Herman Jahzeel Martinez Suazo

A Dual-Phase Potential–Vortical Decomposition for Hydrodynamics: Explicit Real/Imaginary Splits, Electrodynamic Isomorphisms, Poynting Energy Fluxes, and Global Regularity

In this version I decided to include a proof and also some important remarks. The Potential Field and the Vortical Field are two parts of the same physics. Also, on this new version I include the analogies and comparisons (Isomorphism) with the electromagnetic theory.

A Dual-Phase Potential–Vortical Decomposition for Incompressible Hydrodynamics: Non-Linear Structure and Global Regularity

This is the final part, in which I provide an extended formulation of the vortivity for the Potential-Vortical decomposition, is showing how to express the potential field in terms of the vortical field.

Infinite Ensemble Formulation of the Navier–Stokes Equations Potential–Vortical Decomposition, Galerkin Projection, and Energy Estimates

This is the last part, for the infinite case of my ensemble, the orthogonality have a very important part in the global regularity acquired in the class selected. Maybe after this more classes can be found, if it is possible.

Global Regularity and Uniform H 1 A Priori Estimates for the Three-Dimensional Incompressible Navier–Stokes Equations under Structural Directional Vorticity Constraints

Now I am exploring the Nonlinear term interaction and I add more terms to the vorticity, additionally to the Beltrami core. Then generalized the idea to 4-term interaction, based on other natural systems which are similar to the turbulence phenomena.

Spectral Decomposition and Infinite Prime Wave Splitting in the Modulo 9 Arithmetic Stream: Unnormalized vs. Orthonormal Operator Dynamics

This preprint show the orthonormalization of the wave splitting operator, which converges in the infinite and solves the Riemann Hypothesis for any Sieve -mod- 9 already explained before.

Spectral Decomposition and Infinite Prime Wave Splitting in the Modulo 9 Arithmetic Stream: Unnormalized vs. Orthonormal Operator Dynamics

This preprint show the orthonormalization of the wave splitting operator, which converges in the infinite and solves the Riemann Hypothesis for any Sieve -mod- 9 already explained before.

Global Regularity and Uniform H 1 A Priori Estimates for the Three-Dimensional Incompressible Navier–Stokes Equations under Structural Directional Vorticity Constraints

Now I am exploring the Nonlinear term interaction and I add more terms to the vorticity, additionally to the Beltrami core. Then generalized the idea to 4-term interaction, based on other natural systems which are similar to the turbulence phenomena.

Spectral Convergence and Cascading Micro-Wave Dynamics in Generalized Modulo-MSieve-Lucas Wave Fields

This is the final part of my research about the Riemann Hypothesis, with my framework, I can create many wave spectrum based in my wave-splitting operator, I will call Golden Ratio Spectrum, all the frequencies created by prime numbers, with waves of prime numbers.

Spectral Decomposition and Continuum Limits of Parity-Reduced Arithmetic Wave Operators: Acoustic Micro-Tuning and Explicit Zero-Sum Equivalences to the Riemann Hypothesis

This is my reformulation for the Riemann Hypothesis with my method, the spectral decomposition or wave splitting.

Prime Candidate Wave Equations and Harmonic Superposition in a Modulo-9 Golden Ratio Sieve Framework

My own formulation about prime numbers and connections to the Riemann´s Hypothesis.

Prime Candidate Wave Equations and Harmonic Superposition in a Modulo-9 Golden Ratio Sieve Framework

My own formulation about prime numbers and connections to the Riemann´s Hypothesis.

Potential–Vortical Decompositions for Incompressible Navier–Stokes Flow: A framework and a restricted Beltrami class

This is an own formulation to solve the vorticity equation with analytical methods by using potentials and a extended vortical field based in my potential field formulation.

The Potential Field Theory: A proposed framework to find a solution for the Millenium Problem about the Navier-Stokes equations for an incompressible fluid

A complete deduction of my Potential field, with a special case of a Beltrami reduction.