Viscosity method of a non-homogeneous Burgers equation

被引：4
|
作者：
Ding, XQ [1 ]
Yi, D [1 ]
机构：
[1] Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2003年 / 23卷 / 04期
关键词：
Burgers equation; hopf equation; nonhomogeneous equation;
D O I：
10.1016/S0252-9602(17)30501-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In [1], Ding et al. studied the nonhomogeneous Burgers equation u(t) + uu(x) = muu(xx) + 4x. (1.1) This paper will prove that when mu --> 0 the solution of (1.1) will approach the generalized solution of u(t) + uu(x) = 4x. (1.2) The authors notice that the equation (1.2) is beyond the scope of investigations by Oleinik O. in [2]. The solutions here are unbounded in general. The paper also studies the delta-wave phenomenon when (1.2) is jointed with some other equation.
引用
收藏
页码：567 / 576
页数：10
相关论文
共 50 条
  • [41] The breaking of a non-homogeneous fiber embedded in an infinite non-homogeneous medium
    Vrbik, J
    Singh, BM
    Rokne, J
    Dhaliwal, RS
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2003, 54 (02): : 212 - 223
  • [42] Regularization for a Sideways Problem of the Non-Homogeneous Fractional Diffusion Equation
    Chen, Yonggang
    Qiao, Yu
    Xiong, Xiangtuan
    FRACTAL AND FRACTIONAL, 2022, 6 (06)
  • [43] A DIFFERENTIAL EQUATION SYSTEM WITH NON-HOMOGENEOUS SOLUTIONS OF FINITE VARIATION
    SCHWABIK, S
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1968, 48 (08): : T30 - &
  • [44] Analytical solution of wave equation for arbitrary non-homogeneous media
    Khorasani, S
    Mehrany, K
    ELECTRO-OPTICAL SYSTEM DESIGN, SIMULATION, TESTING AND TRAINING, 2002, 4772 : 25 - 36
  • [45] ON THE VARIATIONAL SOLUTION OF THE POISSON EQUATION IN NON-HOMOGENEOUS MEDIA.
    Tomescu, F.M.G.
    Tomescu, Anca
    Revue roumaine de sciences techniques. Serie electrotechnique et energetique, 1982, 27 (01): : 3 - 13
  • [46] Computation of stresses in non-homogeneous elastic solids by local integral equation method: a comparative study
    Sladek, Vladimir
    Sladek, Jan
    Zhang, Chuanzeng
    COMPUTATIONAL MECHANICS, 2008, 41 (06) : 827 - 845
  • [47] SOLUTION OF NON-HOMOGENEOUS HEAT CONDUCTION EQUATION FOR MULTILAYERED BODIES
    BULAVIN, PE
    KASHCHEEV, VM
    INTERNATIONAL CHEMICAL ENGINEERING, 1965, 5 (01): : 112 - +
  • [48] The breaking of a non-homogeneous fiber embedded in an infinite non-homogeneous medium
    J. Vrbik
    B. M. Singh
    J. Rokne
    R. S. Dhaliwal
    Zeitschrift für angewandte Mathematik und Physik ZAMP, 2003, 54 : 212 - 223
  • [49] ANALYTICAL SOLUTIONS OF EQUATION OF HEAT CONDUCTION FOR NON-HOMOGENEOUS MEDIUM
    HEAPS, HS
    SRIVASTAVA, RD
    CANADIAN JOURNAL OF CHEMICAL ENGINEERING, 1964, 42 (03): : 120 - &
  • [50] Computation of stresses in non-homogeneous elastic solids by local integral equation method: a comparative study
    Vladimir Sladek
    Jan Sladek
    Chuanzeng Zhang
    Computational Mechanics, 2008, 41 : 827 - 845
12345