Gianluca Argentini

9 Questions 138 Answers 0 Followers

Questions related from Gianluca Argentini

Which are the simple and nice proofs of Sturm-Hurwitz Theorem about zeros of periodic functions?

Let f be a real continuous 2Pi (= 2 x 3.14...) -periodic function with Fourier series having null all the harmonic components of order < N. The Sturm-Hurwitz Theorem states that f has at least 2N...

16 November 2017 4,915 1 View

Are there some useful syntethic fuels?

What is the state of art about synthetic fuels, liquid or gaseous? Are there yet some examples of use for flame/combustion process? Gianluca

15 November 2017 8,699 3 View

What are the more important applications of mathematical Minimal Surfaces to Sciences or real world?

As minimal surface we can consider a surface (in R3 or Rn or Cn, where C = complex field) with zero mean curvature. What are the most useful applications to scientific disciplines or technical...

10 November 2017 8,154 8 View

In 2D unit square [0, 1] x [0, 1], a fluid motion of a single point can give a dense set in [0, 1] x [0, 1] ?

Suppose to have the unit square D = [0, 1] x [0, 1] and two-dim Navier-Stokes equations + continuity (e.g. dimensionless form uux+vuy = -px +1/Rey (uxx+uyy)). Are there a Reynolds number value...

06 November 2017 5,105 0 View

Are there physical applications of Banach-Tarski Paradox?

Banach-Tarski Theorem (also known as Paradox) is a mathematical statement which says that a sphere can be splitted into two (or an integer N...) spheres each equal to the original one. Do you know...

31 October 2017 9,597 2 View

Steve Smale problems for 21th century: some news?

Some news about state of the art about Steve Smale 21th century problems; in particular, I'm interested on "Mean Value Problem" (not inserted in original Smale's 1998 list, but formulated by Smale...

25 October 2017 4,121 1 View

What is the state of art regarding Navier-Stokes?

Which is the status of mathematical research about existence and unicity for Navier-Stokes equations (and boundary problems) for finite or infinite domains? Gianluca

18 October 2017 1,825 3 View

There is a general analytic expression of solutions for generalized Tricomi PDE?

In a 2010 paper Construction of classic exact solutions for Tricomi equation I have proposed a method for generalized Tricomi pde uxx + a(x)uyy = 0 construction of analytical solutions. But there...

11 October 2017 8,594 4 View

What is the applicability of Newton Sine-Squared Law?

Applicability on the range of fluid dynamics for bodies moving in a fluid such air, Re about 103. Thanks. Gianluca

19 September 2017 4,628 4 View