Burgers' equation in non-commutative space-time
The Moyal *-deformed noncommutative version of Burgers' equation is considered. Using the *-analog of the Cole-Hopf transformation, the linearization of
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Burgers space versus real space in the nonlinear theory of dislocations
Some double space tensorial quantities in the nonlinear theory of dislocations are considered. Their real space counterparts are introduced.
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Burgers Turbulence and Interface Growth III. Similarity Functional Solution of Hopf Equation. the Case of Random Gaussian Forcing
For the problem of Burgers turbulence with random gaussian forcing a similarity functional solution of Hopf equation is presented and
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Approach to Equilibrium for a Forced Burgers Equation
We show that approach to equilibrium in certain forced Burgers equations is implied by a decay estimate on a suitable
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A Recurrence Formula of Solutions for Burgers Equations
A Backlund transformation(BT) and a recurrence formula are derived by the homogeneous balance(HB) method. A initial problem of Burgers equations
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A universal law for tails of density pdf's in multi-dimensional Burgers turbulence
Extending work of E, Khanin, Mazel and Sinai (1997 PRL 78:1904-1907) on the one-dimensional Burgers equation, we show that density
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Disordered systems and Burgers' turbulence
Talk presented at the International Conference on Mathematical Physics (Brisbane 1997). This is an introduction to recent work on the
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Forced Burgers Turbulence in 3-Dimensions
We investigate non-perturbative results of inviscid forced Burgers equation supplemented to continuity equation in three-dimensions. The exact two-point correlation function
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Intermittency in the Burgers and KPZ equation with correlated noise
withdrawn; Earlier versions of chao-dyn/9904020 & chao-dyn/9904021 have been combined into one paper.
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Lagrangian, Hamiltonian and other Structures for the Heat Equation and Potential Burgers Equation
In this work, we construct the general solution to the Heat Equation (HE) and to many tensor structures associated to
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Low-dimensional modelling of a generalized Burgers equation
Burgers equation is one of the simplest nonlinear partial differential equations-it combines the basic processes of diffusion and nonlinear steepening.
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Mechanism for BCC to HCP Transformation: Generalization of the Burgers Model
Many structural transformations involve a group-nonsubgroup relationship between the initial and transformed phases, and hence are beyond the purview of
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Spontaneous Breaking of Translational Invariance and Spatial Condensation in Stationary States on a Ring: II. The Charged System and the Two-component Burgers Equations
We further study the stochastic model discussed in Ref.[2] in which positive and negative particles diffuse in an asymmetric, CP
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Statistical Theory for the Stochastic Burgers Equation in the Inviscid Limit
A statistical theory is developed for the stochastic Burgers equation in the inviscid limit. Master equations for the probability density
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The Instanton Solution of Forced Burgers Equation in Polyakov's Approach
We calculate the coefficients of the operator product expansion (OPE), in Polyakov's approach for Burgers turbulence. We show that the
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Universal Statistics of Inviscid Burgers Turbulence in Arbitrary Dimensions
We investigate the non-perturbative results of multi-dimensional forced Burgers equation coupled to the continuity equation. In the inviscid limit, we
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KPZ Equation and Surface Growth Model
We consider the ultra-discrete Burgers equation. All variables of the equation are discrete. We classify the equation into five regions
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A comparison of four approaches to the calculation of conservation laws
The paper compares computational aspects of four approaches to compute conservation laws of single differential equations (DEs) or systems of
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Casimir effect around a screw dislocation
In this work, it is shown that a non-zero vacuum energy density (the Casimir energy) for a scalar field appears
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Clustering of advected passive sliders on a fluctuating surface
We study the clustering properties of advected, non-interacting,passive scalar particles in a Burgers fluid with noise, a problem which maps
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Continuum field theory of string-like objects. Dislocations and superconducting vortices
Dense distributions of string-like objects in material media are considered in terms of continuum field theory. The strings are assumed
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Division of Differential operators, intertwine relations and Darboux Transformations
The problem of a differential operator left- and right division is solved in terms of generalized Bell polinomials for nonabelian
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Dynamics of channel incision in a granular bed driven by subsurface water flow
We propose a dynamical model for the erosive growth of a channel in a granular medium driven by subsurface water
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Dynamics of Freely Cooling Granular Gases
We study dynamics of freely cooling granular gases in two-dimensions using large-scale molecular dynamics simulations. We find that for dilute
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