Proves rotation-dependent lower bound on lifespan of 3D compressible Euler-Coriolis solutions plus dispersive decay estimates, improving incompressible limits.
Global solutions to the Euler-Coriolis system
4 Pith papers cite this work. Polarity classification is still indexing.
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Small weighted initial data for the 3D Zakharov-Kuznetsov equation produce global solutions that scatter in H^1.
Proves W^{1,∞} stability for 1D hyperbolic conservation laws with inflow data and W^{2,3+} stability for a large class of shear flows in the 3D Euler system with inflow BC in pipes.
Initial data close to large quasi-periodic traveling waves in the β-plane equation remain close for arbitrary long times independent of wave size, yielding almost global existence for open sets of large initial data.
citing papers explorer
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Increased lifespan for 3D compressible Euler flows with rotation
Proves rotation-dependent lower bound on lifespan of 3D compressible Euler-Coriolis solutions plus dispersive decay estimates, improving incompressible limits.
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Scattering of the 3D Zakharov-Kuznetsov equation
Small weighted initial data for the 3D Zakharov-Kuznetsov equation produce global solutions that scatter in H^1.
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Stability of Inflow Problem for Hyperbolic Systems
Proves W^{1,∞} stability for 1D hyperbolic conservation laws with inflow data and W^{2,3+} stability for a large class of shear flows in the 3D Euler system with inflow BC in pipes.
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Long time dynamics close to large amplitude quasi-periodic traveling waves in two dimensional forced rotating fluids
Initial data close to large quasi-periodic traveling waves in the β-plane equation remain close for arbitrary long times independent of wave size, yielding almost global existence for open sets of large initial data.