Zobrazeno 1 - 10
of 181
pro vyhledávání: '"Chamorro, Diego"'
We study in this article a new pointwise estimate for ''rough'' singular integral operators. From this pointwise estimate we will derive Sobolev type inequalities in a variety of functional spaces.
Externí odkaz:
http://arxiv.org/abs/2409.16691
Autor:
Chamorro, Diego, Llerena, David
The micropolar fluid system is a model based on the Navier-Stokes equations which considers two coupled variables: the velocity field $\vec u$ and the microrotation field $\vec\omega$. Assuming an additional condition over the variable $\vec u$ we wi
Externí odkaz:
http://arxiv.org/abs/2406.03291
In this article we study some Liouville-type theorems for the stationary 3D Navier-Stokes equations. These results are related to the uniqueness of weak solutions for this system under some additional information over the velocity field, which is usu
Externí odkaz:
http://arxiv.org/abs/2311.07173
In this article we study some problems related to the incompressible 3D Navier-Stokes equations from the point of view of Lebesgue spaces of variable exponent. These functional spaces present some particularities that make them quite different from t
Externí odkaz:
http://arxiv.org/abs/2309.10420
We consider here the stationary Micropolar fluid equations which are a particular generalization of the usual Navier-Stokes system where the microrotations of the fluid particles must be taken into account. We thus obtain two coupled equations: one b
Externí odkaz:
http://arxiv.org/abs/2306.04270
Autor:
Chamorro, Diego, Jarrín, Oscar
In this article we consider a damped version of the incompressible Navier-Stokes equations in the whole three-dimensional space with a divergence-free and time-independent external force. Within the framework of a well-prepared force and with a parti
Externí odkaz:
http://arxiv.org/abs/2304.03134
Autor:
Chamorro, Diego, Mîndrilă, Claudiu
We address here the problem of regularity for weak solutions of the 3D Boussinesq equation. By introducing the new notion of partial suitable solutions, which imposes some conditions over the velocity field only, we show a local gain of regularity fo
Externí odkaz:
http://arxiv.org/abs/2303.10948
Autor:
Chamorro, Diego, Llerena, David
The incompressible Micropolar system is given by two coupled equations: the first equation gives the evolution of the velocity field u while the second equation gives the evolution of the microrotation field $\omega$. In this article we will consider
Externí odkaz:
http://arxiv.org/abs/2302.02675
Autor:
Chamorro, Diego, Poggi, Bruno
We investigate existence, Liouville type theorems and regularity results for the 3D stationary and incompressible fractional Navier-Stokes equations: in this setting the usual Laplacian is replaced by its fractional power $(-\Delta)^{\frac{\alpha}{2}
Externí odkaz:
http://arxiv.org/abs/2211.13077
Autor:
Chamorro, Diego, Menozzi, Stéphane
We consider parabolic PDEs associated with fractional type operators drifted by non-linear singular first order terms. When the drift enjoys some boundedness properties in appropriate Lebesgue and Besov spaces, we establish by exploiting a priori Bes
Externí odkaz:
http://arxiv.org/abs/2206.07420