Successive Approximation for the Inhomogeneous Burgers Equation

被引：0
|
作者：
Mera, Azal [1 ]
Stepanenko, Vitaly A. [2 ]
Tarkhanov, Nikolai [3 ]
机构：
[1] Univ Babylon, Babylon, Iraq
[2] Siberian Fed Univ, Inst Math & Comp Sci, Svobodny 79, Krasnoyarsk 660041, Russia
[3] Univ Potsdam, Inst Math, Karl Liebknecht Str 24-25, D-14476 Potsdam, Germany
来源：
JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2018年 / 11卷 / 04期
关键词：
Navier-Stokes equations; classical solution;
D O I：
10.17516/1997-1397-2018-11-4-519-531
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The inhomogeneous Burgers equation is a simple form of the Navier-Stokes equations. From the analytical point of view, the inhomogeneous form is poorly studied, the complete analytical solution depending closely on the form of the nonhomogeneous term.
引用
收藏
页码：519 / 531
页数：13
相关论文
共 50 条
  • [21] Numerical Computation of the Tau Approximation for the Delayed Burgers Equation
    Haghani, F. Khaksar
    Vanani, S. Karimi
    Hafshejani, J. Sedighi
    CHINESE PHYSICS LETTERS, 2013, 30 (02)
  • [22] Numerical solution of Burgers' equation with restrictive Taylor approximation
    Gülsu, M
    Özis, T
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 171 (02) : 1192 - 1200
  • [23] A spectral approximation of the two-dimensional Burgers' equation
    Boules, AN
    Eick, IJ
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (02): : 299 - 309
  • [24] Numerical Computation of the Tau Approximation for the Delayed Burgers Equation
    F.Khaksar Haghani
    S.Karimi Vanani
    J.Sedighi Hafshejani
    Chinese Physics Letters, 2013, 30 (02) : 5 - 8
  • [25] Scaling function for the noisy Burgers equation in the soliton approximation
    Fogedby, HC
    EUROPHYSICS LETTERS, 2001, 56 (04): : 492 - 498
  • [26] A Nonlinear Flux Approximation Scheme for the Viscous Burgers Equation
    Kumar, N.
    Boonkkamp, H. M. ten Thije
    Koren, B.
    Linke, A.
    FINITE VOLUMES FOR COMPLEX APPLICATIONS VIII-HYPERBOLIC, ELLIPTIC AND PARABOLIC PROBLEMS, 2017, 200 : 457 - 465
  • [27] On the approximation of vorticity fronts by the Burgers-Hilbert equation
    Hunter, John K.
    Moreno-Vasquez, Ryan C.
    Shu, Jingyang
    Zhang, Qingtian
    ASYMPTOTIC ANALYSIS, 2022, 129 (02) : 141 - 177
  • [28] Determination of the exact solutions to the inhomogeneous burgers equation with the use of the darboux transformation
    A. G. Kudryavtsev
    O. A. Sapozhnikov
    Acoustical Physics, 2011, 57 : 311 - 319
  • [29] New exact solutions of one-dimensional inhomogeneous Burgers equation
    Miskinis, P
    REPORTS ON MATHEMATICAL PHYSICS, 2001, 48 (1-2) : 175 - 181
  • [30] Determination of the exact solutions to the inhomogeneous burgers equation with the use of the darboux transformation
    Kudryavtsev, A. G.
    Sapozhnikov, O. A.
    ACOUSTICAL PHYSICS, 2011, 57 (03) : 311 - 319
12345