SELF SIMILAR SOLUTIONS OF GENERALIZED BURGERS EQUATION

被引：0

作者：

Gmira, Abdelilah ^{[1
]}

Hamydy, Ahmed ^{[1
]}

Ouailal, Salek ^{[1
]}

机构：

[1] Univ Abdelmalek Essaadi, Fac Sci, Dept Math & Informat, Tetouan, Morocco

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年

关键词：

Burgers equation; self similar; classification; asymptotic behavior;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the initial-value problem (vertical bar u'vertical bar(p-2)u')' + beta ru' + alpha u - gamma vertical bar u vertical bar(q-1)u vertical bar u'vertical bar(p-2)u' = 0, r > 0, u(0) = A, u'(0) = 0, where A > 0, p > 2, q > 1, alpha > 0, beta > 0 and gamma is an element of R. Existence and complete classification of solutions are established. Asymptotic behavior for nonnegative solutions is also presented.

引用

页数：22

共 14 条

[1]

Benyounes B., 1999, ANN FS TOULOUSE, VVIII, P411

[2]

BREZIS H, 1986, ARCH RATION MECH AN, V95, P185, DOI 10.1007/BF00251357

[3]

Burgers J., 1948, Adv. Appl. Mech., DOI 10.1016/S0065-2156(08)70100-5

[4]

Burgers J M, 1974, NONLINEAR DIFFUSION, DOI [10.1007/978-94-010-1745-9, DOI 10.1007/978-94-010-1745-9]

[5]

Fowler A., 1997, CAMBRIDGE TEXTS APPL

[6] On the selfsimilar solutions of a diffusion convection equation [J].

Gmira, A ;

Bettioui, B .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2002, 9 (03) :277-294

[7] LOCAL AND GLOBAL PROPERTIES OF SOLUTIONS OF QUASILINEAR ELLIPTIC-EQUATIONS [J].

GUEDDA, M ;

VERON, L .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1988, 76 (01) :159-189

[8]

GURBATOV SN, 1991, NONLINEAR SCI THEO S

[9]

Leibovich S., 1974, Nonlinear waves, P103

[10]

Lighthill M.J., 1956, Surv. Mech

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