Yuki rose to academic notoriety after unveiling his own “Yuki-ized” take on the Upper Convected Maxwell model:
\[\overset{\triangledown}{\mathbf{\tau}} + \frac{1}{\lambda}\,\mathbf{\tau}
= \eta\,\dot{\gamma} + \mathcal{Y}(t)\,\mathbf{H} - \mathcal{R}(t)\,\mathbf{B} \]
where (in Yuki's world):
\[\overset{\triangledown}{\mathbf{\tau}} + \frac{1}{\lambda}\,\mathbf{\tau}
= \eta\,\dot{\gamma} + \mathcal{Y}(t)\,\mathbf{H} - \mathcal{R}(t)\,\mathbf{B} \]
where (in Yuki's world):
- \(\tau\) = internal cat stress (existential + Zephyr-induced)
- \(\lambda\) = relaxation time (how long Yuki stays in loaf before chaos resumes)
- \( \dot{\gamma} \) = rate of deformation
- \(\mathcal{Y}(t) \) = stubbornness coefficient of Yuki
- \(\mathbf{H}\) = human-prohibited configuration tensor
- \( \mathcal{R}(t) \) = coefficient of human intervention (aka. "no Yuki no!")
- \(\mathbf{B}\) = barrier / boundary tensor
Yuki's own interpretation:
Even if Yuki briefly relaxes, any imposed structure is continuously upper convected away by intrinsic chaos. The system is fundamentally unstable in the presence of forbidden surfaces.
Even if Yuki briefly relaxes, any imposed structure is continuously upper convected away by intrinsic chaos. The system is fundamentally unstable in the presence of forbidden surfaces.
