Zobrazeno 1 - 10
of 423
pro vyhledávání: '"KNOBLOCH, EDGAR"'
Convection is a ubiquitous process driving geophysical/astrophysical fluid flows, which are typically strongly constrained by planetary rotation on large scales. A celebrated model of such flows, rapidly rotating Rayleigh-B\'enard convection, has bee
Externí odkaz:
http://arxiv.org/abs/2410.02702
Geophysical and astrophysical fluid flows are typically buoyantly driven and are strongly constrained by planetary rotation at large scales. Rapidly rotating Rayleigh-B\'enard convection (RRRBC) provides a paradigm for direct numerical simulations (D
Externí odkaz:
http://arxiv.org/abs/2409.08536
Numerical continuation is used to compute solution branches in a two-component reaction-diffusion model of Leslie--Gower type. %in the vicinity of a Turing-Hopf interaction. Two regimes are studied in detail. In the first, the homogeneous state loses
Externí odkaz:
http://arxiv.org/abs/2403.15788
Autor:
Knobloch, Edgar, Yochelis, Arik
Publikováno v:
Chaos 34, 051103 (2024)
Rogue waves are an intriguing nonlinear phenomenon arising across different scales, ranging from ocean waves through optics to Bose-Einstein condensates. We describe the emergence of rogue-like wave dynamics in a reaction-diffusion system that arise
Externí odkaz:
http://arxiv.org/abs/2402.18349
This work studies two-dimensional fixed-flux Rayleigh-B\'enard convection with periodic boundary conditions in both horizontal and vertical directions and analyzes its dynamics using numerical continuation, secondary instability analysis and direct n
Externí odkaz:
http://arxiv.org/abs/2312.06030
This work analyzes bifurcation delay and front propagation in the one-dimensional real Ginzburg-Landau equation (RGLE) with periodic boundary conditions on monotonically growing or shrinking domains. First, we obtain closed-form expressions for the d
Externí odkaz:
http://arxiv.org/abs/2311.16363
Two-dimensional (2D) turbulence features an inverse energy cascade that produces large-scale flow structures such as large-scale vortices (LSVs) and unidirectional jets. We investigate the dynamics of such structures using extensive direct numerical
Externí odkaz:
http://arxiv.org/abs/2311.07863
Suppression of wall modes in rapidly rotating Rayleigh-B\'enard convection by narrow horizontal fins
The heat transport by rapidly-rotating Rayleigh-B\'enard convection is of fundamental importance to many geophysical flows. Laboratory measurements are impeded by robust wall modes which develop along vertical walls, significantly perturbing the heat
Externí odkaz:
http://arxiv.org/abs/2304.01136
Autor:
Knobloch, Edgar, Yochelis, Arik
Publikováno v:
Chaos 33, 053115 (2023)
We study the existence and stability of propagating fronts in Meinhardt's multivariable reaction-diffusion model of branching in one spatial dimension. We identify a saddle-node-infinite-period (SNIPER) bifurcation of fronts that leads to episodic fr
Externí odkaz:
http://arxiv.org/abs/2303.07788