311 citations · 627 across the 31 of their papers we have counts for
18 papers · 1 filter
Energy estimates of harmonic maps between Riemannian manifolds
M. A. Ragusa, A. Tachikawa
Let be a bounded open set, a generic point which belongs to and , $D_α= \pa…
Regularity criteria via one directional derivative of the velocity in anisotropic Lebesgue spaces to the 3D Navier-Stokes equations
M. A. Ragusa, F. Wu
In this paper, we consider the regularity criterion for 3D incompressible Navier-Stokes equations in terms of one directional derivative of the velocity in anisotropic Lebesgue spa…
High-order numerical method for two-dimensional Riesz space fractional advection-dispersion equation
A. Borhanifar, M. A. Ragusa, S. Valizadehaz
In this paper, by combining of fractional centered difference approach with alternating direction implicit method, we introduce a mixed difference method for solving two-dimensiona…
Weak solutions for a system of quasilinear elliptic equations
M. A. Ragusa, A. Razani
A system of quasilinear elliptic equations on an unbounded domain is considered. The existence of a sequence of radially symmetric weak solutions is proved via variational methods.
A regularity criterion for three-dimensional micropolar fluid equations in Besov spaces of negative regular indices
Fan Wu, Maria Alessandra Ragusa
In this article, we study regularity criteria for the 3D micropolar fluid equations in terms of one partial derivative of the velocity. It is proved that if \begin{equation*} \int^…
Sequence of radially symmetric weak solutions for some nonlocal elliptic problem in
M. Makvand Chaharlang, Maria Alessandra Ragusa, Abdolrahman Razani
In this article a nonlocal elliptic problem involving -Laplacian on unbounded domain is considered. Using variational methods and under suitable conditions, the existence of a s…
A regularity criterion in weak spaces to Boussinesq equations
Ravi P. Agarwal, S. Gala, Maria Alessandra Ragusa
In this paper, we study regularity of weak solutions to the incompressible Boussinesq equations in . The main goal is to establish the regularity criter…
On Lagrange duality theory for dynamics vaccination games
Annamaria BArbagallo, Maria Alessandra Ragusa
The authors study an infinite dimensional duality theory finalized to obtain the existence of a strong duality between a convex optimization problem connected with the management o…
Regularity of minimizers of some variational integrals with discontinuity
Maria Alessandra Ragusa, Atsushi Tachikawa
We prove regularity properties in the vector valued case for minimizers of variational integrals of the form where the integrand is not ne…
On the regularity of weak solutions of the Boussinesq equations in Besov spaces Dedicated to Enrique Zuazua on the occasion of his sixtieth birthday
A. Barbagallo, S. Gala, M. A. Ragusa +1
The main issue addressed in this paper concerns an extension of a result by Z. Zhang who proved, in the context of the homogeneous Besov space $\dot{B}_{\infty ,\infty }^{-1}(\math…
Study of Saharan dust influence on PM10 measures in Sicily from 2013 to 2015
A. Cuspilici, P. Monforte, M. A. Ragusa
Nowadays, particulate matter, especially that with small dimension as PM10, PM2.5 and PM1, is the air quality indicator most commonly associated with a number of adverse health eff…
Mixed Morrey spaces and their applications to partial differential equations
M. A. Ragusa, A. Scapellato
In this paper, new classes of functions are defined. These spaces generalize Morrey spaces and give a refinement of Lebesgue spaces. Some embeddings between these new classes are a…
Holder continuity of weak solutions of p-Laplacian PDE's with VMO coefficients
C. S. Goodtich, m. A. Ragusa
We consider solutions of the -Laplacian PDE \begin{equation} \nabla\cdot\big(a(x)|Du|^{p-2}Du\big)=0,\notag \end{equation} for $x\inΩ\su…
A regularity criterion for 3D micropolar fluid flows in terms of one partial derivative of the velocity
S. Gala, M. A. Ragusa
In this work, we prove a regularity criterion for micropolar fluid flows in terms of the one partial derivative of the velocity in Morrey-Campanato space.
A regularity criterion to the 3d Boussinesq equations
A. M. Alghamdi, I. Ben Omrane, S. Gala +1
The paper deals with the regularity criterion for the weak solutions to the 3D Boussinesq equations in terms of the partial derivatives in Besov spaces. It is proved that the weak…
Interior estimates in Campanato spaces related to quadratic functionals
M. A. Ragusa, A. Tachikawa
In this paper we obtain interior estimates in Campanato spaces for the derivatives of the minimizers of quadratic functionals.
Regularity for minimizers for functionals of double phase with variable exponents
M. A. Ragusa, A. Tachikawa
The functionals of double phase type \[ \mathcal{H} (u):= \int \left(|Du|^{p} + a(x)|Du|^{q} \right) dx, ( q > p > 1, a(x)\geq 0) \] are introduced in the epoch-making paper by Col…
A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz space
R. Agarwal, S. Gala, M. A. Ragusa
In this paper, we study the regularity criterion of weak solutions to the three-dimensional (3D) MHD equations. It is proved that the solution becomes regular provided that…