4 problems

Kohn–Müller branching conjecture. The minimizers of the Kohn–Müller functional exhibit this branching structure.

Let $\alpha>0$, $\beta>0$, and $\xi\in(0,1)$, and consider the characteristic equation associated with the beam model containing pointwise damping and stiffness at $\xi$. Suppose t…

Let $u$ solve the beam equation with positive constants $a$, $b$ and $\alpha$, and with the pointwise damping term $\alpha \frac{\partial u}{\partial t}(\xi,t)\delta_{\xi}$ at…

Radius-of-convergence conjecture. The radius of quadratic convergence of the return mapping algorithm is adversely influenced by enforcing $\boldsymbol H$ to be zero at each outer…