A remark on the regularity for the 3D Navier-Stokes equations in terms of the two components of the velocity.
A remark on the smoothness of bounded regions filled with a steady compressible and isentropic fluid
For convenient adiabatic constants, existence of weak solutions to the steady compressible Navier-Stokes equations in isentropic regime in smooth bounded domains is well known. Here we present a way how to prove the same result when the bounded domains considered are Lipschitz.
A remark on the solvability of the Dirichlet problem in Sobolev spaces with power-type weights
A remark on the stability of stationary solutions of parabolic variational inequalities
A remark on the uniqueness of fundamental solutions to the -Laplacian equation, .
A remark on the uniqueness problem for the weak solutions of Navier-Stokes equations
A remark on two dimensional periodic potentials.
A remark on uniqueness for quasilinear elliptic equations
A remark to a multipoint boundary value problem
A Remark to a Paper of Kato and Ikebe.
A remarkably interesting, simple P.D.E.
In this note, I will summarize and make a couple of small additions to some results which I obtained earlier with David Williams in [1]. Williams and I hope to expand and refine these additions in a future paper based on work that is still in process.
A representation formula for radially weighted biharmonic functions in the unit disc.
A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity
A result of existence for an original convection-diffusion equation.
En este artículo se estudia el análisis matemático de una ley de conservación que no es clásica. El modelo describe procesos estatigráficos en Geología y tiene en cuenta una condición de tasa de erosión limitada. En primer lugar se presentan el modelo físico y la formulación matemática (posiblemente nueva). Tras enunciar la definición solución se presentan las herramientas que permiten probar la existencia de soluciones.
A result on the bifurcation from the principal eigenvalue of the -Laplacian.
A result on the well posedness of the Cauchy problem for a class of hyperbolic operators with double characteristics
A review of some recent results for the approximate analytical solutions of nonlinear differential equations.
A review on the improved regularity for the primitive equations
In this work we will study some types of regularity properties of solutions for the geophysical model of hydrostatic Navier-Stokes equations, the so-called Primitive Equations (PE). Also, we will present some results about uniqueness and asymptotic behavior in time.
A Riccati equation arising in a boundary control problem for distributed parameters
Si prova resistenza locale della soluzione di una equazione di Riccati che si incontra in un problema di controllo ottimale. In ipotesi di regolarità per il costo si prova resistenza globale. Il problema astratto considerato è il modello di alcuni problemi di controllo ottimale governati da equazioni paraboliche con controllo sulla frontiera.
A Riemann problem with small viscosity and dispersion.