715 citations
- California Institute of TechnologyUS10 papers
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- Argonne National LaboratoryUS6 papers
- Fermi National Accelerator LaboratoryUS6 papers
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- The University of TokyoJP6 papers
- Tokyo Medical and Dental UniversityJP6 papers
12 papers · 1 filter
Global Regularity of the 4D Restricted Euler Equations
Hailiang Liu, Eitan Tadmor, Dongming Wei
We are concerned with the critical threshold phenomena in the Restricted Euler (RE) equations. Using the spectral and trace dynamics we identify the critical thresholds for 3D and…
Blow up and regularity for fractal Burgers equation
Alexander Kiselev, Fedor Nazarov, Roman Shterenberg
The paper is a comprehensive study of the existence, uniqueness, blow up and regularity properties of solutions of the Burgers equation with fractional dissipation. We prove existe…
Vector-valued Riesz potentials: Cartan type estimates and related capacities
V. Eiderman, F. Nazarov, A. Volberg
There are many interesting problems about the electrostatic potential of finitely many charges. We consider one of them concerning the intensity of the field, in other words, about…
Liouville energy on a topological two sphere
XiuXiong Chen, Meijun Zhu
In this paper we shall give an analytic proof of the fact that the Liouville energy on a topological two sphere is bounded from below. Our proof does not rely on the uniformization…
Global Solutions of Shock Reflection by Large-Angle Wedges for Potential Flow
Gui-Qiang Chen, Mikhail Feldman
When a plane shock hits a wedge head on, it experiences a reflection-diffraction process and then a self-similar reflected shock moves outward as the original shock moves forward i…
Relaxation Enhancement by Time-Periodic Flows
Alexander Kiselev, Roman Shterenberg, Andrej Zlatos
We study enhancement of diffusive mixing by fast incompressible time-periodic flows. The class of relaxation-enhancing flows that are especially efficient in speeding up mixing has…