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Estimates for Solutions of a Low-Viscosity Kick-Forced Generalised Burgers Equation
Burgers Equation Viscous Conservation Law Kick Force Maximum Principle Turbulence Intermittency
2011/9/20
Abstract: We consider a non-homogeneous generalised Burgers equation: $$ \frac{\partial u}{\partial t} + f'(u)\frac{\partial u}{\partial x} - \nu \frac{\partial^2 u}{\partial x^2} = \eta^{\omega},\qua...
The Burgers equation and the Korteweg-de Vries equation with quadratic nonlinearity
Burgers equation KdV equation diffeomorphism group BottVirasoro group Euler equation
2011/9/15
Abstract: We study generalized variants of the Burgers equation and the KdV equation on the circle. The main goal of the paper is to show that both extensions can be recast as geodesic equations on a ...
This paper discusses the numerical solution of Burgers' equation on
unbounded domains. Two artificial boundaries are introduced and
boundary conditions are obtained on the artificial boundaries, whi...