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Solution of Forced Burgers Equation
The Physics of Fluids, 1972Burgers' model equation of turbulence is studied for the case when the driving force is periodic. Analytical solution is obtained for the inviscid flow and numerical integration is performed for the viscous flow.
Jeng, D. T., Meecham, W. C.
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Inverse cascade via Burgers equation
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2000Burgers equation is employed as a pedagogical device for analytically demonstrating the emergence of a form of inverse cascade to the lowest wavenumber in a flow. The transition from highly nonlinear mode–mode coupling to an ordered preference for large scale structure is shown, both analytically (revealing the presence of a global attractor) and via a
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Optimal Prediction of Burgers’s Equation
Multiscale Modeling & Simulation, 2007Summary: We examine an application of the optimal prediction framework to the truncated Fourier-Galerkin approximation of the Burgers equation. Under particular conditions on the density of the modes and the length of the memory kernel, optimal prediction introduces an additional term to the Fourier-Galerkin approximation which represents the influence
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Remarks on the Burgers Equation
Journal of Mathematical Physics, 1968Periodic and aperiodic solutions of the Burgers equation ut + uux = μuxx, μ > 0, are studied in this paper. A harmonic analysis of the solutions is carried out and the form of the spectrum is estimated for large time. Corresponding estimates of energy decay are also made.
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2000
The Burgers equation is a simple equation to understand the main properties of the Navier-Stokes equations. In this one-dimensional equation the pressure is neglected but the effects of the nonlinear and viscous terms remain, hence as in the Navier-Stokes equations a Reynolds number can be defined.
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The Burgers equation is a simple equation to understand the main properties of the Navier-Stokes equations. In this one-dimensional equation the pressure is neglected but the effects of the nonlinear and viscous terms remain, hence as in the Navier-Stokes equations a Reynolds number can be defined.
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Diffusion equation coupled to Burgers' equation
Fluid Dynamics Research, 1987Scalar diffusion in one-dimensional Burgers' flow is considered. When the Prandtl number is unity, the diffusion equation with convective term is reduced to a simple diffusion equation by a generalized Cole-Hopf transformation. An exact solution of an initial value problem is obtained in a closed form.
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On Stochastic Burgers Equation
Journal of the Physical Society of Japan, 1985The Burgers equation with an external noise is studied. We obtain the exact soltutions of the shock wave, the pulse wave and the initial-value problem for the spatially uniform noise. The behaviours of the average velocity under the Gaussian white noise is examined. It is shown how the external noise plays the role to diffuse steep slopes of waves.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
Two-dimensional Burgers equation
Lettere Al Nuovo Cimento Series 2, 1983BARTUCCELLI M +2 more
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