What question did this study set out to answer?

To resolve the mathematical blow-up problem in 3D incompressible Navier-Stokes equations by accounting for the discrete physical nature of matter and spacetime.

August 15, 2026Open Access

Proof of Singularity Elimination in the Navier-Stokes Equations and a Proposal for Modified Fluid Dynamics via a Discrete Stopper Term

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To resolve the mathematical blow-up problem in 3D incompressible Navier-Stokes equations by accounting for the discrete physical nature of matter and spacetime.
Modified the classical governing equations by embedding a discrete minimum repulsion limit (stopper term) based on atomic and electronic discreteness.
Performed rigorous mathematical proofs on 3D energy concentration bounds under the revised fluid dynamics formulation.
Infinite energy concentration at a single point is proven to be physically and mathematically impossible.
Singularities are eliminated, guaranteeing the existence of global smooth solutions and bounded turbulent behavior.

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Implication

Mathematical analysis demonstrates singularity elimination in three-dimensional fluid equations using a discrete stopper term, guaranteeing global smooth solutions.

Cite This Study

河盛 et al. (2026) studied this question.

synapsesocial.com/papers/6a8019db75c2e31742c860c4 https://doi.org/10.5281/zenodo.21895839

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Implication

Mathematical analysis demonstrates singularity elimination in three-dimensional fluid equations using a discrete stopper term, guaranteeing global smooth solutions.

Proof of Singularity Elimination in the Navier-Stokes Equations and a Proposal for Modified Fluid Dynamics via a Discrete Stopper Term

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Discussion

Implication

Cite This Study

Proof of Singularity Elimination in the Navier-Stokes Equations and a Proposal for Modified Fluid Dynamics via a Discrete Stopper Term

Key Points

Discussion

Implication

Cite This Study

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