Estimates for solutions of Burgers type equations and some applications |
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| Affiliation: | 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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