Singular solutions of Navier Stokes equations with time-dependent external force terms in L2
Joerg Kampen
TL;DR
This paper demonstrates that Navier-Stokes equations with time-dependent external forces in L2 can admit solutions that develop singularities, highlighting potential complexities in fluid dynamics modeling.
Contribution
It introduces the existence of singular solutions for Navier-Stokes equations with time-dependent external forces in L2, a novel insight into their mathematical behavior.
Findings
Singular solutions can occur with time-dependent external forces in L2.
The results expand understanding of solution regularity in Navier-Stokes equations.
Implications for fluid dynamics modeling and mathematical analysis.
Abstract
It is shown that Navier Stokes equation models with time dependent external forces in L2 can have singular solutions.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Navier-Stokes equation solutions · Quantum chaos and dynamical systems