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Research Paper#Fluid Dynamics, Navier-Stokes Equations🔬 ResearchAnalyzed: Jan 3, 2026 08:41

Global Classical Solutions for Non-Isentropic Navier-Stokes

Published:Dec 31, 2025 11:38
1 min read
ArXiv

Analysis

This paper addresses a long-standing open problem in fluid dynamics: finding global classical solutions for the multi-dimensional compressible Navier-Stokes equations with arbitrary large initial data. It builds upon previous work on the shallow water equations and isentropic Navier-Stokes equations, extending the results to a class of non-isentropic compressible fluids. The key contribution is a new BD entropy inequality and novel density estimates, allowing for the construction of global classical solutions in spherically symmetric settings.
Reference

“The paper proves a new BD entropy inequality for a class of non-isentropic compressible fluids and shows the "viscous shallow water system with transport entropy" will admit global classical solutions for arbitrary large initial data to the spherically symmetric initial-boundary value problem in both two and three dimensions.”

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Research Paper#Fluid Dynamics, Propulsion, Navier-Stokes Equations🔬 ResearchAnalyzed: Jan 3, 2026 09:24

Navier-Slip Propulsion of Rigid Bodies in Viscous Fluids

Published:Dec 30, 2025 23:15
1 min read
ArXiv

Analysis

This paper investigates the self-propelled motion of a rigid body in a viscous fluid, focusing on the impact of Navier-slip boundary conditions. It's significant because it models propulsion in microfluidic and rough-surface regimes, where traditional no-slip conditions are insufficient. The paper provides a mathematical framework for understanding how boundary effects generate propulsion, extending existing theory.
Reference

“The paper establishes the existence of weak steady solutions and provides a necessary and sufficient condition for nontrivial translational or rotational motion.”

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Physics#Heavy Ion Physics, Quark-Gluon Plasma🔬 ResearchAnalyzed: Jan 3, 2026 18:27

Charm Quark Evolution in Heavy Ion Collisions

Published:Dec 29, 2025 19:36
1 min read
ArXiv

Analysis

This paper investigates the behavior of charm quarks within the extreme conditions created in heavy ion collisions. It uses a quasiparticle model to simulate the interactions of quarks and gluons in a hot, dense medium. The study focuses on the production rate and abundance of charm quarks, comparing results in different medium formulations (perfect fluid, viscous medium) and quark flavor scenarios. The findings are relevant to understanding the properties of the quark-gluon plasma.
Reference

“The charm production rate decreases monotonically across all medium formulations.”

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Research Paper#Concrete Modeling, Fluid Dynamics, Material Science🔬 ResearchAnalyzed: Jan 3, 2026 18:56

Elasto-Viscoplastic Model for Fresh Concrete Flow

Published:Dec 29, 2025 10:46
1 min read
ArXiv

Analysis

This paper addresses the limitations of existing models for fresh concrete flow, particularly their inability to accurately capture flow stoppage and reliance on numerical stabilization techniques. The proposed elasto-viscoplastic model, incorporating thixotropy, offers a more physically consistent approach, enabling accurate prediction of flow cessation and simulating time-dependent behavior. The implementation within the Material Point Method (MPM) further enhances its ability to handle large deformation flows, making it a valuable tool for optimizing concrete construction.
Reference

“The model inherently captures the transition from elastic response to viscous flow following Bingham rheology, and vice versa, enabling accurate prediction of flow cessation without ad-hoc criteria.”

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Research Paper#Computational Fluid Dynamics, Reduced Order Modeling, Navier-Stokes Equations🔬 ResearchAnalyzed: Jan 3, 2026 19:54

ROM for Viscous, Incompressible Flow: Exponential Convergence

Published:Dec 27, 2025 11:50
1 min read
ArXiv

Analysis

This paper investigates the use of Reduced Order Models (ROMs) for approximating solutions to the Navier-Stokes equations, specifically focusing on viscous, incompressible flow within polygonal domains. The key contribution is demonstrating exponential convergence rates for these ROM approximations, which is a significant improvement over slower convergence rates often seen in numerical simulations. This is achieved by leveraging recent results on the regularity of solutions and applying them to the analysis of Kolmogorov n-widths and POD Galerkin methods. The paper's findings suggest that ROMs can provide highly accurate and efficient solutions for this class of problems.
Reference

“The paper demonstrates "exponential convergence rates of POD Galerkin methods that are based on truth solutions which are obtained offline from low-order, divergence stable mixed Finite Element discretizations."”

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Research#Fluid Dynamics🔬 ResearchAnalyzed: Jan 10, 2026 07:55

Novel Fluid Dynamics Formulation for Complex Surface Flows

Published:Dec 23, 2025 20:51
1 min read
ArXiv

Analysis

This research explores a new computational approach to simulating fluid dynamics on complex geometries. The streamfunction-vorticity formulation offers a promising framework for addressing challenging flow problems.
Reference

“The research focuses on the streamfunction-vorticity formulation for incompressible viscid and inviscid flows on general surfaces.”

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Research#Fluid Dynamics🔬 ResearchAnalyzed: Jan 10, 2026 08:40

Analyzing Long-Term Dynamics of 2D Inhomogeneous Fluid Flows

Published:Dec 22, 2025 11:25
1 min read
ArXiv

Analysis

This article, sourced from ArXiv, likely presents a theoretical analysis of fluid dynamics. The research focuses on the long-term behavior of a specific type of fluid flow, which could have implications for modeling complex systems.
Reference

“On the large time behavior of the 2D inhomogeneous incompressible viscous flows.”

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