Asymptotic behaviour of a generalized Burgers' equation
نویسندگان
چکیده
منابع مشابه
Asymptotic Behaviour of Ageneralized Burgers '
We consider the generalized Burgers' equation: (GBE) u t = (u m) ? @ @x 1 (u q); with exponents m > 1 and q = m + (1=N). We study the large-time behaviour of nonnega-tive weak solutions of the Cauchy problem posed in Q = R N (0; 1) with integrable and nonnegative data. We construct a uni-parametric family fU M g of source-type solutions of (GBE) such that: U M (; t) ! M (x) in D 0 (R N) as t ! ...
متن کاملAsymptotic behavior of a frequency-domain nonlinearity indicator for solutions to the generalized Burgers equation.
A frequency-domain nonlinearity indicator has previously been characterized for two analytical solutions to the generalized Burgers equation (GBE) [Reichman, Gee, Neilsen, and Miller, J. Acoust. Soc. Am. 139, 2505-2513 (2016)], including an analytical, asymptotic expression for the Blackstock Bridging Function. This letter gives similar old-age analytical expressions of the indicator for the Me...
متن کاملReproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation
In this paper, we present a new method for solving Reproducing Kernel Space (RKS) theory, and iterative algorithm for solving Generalized Burgers Equation (GBE) is presented. The analytical solution is shown in a series in a RKS, and the approximate solution u(x,t) is constructed by truncating the series. The convergence of u(x,t) to the analytical solution is also proved.
متن کاملLarge time behaviour of solutions of a system of generalized Burgers equation
In this paper we study the asymptotic behaviour of solutions of a system of N partial differential equations. When N = 1 the equation reduces to the Burgers equation and was studied by Hopf. We consider both the inviscid and viscous case and show a new feature in the asymptotic behaviour.
متن کاملThe asymptotic behaviour of solutions of the forced Burgers equation on the circle
We describe the asymptotic behaviour of entropy solutions of the inviscid Burgers equation on the circle with time-periodic forcing. These solutions converge to periodic states, but the period of these limit states may be greater than the period of the forcing. A corollary is that the only solutions without shocks are periodic. This result can be interpreted in terms of the invariant curves of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 1999
ISSN: 0021-7824
DOI: 10.1016/s0021-7824(99)00020-3