Dylan Samuelian

collaborators

3 papers

math.AP2026

Nonexistence of finite-time blow-up for the equivariant harmonic map heat flow from $B^{2}$ to $S^{2}$

Dylan Samuelian

We consider $D$ -equivariant solutions to the harmonic map heat flow from $B^{2}$ to $S^{2}$ under general time-dependent smooth boundary data and prove that there is no finite-time blo…

math.AP2025

On blow-up trees for the harmonic map heat flow from $B^{2}$ to $S^{2}$

Dylan Samuelian

We consider finite-time and $k$ -equivariant solutions to the harmonic map heat flow from $B^{2}$ to $S^{2}$ under general time-dependent boundary data and prove that the bubble tree de…

math.AP2025

Construction of blow-up solutions for the focusing energy-critical nonlinear wave equation in $R^{4}$ and $R^{5}$

Dylan Samuelian

We construct solutions $u (x, t)$ to the focusing, energy-critical, nonlinear wave equation \begin{equation} \partial_{tt}u - Îu - |u|^{p-1}u = 0, \quad t \geq 0, \ x \in \mathbb{R}…

Nonexistence of finite-time blow-up for the equivariant harmonic map heat flow from B2 to S2

On blow-up trees for the harmonic map heat flow from B2 to S2

Construction of blow-up solutions for the focusing energy-critical nonlinear wave equation in R4 and R5

Nonexistence of finite-time blow-up for the equivariant harmonic map heat flow from $B^{2}$ to $S^{2}$

On blow-up trees for the harmonic map heat flow from $B^{2}$ to $S^{2}$

Construction of blow-up solutions for the focusing energy-critical nonlinear wave equation in $R^{4}$ and $R^{5}$