Ryan Hynd

activity

20112024

most citedA blowup criterion for ideal viscoelastic flow

19 citations · 34 across the 19 of their papers we have counts for

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Showing 2014 · math.APShow all

4 papers · 2 filters

math.AP2014★ 2 cited

An eigenvalue problem for fully nonlinear elliptic equations with gradient constraints

Ryan Hynd

We consider the problem of finding $λ \in R$ and a function $u : R^{n} \to R$ that satisfy the PDE $$ \max\left\{λ+ F(D^2u) -f(x),H(Du)\right\}=0, \quad…

math.AP2014

On Hamilton-Jacobi-Bellman equations with convex gradient constraints

Ryan Hynd, Henok Mawi

We study PDE of the form $max {F (D^{2} u, x) - f (x), H (D u)} = 0$ where $F$ is uniformly elliptic and convex in its first argument, $H$ is convex, $f$ is a given function and $u$ is the u…

math.AP2014

Compactness methods for doubly nonlinear parabolic systems

Ryan Hynd

We study solutions of the system of PDE $D ψ (v_{t}) = div D F (D v)$ , where $ψ$ and $F$ are convex functions. This type of system arises in various physical models for ph…

math.AP2014

A doubly nonlinear evolution for the optimal Poincaré inequality

Ryan Hynd, Erik Lindgren

We study the large time behavior of solutions of the PDE $∣ v_{t} ∣^{p - 2} v_{t} = Δ_{p} v$ . A special property of this equation is that the Rayleigh quotient $\int_Ω|Dv(x,t)|^pdx /\int_Ω|v(x,…