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Basil Nicolaenko
Researcher at Arizona State University
Publications - 84
Citations - 3008
Basil Nicolaenko is an academic researcher from Arizona State University. The author has contributed to research in topics: Turbulence & Nonlinear system. The author has an hindex of 28, co-authored 84 publications receiving 2857 citations. Previous affiliations of Basil Nicolaenko include New York University & Boğaziçi University.
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The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
James M. Hyman,Basil Nicolaenko +1 more
TL;DR: In this paper, the authors characterized the transition to chaos of the solutions to the Kuramoto-Sivashinsky equation through extensive numerical simulation, and showed that the attracting solution manifolds undergo a complex bifurcation sequence including multimodal fixed points, invariant tori, traveling wave trains, and homoclinic orbits.
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Traveling Wave Solutions to Combustion Models and Their Singular Limits
TL;DR: In this article, the authors considered the deflagration wave problem for a compressible reacting gas, with species involved in a single step chemical reaction, and proved its existence by first considering the problem in a bounded domain, and taking an infinite domain limit.
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Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces
TL;DR: In this article, a large number of new geometric, ergodic and statistical properties of the Kuramoto-Sivashinsky equation were presented for modeling interfacial turbulence in various physical contexts.
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Global Regularity of 3D Rotating Navier-Stokes Equations for Resonant Domains
TL;DR: In this article, the authors prove existence on infinite time intervals of regular solutions to the 3D rotating Navier-Stokes equations in the limit of strong rotation (large Coriolis parameter Ω).
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Regularity and integrability of 3D Euler and Navier–Stokes equations for rotating fluids
TL;DR: In this article, the authors consider 3D Euler and Navier-Stokes equations describing dynamics of uniformly rotating fluids and show that solutions of these equations can be decomposed as U(t, x1, x2, x3) + r, where r is a solution of the 2D NN system with vertically averaged initial data (axis of rotation is taken along the vertical e3).