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- Fermi National Accelerator LaboratoryUS233 papers
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5 papers · 2 filters
Hessian equations with elementary symmetric functions
Hongjie Dong
We consider the Dirichlet problem for two types of degenerate elliptic Hessian equations . New results about solvability of the equations in the space are provided.
Diffusion and Mixing in Fluid Flow
P. Constantin, A. Kiselev, L. Ryzhik +1
We study enhancement of diffusive mixing on a compact Riemannian manifold by a fast incompressible flow. Our main result is a sharp description of the class of flows that make the…
Decay at infinity of caloric functions within characteristic hyperplanes
L. Escauriaza, C. E. Kenig, G. Ponce +1
It is shown that a function satisfying, , in and in and…
Global well-posedness of the Benjamin-Ono equation in low-regularity spaces
Alexandru Ionescu, Carlos Kenig
We prove that the Benjamin-Ono initial value problem is globally well-posed in the Sobolev spaces , .
Quenching of Reaction by Cellular Flows
A. Fannjiang, A. Kiselev, L. Ryzhik
We consider a reaction-diffusion equation in a cellular flow. We prove that in the strong flow regime there are two possible scenario for the initial data that is compactly support…