Analyticity estimates for the 3D magnetohydrodynamic equations

被引：0

作者：

Liu, Wenjuan ^{[1
]}

Peng, Jialing ^{[2
]}

机构：

[1] Northwest Univ, Sch Math, Xian 710069, Peoples R China

[2] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2024年 / 32卷 / 06期

基金：

中国国家自然科学基金;

关键词：

magnetohydrodynamic equations; the analyticity radius; Besov spaces; Gevrey regularity; global solution; NAVIER-STOKES EQUATIONS; GLOBAL WELL-POSEDNESS; RADIUS; REGULARITY;

D O I：

10.3934/era.2024173

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper was concerned with the Cauchy problem of the 3D magnetohydrodynamic (MHD) system. We first proved that this system was local well -posed with initial data in the Besov space (center dot)Bs p,q(R3), in the critical Besov space B-center dot-1+3 p,q (R3), and in Lp(R3) with p is an element of]3, 6[, respectively. We also p obtained a new growth rate estimates for the analyticity radius.

引用

页码：3819 / 3842

页数：24

共 25 条

[1] Analyticity and Decay Estimates of the Navier-Stokes Equations in Critical Besov Spaces [J].

Bae, Hantaek ;

Biswas, Animikh ;

Tadmor, Eitan .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2012, 205 (03) :963-991

[2]

Bahouri H, 2011, GRUNDLEHR MATH WISS, V343, P1, DOI 10.1007/978-3-642-16830-7_1

[3] On the maximal space analyticity radius for the 3D Navier-Stokes equations and energy cascades [J].

Biswas, Animikh ;

Foias, Ciprian .

ANNALI DI MATEMATICA PURA ED APPLICATA, 2014, 193 (03) :739-777

[4]

Chemin J-Y., 2004, ACTES JOURNEES MATH

[5] On the radius of analyticity of solutions to semi-linear parabolic systems [J].

Chemin, Jean-Yves ;

Gallagher, Isabelle ;

Zhang, Ping .

MATHEMATICAL RESEARCH LETTERS, 2020, 27 (06) :1631-1643

[6] Wellposedness and stability results for the Navier-Stokes equations in R3 [J].

Chemin, Jean-Yves ;

Gallagher, Isabelle .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2009, 26 (02) :599-624

[7]

DUVAUT G, 1972, ARCH RATION MECH AN, V46, P241

[8] GEVREY CLASS REGULARITY FOR THE SOLUTIONS OF THE NAVIER-STOKES EQUATIONS [J].

FOIAS, C ;

TEMAM, R .

JOURNAL OF FUNCTIONAL ANALYSIS, 1989, 87 (02) :359-369

[9] SOLUTIONS FOR SEMILINEAR PARABOLIC EQUATIONS IN LP AND REGULARITY OF WEAK SOLUTIONS OF THE NAVIER-STOKES SYSTEM [J].

GIGA, Y .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1986, 62 (02) :186-212

[10]

Grafakos L, 2014, GRAD TEXTS MATH, V250, DOI 10.1007/978-1-4939-1230-8

← 1 2 3 →