| viXra.org > Functions and Analysis > 2402 |
 |
 |
| viXra.org > Functions and Analysis > 2402 |
|
|
[6] viXra:2402.0152 [pdf] submitted on 2024-02-27 03:11:18
Authors: Saburou Saitoh
Comments: 7 Pages.
In this note, we give simple, mysterious, new type and best possible integral inequalities.
Category: Functions and Analysis
[5] viXra:2402.0126 [pdf] submitted on 2024-02-22 06:08:32
Authors: SongBom Kim, KwangJin Ro, MyongHyok Sin
Comments: 14 Pages.
In this paper, we have studied the weak Galerkin finite element method for the incompressible viscous Magneto-hydrodynamic(MHD) equations.A weak Galerkin finite element methods are based on new concept called discrete weak gradient, discrete weak divergence and discrete weak rotation, which are expected to play an important role in numerical methods for magneto-hydrodynamic equation.This article intends to provide a general framework for managing differential, divergence, rotation operators on generalized functions. With the proposed method, solving the magneto-hydrodynamic (MHD) equation is that the classical gradient, divergence, rotation operators are replaced by the discrete weak gradient, divergence, rotation and apply the Galerkin finite element method. It can be seen that the solution of the weak Galerkin finite element method is not only continuous function but also totally discontinuous function. For the proposed method, optimal order error estimates are established in various norms.
Category: Functions and Analysis
[4] viXra:2402.0098 [pdf] replaced on 2024-03-27 19:36:33
Authors: Dmitri Martila
Comments: 3 Pages.
All classical systems must be Galilean invariant,but Navier--Stokes equations are not. The solutionis the correct derivation of Navier--Stokes equations.
Category: Functions and Analysis
[3] viXra:2402.0074 [pdf] submitted on 2024-02-15 08:34:04
Authors: Yinghao Luo
Comments: 3 Pages.
The definition of a limit can only be applied to real numbers rather than infinity, and infinity is independent, necessary and important, so the definition of the limit is incomplete. Based on the incomplete definition of the limit, we can rigorously conclude that the field of real numbers is complete. However, from the point of view that the set of real numbers and the open interval (0, 1) are topologically equivalent but the (0, 1) interval is not a complete space, the completeness of the field of real numbers is inconsistent. We can give a complete definition of a limit through revision. According to the revised definitions, we can rigorously deduce that the field of real numbers is incomplete.
Category: Functions and Analysis
[2] viXra:2402.0040 [pdf] submitted on 2024-02-08 21:06:27
Authors: V. A. Yurko
Comments: 7 Pages.
Non-self-adjoint second-order ordinarydifferential operators on a finite interval with complex weights are studied. Properties of spectral characteristics are established andthe inverse problem of recovering operators from their spectral characteristics are investigated. For this class of nonlinear inverse problems an algorithm for constructing the global solution is obtained. To study this class of inverse problems, we develop ideas of the method of spectral mappings.
Category: Functions and Analysis
[1] viXra:2402.0013 [pdf] submitted on 2024-02-03 22:08:53
Authors: Ayoub Zaroual
Comments: 38 Pages. (Correction made by viXra Admin to conform with the requirements of viXra.org)
This article shows that zeta function is a spiral on the complexe plane, then based on the general equation of the spiral we define an analytic continuation for zeta function and finally we prove that Reimann hypothesis is true.
Category: Functions and Analysis
| Third-Party Links: |
|