obtain precise large time asymptotics for the Cauchy problem for Burgers type equations satisfying shock profile condition. The proofs are based on the exact a priori estimates for (local) solutions of these equations and the result of G.M. Henkin, A.A. Shananin, Asymptotic behavior of solutions of the Cauchy problem for Burgers type equations, J. Math. Pures Appl. 83 (2004) 1457–1500]. |
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