Results 271 to 280 of about 8,315 (291)

A Hamiltonian Regularization of the Burgers Equation

Journal of Nonlinear Science, 2006
We consider a quasilinear equation that consists of the inviscid Burgers equation plus O(?2) nonlinear terms. As we show, these extra terms regularize the Burgers equation in the following sense: for smooth initial data, the ? > 0 equation has classical solutions globally in time. Furthermore, in the zero-?
Harish S. Bhat, Razvan C. Fetecau
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A New Type of Burgers' Equation

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1973
AbstractAssuming a similarity hypothesis that achieves the balance of non‐linearity, unsteadiness and dissipative effects, a new type of Burgers' equation is obtained. Consideration is limited to those cases where the singular surface theory predicts no growth of acceleration wave. Two examples are given.
Nariboli, G. A., Lin, W. C.
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Asymptotics for the Burgers Equation with Pumping

Communications in Mathematical Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hayashi, Nakao, Naumkin, Pavel I.
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Rapidly Forced Burgers Equation

1993
A forced Burgers equation is considered. Using an analysis on the whole line, earlier results found by semiline methods are recovered. In the case where the time dependence of the forcing is rapidly varying an asymptotic expansion of the solution of Burgers equation is obtained.
M. J. ABLOWITZ, DE LILLO, Silvana
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A numerical solution of Burgers' equation

Applied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. N. Aksan, A. Özdes
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Singularities in solutions of Burgers' equation

Physics Letters A, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kamenshchik, A. Yu., Khalatnikov, I. M., Martellini, M.   +2 more
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The Burgers equation

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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Stochastically Forced Burgers Equation

1994
One of the first attempts to arrive at the statistical theory of turbulent fluid motion was the proposal by Burgers of his celebrated equation, which in one space dimension is $$ {\partial _t}{u_t}(x) = v\partial _x^2{u_t}(x) - {u_t}(x){\partial _x}{u_t}(x) $$ (1) where u t (x) is the velocity field and v is the viscosity.
Bertini L, CANCRINI, NICOLETTA, Jona Lasinio G.   +2 more
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A cellular automaton for Burgers' equation

Complex Syst., 1987
The authors develop and analyze a cellular automaton for the simulation of Burgers' equation. The automaton consists of moving `particles' on a one-dimensional periodic lattice with speed one and in a random direction subject to the exclusion principle that at most one particle may move in a given direction from a given lattice site, at a given time ...
Bruce M. Boghosian, C. David Levermore
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BURGERS' EQUATION

Soil Science, 1981
B. E. CLOTHIER, J. H. KNIGHT, I. WHITE
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