Results 11 to 20 of about 8,315 (291)
NONHOMOGENEOUS FRACTIONAL BURGERS EQUATION [PDF]
Momento, 2016 In this article we study solutions of the nonlinear fractional Burgers equation with a nonhomogeneous term associated with external forces. This equation is a generalization of the nonhomogeneous diffusion equation with an additional term that describes ...
Victor G. Buesaquillo +2 more
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Instantons in the Burgers equation [PDF]
Physical Review E, 1996 The instanton solution for the forced Burgers equation is found. This solution describes the exponential tail of the probability distribution function of velocity differences in the region where shock waves are absent; that is, for large positive velocity differences.
, Gurarie, , Migdal
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Algebraic traveling waves for the modified Korteweg–de-Vries–Burgers equation
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we characterize all traveling wave solutions of the Generalized Korteweg–de Vries–Burgers equation. In particular we recover the traveling wave solutions for the well-known Korteweg–de Vries–Burgers equation.
Claudia Valls
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A BPE Model for the Burgers Equation [PDF]
Publications of the Research Institute for Mathematical Sciences, 2003 We study the BPE (Brownian particle equation) model of the Burgers equation presented in the preceding article [6]. More precisely, we are interested in establishing the existence and uniqueness properties of solutions using probabilistic techniques.
Arturo Kohatsu, Shigeyoshi Ogawa
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Burgers’ equation in the complex plane
, 2023 Burgers' equation is a well-studied model in applied mathematics with connections to the Navier-Stokes equations in one spatial direction and traffic flow, for example.
King, John R. +5 more
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Partial Differential Equations in Applied Mathematics, 2022 In this paper I give a short review on the continuous, semi-discrete and discrete Burgers equations, which are featured as integrable equations that are linearisable.
Da-jun Zhang
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On the Uniform Controllability of the Burgers Equation [PDF]
SIAM Journal on Control and Optimization, 2007 In this paper, we deal with the viscous Burgers equation with a small dissipation coefficient $\nu$. We prove the (global) exact controllability property to nonzero constant states, that is to say, the possibility of finding boundary values such that the solution of the associated Burgers equation is driven to a constant state.
Glass, Olivier, Guerrero, Sergio
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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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On the Burgers–Poisson equation
Journal of Differential Equations, 2016 22 ...
Grunert, Katrin, Nguyen, Khai Tien
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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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