#appliedmathematics — Public Fediverse posts

V. Ocqueteau (University of Bordeaux) and his supervisor M. Tucsnak have a new publication in the Journal of Mathematical Fluid Mechanics:

They study the small vertical motion of a floating cylinder. Coupling the water wave equations with the body's equation of motion, they prove the well-posedness of the system by analyzing a Dirichlet-to-Neumann map.

https://link.springer.com/article/10.1007/s00021-026-01047-0

https://arxiv.org/abs/2504.20523

#AppliedMathematics #FluidMechanics #MathematicalPhysics #WellPosedness

#MSCA #EUhorizon

My #introduction keywords: #academic #modelling #evolution #cooperation #gameTheory #ecology #appliedMathematics

I'm a #postdoc specialising in evolutionary and ecological modelling, currently at #QUT and #GriffithUni in #Australia

Previous work: #evolutionOfCooperation, estimating undetected #extinctions, #qualitativemodelling, migratory #phenology, #foodweb #modelling, local #adaptation, #carryover effects, #dispersal.

My blog: https://nadiah.org/

Following on from yesterday’s posting of flow around a #ZhukovskyAerofoil, I’ve added #equipotential lines (blue) in addition to #streamlines (black). The two families are #contours of the #real and #imaginary parts of an #AnalyticFunction and therefore have the property of intersecting #orthogonally. The plots aren’t ideal as there are some anomalous features where the equipotential lines are very close to the #aerofoil.

#MyWork #CCBYSA #AppliedMathematics #Aeronautics #Aerodynamics

Using the mapping w → z+1/z, you get something that looks remarkably like an #aerofoil.

It is a #ConformalMapping meaning that angles are preserved during the mapping. In this animation, I’ve varied the imaginary part of the the eccentricity, while keeping the real part the same. With a zero #AngleOfAttack, you can see the change in the airflow around the #wing as its shape changes.

#MyWork #CCBYSA #AppliedMathematics #WxMaxima #FreeSoftware #Aeronautics #Aerodynamics #LaminarFlow

The #Zhukovsky #Aerofoil (sometimes transliterated as #Joukowsky from #Russian), is a 2D model of #streamlined #Airflow past a #wing. It uses #ComplexVariable and is an #AnalyticFunction (i.e. #Differentiable everywhere, save at isolated #Singularities). Take a circle in the #ComplexPlane which is not quite centred at the #origin but passes through the #coordinate (1,0) or (z=1+0i).

#MyWork #CCBYSA #AppliedMathematics #WxMaxima #FreeSoftware #Aeronautics #Aerodynamics #LaminarFlow

Looking for a #PhDstudentPosition in #ElectricalEngineering / #AppliedMathematics in a friendly #international environment?

Check out https://modconflex.uni-wuppertal.de #EUhorizon project.

#modeling, #stabilityanalysis and #control of electric power grids, #controltheory,