Results 21 to 30 of about 1,249,069 (294)
Approximations to the Stochastic Burgers Equation [PDF]
Journal of Nonlinear Science, 2011 This article is devoted to the numerical study of various finite difference approximations to the stochastic Burgers equation. Of particular interest in the one-dimensional case is the situation where the driving noise is white both in space and in time.
Martin Hairer, Jochen Voss
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Neumann problem on the semi-line for the Burgers equation [PDF]
, 2011 In this article, the Neumann problem on the semi-line for the Burgers equation is considered. The problem is reduced to a nonlinear integral equation in one independent variable, whose unique solution is proven to exist for small time.
Sommacal, Matteo, de Lillo, Silvana
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On the Burgers–Poisson equation
Journal of Differential Equations, 2016 22 ...
Grunert, Katrin, Nguyen, Khai Tien
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Multidimensional Stochastic Burgers Equation [PDF]
SIAM Journal on Mathematical Analysis, 2014 We consider multidimensional stochastic Burgers equation on the torus $\mathbb{T}^d$ and the whole space $\Rd$. In both cases we show that for positive viscosity $ν>0$ there exists a unique strong global solution in $L^p$ for $p>d$. In the case of torus we also establish a uniform in $ν$ a priori estimate and consider a limit $ν\todown 0$ for ...
Zdzislaw Brzezniak +2 more
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Limits to extensions of Burgers’ equation [PDF]
Quarterly of Applied Mathematics, 1996 The vector Burgers’ equation is extended to include pressure gradients and gravity. It is shown that within the framework of the Cole-Hopf transformation there are no physical solutions to this problem. This result is important because it clearly demonstrates that any extension of Burgers’ equation to more interesting physical situations is strongly ...
Nerney, Steven +2 more
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Playing with Burgers’s Equation [PDF]
, 2011 The 1D Burgers equation is used as a toy model to mimick the resulting behaviour of numerical schemes when replacing a conservation law by a form which is equivalent for smooth solutions, such as the total energy by the internal energy balance in the Euler equations.
Gallouët, Thierry +3 more
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Journal of Applied Mathematics, 2014 We present finite difference schemes for Burgers equation and Burgers-Fisher equation. A new version of exact finite difference scheme for Burgers equation and Burgers-Fisher equation is proposed using the solitary wave solution.
Lei Zhang, Lisha Wang, Xiaohua Ding
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Journal of Applied Mathematics, 2012 The paper presents an investigation of the generation, evolution of Rossby solitary waves generated by topography in finite depth fluids. The forced ILW- (Intermediate Long Waves-) Burgers equation as a model governing the amplitude of solitary waves is ...
Hongwei Yang +3 more
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Trigonometric quadratic B-spline subdomain Galerkin algorithm for the Burgers’ equation
Open Physics, 2015 A variant of the subdomain Galerkin method has been set up to find numerical solutions of the Burgers’ equation. Approximate function consists of the combination of the trigonometric B-splines.
Ay Buket +2 more
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Traveling wave solutions for the two-dimensional Zakharov-Kuznetsov-Burgers equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper, the two-dimensional Zakharov-Kuznetsov-Burgers (ZKB) equation is investigated. The basic set of fluid equations is reduced to ZKB equation.
G. Shaikhova, G. Shaikhova
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