EuDML | Browse

The search session has expired. Please query the service again.

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 21 – 30 of 30

Remarks on regularity criteria for the Navier-Stokes equations with axisymmetric data

Zujin Zhang (2016)

Annales Polonici Mathematici

We consider the axisymmetric Navier-Stokes equations with non-zero swirl component. By invoking the Hardy-Sobolev interpolation inequality, Hardy inequality and the theory of $* A_{β}$ (1 < β < ∞) weights, we establish regularity criteria involving $u^{r}$ , $ω^{z}$ or $ω^{θ}$ in some weighted Lebesgue spaces. This improves many previous results.

Remarks on the a priori bound for the vorticity of the axisymmetric Navier-Stokes equations

Zujin Zhang, Chenxuan Tong (2022)

Applications of Mathematics

We study the axisymmetric Navier-Stokes equations. In 2010, Loftus-Zhang used a refined test function and re-scaling scheme, and showed that $| ω^{r} (x, t) | + | ω^{z} (r, t) | \leq \frac{C}{r^{10}}, 0 < r \leq \frac{1}{2} .$ By employing the dimension reduction technique by Lei-Navas-Zhang, and analyzing $ω^{r}$ , $ω^{z}$ and $ω^{θ} / r$ on different hollow cylinders, we are able to improve it and obtain $| ω^{r} (x, t) | + | ω^{z} (r, t) | \leq \frac{C | \ln r |}{r^{17 / 2}}, 0 < r \leq \frac{1}{2} .$

Remarks on the blow-up criterion for the MHD system involving horizontal components or their horizontal gradients

Zujin Zhang, Xian Yang (2016)

Annales Polonici Mathematici

We study the Cauchy problem for the MHD system, and provide two regularity conditions involving horizontal components (or their gradients) in Besov spaces. This improves previous results.

Remarks on the equatorial shallow water system

Chloé Mullaert (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

This article recalls the results given by A. Dutrifoy, A. Majda and S. Schochet in [1] in which they prove an uniform estimate of the system as well as the convergence to a global solution of the long wave equations as the Froud number tends to zero. Then, we will prove the convergence with weaker hypothesis and show that the life span of the solutions tends to infinity as the Froud number tends to zero.

Currently displaying 21 – 30 of 30

Previous Page 2

Displaying 21 – 30 of 30

Remarks on regularity criteria for the Navier-Stokes equations with axisymmetric data

Remarks on the a priori bound for the vorticity of the axisymmetric Navier-Stokes equations

Remarks on the blow-up criterion for the MHD system involving horizontal components or their horizontal gradients

Remarks on the equatorial shallow water system

Remarks on vacuum state and uniqueness of concentration process.

Research of a mathematical model of low-concentrated aqueous polymer solutions.

Resolvent estimates for 2-dimensional perturbations of plane Couette flow.

Résultats récents sur les fluides parfaits incompressibles bidimensionnels

Return method : application to controllability

Revisited isoperimetric inequalities for the p-capacity and application to the muskat problem

Currently displaying 21 – 30 of 30