نتایج جستجو برای: burgers equation

تعداد نتایج: 231098  

1997
A. R. Rastegar M. R. Rahimi Tabar

We generelize the Polyakov’s approach for Burgers turbulence in higher dimensions. In this respect, we write the operator product expansion and find the exact two–point functions of the Burgers equation in two and three–dimensions. We show that the angular dependence of the correlation functions satisfy the same equation, which is found in the instanton approach. PACS numbers 47.27.AK, 47.27.Jv

2010
Kelong Zheng Jinsong Hu

In this paper, numerical solution for the generalized Rosenau-Burgers equation is considered and Crank-Nicolson finite difference scheme is proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence and priori error estimate of the scheme are proved. Numerical results demonstrate that the scheme is efficient and reliable. Keywords—Generalized Rosenau-B...

1997
Hung V. Ly Kenneth D. Mease Edriss S. Titi

Earlier results for distributed and boundary controls of the viscous Burgers' equation were established by Burns et al. and Byrnes et al.. In their results there are technical restrictions on the sizes of the initial data. In this paper we relax these restrictions, as well as treat the Burgers' equation with other nonlinear boundary conditions.

2017
Giuseppe Da Prato Arnaud Debussche

In this article, we prove that the Kolmogorov operator associated to the Burgers equation driven by a space-time white noise is m-dissipative. This implies several properties on the Kolmogorov equation. This result is obtained thanks to the introduction of a modified Kolmogorov operator. New a priori estimates on the solutions of the Burgers equation and on the invariant measure are obtained. T...

2013
H. Sakurai

The Burgers’ equation is an important and basic nonlinear partial differential equation in fluid dynamics, and has been used as a model equation in other fields, such as modeling of shock waves, gas dynamics, turbulence, and large bubble structures consisting of clusters of galaxies in space. Many researchers have proposed various numerical methods for solving the Burgers’ equation, such as the...

2005
S. Eule

We obtain the exact solution for the Burgers equation with a time dependent forcing, which depends linearly on the spatial coordinate. For the case of a stochastic time dependence an exact expression for the joint probability distribution for the velocity fields at multiple spatial points is obtained. A connection with stretched vortices in hydrodynamic flows is discussed. Burgers equation [1],...

In this paper, an efficient numerical scheme based on uniform Haar wavelets is used to solve the non-planar Burgers equation. The quasilinearization technique is used to conveniently handle the nonlinear terms in the non-planar Burgers equation. The basic idea of Haar wavelet collocation method is to convert the partial differential equation into a system of algebraic equations that involves a ...

Journal: :J. Comput. Physics 2010
Roberto Camassa Pao-Hsiung Chiu Long Lee Tony W. H. Sheu

We investigate solution properties of a class of evolutionary partial differential equations (PDEs) with viscous and inviscid regularization. An equation in this class of PDEs can be written as an evolution equation, involving only first-order spatial derivatives, coupled with the Helmholtz equation. A recently developed two-step iterative method (Chiu et al., JCP, 228, (2009), pp. 8034-8052) i...

Journal: :SIAM J. Math. Analysis 2014
Zdzislaw Brzezniak Ben Goldys Misha Neklyudov

We consider multidimensional stochastic Burgers equation on the torus T and the whole space R . In both cases we show that for positive viscosity ν > 0 there exists a unique strong global solution in L for p > d. In the case of torus we also establish a uniform in ν a priori estimate and consider a limit ν ↘ 0 for potential solutions. In the case of R uniform with respect to ν a priori estimate...

2004
NEJIB SMAOUI

We consider the generalized Burgers equation with and without a time delay when the boundary conditions are periodic with period 2π. For the generalized Burgers equation without a time delay, that is, ut = νuxx − uux + u+ h(x), 0 < x < 2π, t > 0, u(0, t) = u(2π, t), u(x,0) = u0(x), a Lyapunov function method is used to show boundedness and uniqueness of a steady state solution and global stabil...

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