5 problems

Infinite-sign-change extension conjecture. The conclusion of Theorem 3 should hold when the left-hand side of $(\mathcal F5)$ changes sign infinitely many times, including the case…

Universal Jouguet applicability conjecture. The newly formulated condition derived from comparing the second derivatives of the $\mathcal U$-characteristics and the chemical shock…

Nonstationary homogenization conjecture. According to the scaling regime, the solutions have the following limits: (i) if $\lim_{\epsilon\searrow0}\sigma_\epsilon=+\infty$, they co…

Let $m_a$ and $m_b$ be the relative mobility functions, and define the fractional flow function by … The mobilities are assumed to be increasing and convex, and $f$ is called S-sha…

Uniform boundedness conjecture. For $\bar q(u)$ given by Eq.,