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Regularity and decay of 3D incompressible MHD equations with nonlinear damping terms

100%

Ye Z.

Colloquium Mathematicum

2015

tom 139

nr 2

185-203

We prove the existence and uniqueness of global strong solutions to the Cauchy problem for 3D incompressible MHD equations with nonlinear damping terms. Moreover, the preliminary L² decay for weak solutions is also established.

A regularity criterion for the 2D MHD and viscoelastic fluid equations

100%

Ye Z.

Annales Polonici Mathematici

2015

tom 114

nr 2

123-131

This paper is dedicated to a regularity criterion for the 2D MHD equations and viscoelastic equations. We prove that if the magnetic field B, respectively the local deformation gradient F, satisfies $∇B, ∇F ∈ L^{q}(0,T;L^{p}(ℝ²))$ for 1/p + 1/q = 1 and 2 < p ≤ ∞, then the corresponding local solution can be extended beyond time T.

On differential independence of the Riemann zeta function and the Euler gamma function

63%

Li B., Ye Z.

Acta Arithmetica

2008

tom 135

nr 4

333-337

Ograniczanie wyników

1 Acta Arithmetica

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

3 Ye Z.

1 Li B.

2 2015

1 2008

Wyniki wyszukiwania

Regularity and decay of 3D incompressible MHD equations with nonlinear damping terms

A regularity criterion for the 2D MHD and viscoelastic fluid equations

On differential independence of the Riemann zeta function and the Euler gamma function