Time-Delayed Instabilities in Complex Burgers Equations
نویسندگان
چکیده
منابع مشابه
Time-Delayed Instabilities in Complex Burgers Equations
For Burgers equations with real data and complex forcing terms, Lerner, Morimoto and Xu [Instability of the Cauchy-Kovalevskaya solution for a class of non-linear systems, Amer. J. Math. 2010] proved that only analytical data generate local C solutions. The corresponding instabilities are however not observed numerically; rather, numerical simulations show an exponential growth only after a del...
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Spatially periodic complex-valued solutions of the Burgers and KdV-Burgers equations are studied in this paper. It is shown that for any sufficiently large time T , there exists an explicit initial data such that its corresponding solution of the Burgers equation blows up at T . In addition, the global convergence and regularity of series solutions is established for initial data satisfying mil...
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BACKGROUND Recently, nonlinear time-delayed evolution equations have received considerable interest due to their numerous applications in the areas of physics, biology, chemistry and so on. METHODS In this paper, we obtain traveling wave solutions by using the extended [Formula: see text]-expansion method. RESULTS Based on the method, we get many solutions of the time-delayed generalized Bu...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2015
ISSN: 0036-1410,1095-7154
DOI: 10.1137/140969427