Results 11 to 20 of about 1,249,069 (294)
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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Burgers’ equation in the complex plane [PDF]
, 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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A Galerkin approximation scheme for the mean correction in a mean-reversion stochastic differential equation [PDF]
, 2013 This paper is concerned with the following Markovian stochastic dierential equation of mean-reversion type dRt = ( + (Rt; t))Rtdt + RtdBt with an initial value R0 = r0 2 R, where 2 R and > 0 are constants, and the mean correction function : R [0; 1) 7 ...
Wu, JiangLun, Yang, Wei
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On stochastic differential equations and a generalised Burgers equation [PDF]
, 2012 In this paper, we discuss a link of Itˆo’s stochastic differential equa- tions to nonlinear partial differential equations of Burgers type. Un- der certain conditions, we derive a generalised Burgers equation from a stochastic differential equation.
Wu, JiangLun, Yang, Wei
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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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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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A BPE Model for the Burgers Equation [PDF]
Publications of the Research Institute for Mathematical Sciences, 2004 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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A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation [PDF]
, 2010 Two recent papers are considered in which solitary travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
Parkes, E.J.
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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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