DECAY OF SOLUTIONS TO MAGNETOHYDRODYNAMICS EQUATIONS IN 2 SPACE DIMENSIONS

被引：15

作者：

GUO, BL ^{[1
]}

ZHANG, LH ^{[1
]}

机构：

[1] OHIO STATE UNIV, DEPT MATH, COLUMBUS, OH 43210 USA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES | 1995年 / 449卷 / 1935期

关键词：

D O I：

10.1098/rspa.1995.0033

中图分类号：

学科分类号：

摘要：

We present a simple method for verifying the uniform L(1) bound and establish L(2) decay of the global solutions to the initial-value problems for the magnetohydrodynamics equations in two space dimensions.

引用

页码：79 / 91

页数：13

共 28 条

[1] ON THE DECAY OF SOLUTIONS OF THE GENERALIZED BENJAMIN-BONA-MAHONY EQUATION [J].

ALBERT, J .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 141 (02) :527-537

[2] DISPERSION OF LOW-ENERGY WAVES FOR THE GENERALIZED BENJAMIN-BONA-MAHONY EQUATION [J].

ALBERT, J .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1986, 63 (01) :117-134

[3] DECAY OF SOLUTIONS OF SOME NONLINEAR-WAVE EQUATIONS [J].

AMICK, CJ ;

BONA, JL ;

SCHONBEK, ME .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 81 (01) :1-49

[4]

Biler P., 1992, DIFFERENTIAL INTEGRA, V5, P891

[5]

Biler P., 1984, B POLISH ACAD SCI MA, V32, P275

[6] PARTIAL REGULARITY OF SUITABLE WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONS [J].

CAFFARELLI, L ;

KOHN, R ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1982, 35 (06) :771-831

[7] LN SOLUTIONS OF THE STATIONARY AND NONSTATIONARY NAVIER-STOKES EQUATIONS IN RN [J].

CHEN, ZM .

PACIFIC JOURNAL OF MATHEMATICS, 1993, 158 (02) :293-303

[8] SOLUTIONS OF THE STATIONARY AND NONSTATIONARY NAVIER-STOKES EQUATIONS IN EXTERIOR DOMAINS [J].

CHEN, ZM .

PACIFIC JOURNAL OF MATHEMATICS, 1993, 159 (02) :227-240

[9]

DAOXING X, 1984, THEORY REAL ANAL FUN

[10] TEMPORAL ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF THE BENJAMIN-ONO-BURGERS EQUATION [J].

DIX, DB .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 90 (02) :238-287

← 1 2 3 →