منابع مشابه
Decay Mode Solutions to (2 + 1)-Dimensional Burgers Equation, Cylindrical Burgers Equation and Spherical Burgers Equation
Three (2 + 1)-dimensional equations—Burgers equation, cylindrical Burgers equation and spherical Burgers equation, have been reduced to the classical Burgers equation by different transformation of variables respectively. The decay mode solutions of the Burgers equation have been obtained by using the extended G G ′ -expansion method, substituting the solutions obtained into the cor...
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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. The results agree with the one found recently by Polyakov, who used the operator product conjecture. If this conjecture is true, then our WKB asymptotics of the Wyld functional i...
متن کاملQuantum lattice-gas model for the Burgers equation
A quantum algorithm is presented for modeling the time evolution of a continuous field governed by the nonlinear Burgers equation in one spatial dimension. It is a microscopic-scale algorithm for a type-II quantum computer, a large lattice of small quantum computers interconnected in nearest neighbor fashion by classical communication channels. A formula for quantum state preparation is present...
متن کاملA Microscopic Model of Interface Related to the Burgers Equation
A microscopic model for a solid-on-solid type of interface under the influence of an external field is introduced. It is proven that in equilibrium the macroscopic profile satisfies a partial differential equation which is (up to a transformation) the stationary Burgers equation. The study is based on the structure of the invariant measures for a related asymmetric simple exclusion process.
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In this paper, we prove the existence and uniqueness of weak entropy solutions to the Burgers-Poisson equation for initial data in L(R). Additional an Oleinik type estimate is established and some criteria on local smoothness and wave breaking for weak entropy solutions are provided.
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ژورنال
عنوان ژورنال: Applicable Analysis
سال: 2020
ISSN: 0003-6811,1563-504X
DOI: 10.1080/00036811.2020.1747612