Blow-up criterion for compressible MHD equations
نویسندگان
چکیده
منابع مشابه
A Blow-up Criterion for the Compressible Navier-stokes Equations
In this paper, we obtain a blow up criterion for strong solutions to the 3-D compressible Naveri-Stokes equations just in terms of the gradient of the velocity, similar to the Beal-Kato-Majda criterion for the ideal incompressible flow. The key ingredients in our analysis are the a priori super-norm estimate of the momentum by a Moser-iteration and an estimate of the space-time square mean of t...
متن کاملA Blow-up Criterion for Classical Solutions to the Compressible Navier-stokes Equations
In this paper, we obtain a blow up criterion for classical solutions to the 3-D compressible Naiver-Stokes equations just in terms of the gradient of the velocity, similar to the Beal-Kato-Majda criterion for the ideal incompressible flow. In addition, initial vacuum is allowed in our case.
متن کاملBlow-up criterion of smooth solutions to the two-fluid MHD equations
In this paper we study blow-up criterion of smooth solution to the 3D twofluid MHD equations. By means of the Fourier frequency localization and Bony’s paraproduct decomposition, it is proved that smooth solution (u, b) can be extended after t = T if either u ∈ LqT (Ḃ 0 p,∞) with 2 q + 3 p ≤ 1 and b ∈ LT (Ḃ 0 ∞,∞), or (ω, J) ∈ L q T (Ḃ 0 p,∞) with 2 q + 3 p ≤ 2, where ω(t) = ∇× u denotes the vo...
متن کاملA Blow-up Criterion for the 3D Full Magnetohydrodynamic Equations
In this paper we establish a regularity criterion for the 3D incompressible full MHD equations with variable viscosity. Mathematics Subject Classifications: 35Q30, 76D03, 76D09
متن کاملBlow up criterion for compressible nematic liquid crystal flows in dimension three
In this paper, we consider the short time strong solution to a simplified hydrodynamic flow modeling the compressible, nematic liquid crystal materials in dimension three. We establish a criterion for possible breakdown of such solutions at finite time in terms of the temporal integral of both the maximum norm of the deformation tensor of velocity gradient and the square of maximum norm of grad...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2011
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2011.01.043