#appliedmathematics — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #appliedmathematics, aggregated by home.social.
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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
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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
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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
-
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
-
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
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We’re having a #Soliton sale over here! Get yours quick! Seriously, though, this is a quick #animation of the #SolitonInteraction surface – the solution of the #Korteweg-deVries #Eauation showing (x,t,u(x,t)) giving you an all-round view.
#MyWork #CCBYSA #AppliedMathematics #Mathematic #Phyiscs #KdV #KdVEquation #FreeSoftware #WxMaxima
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I posted on #Soliton interactions in the #Korteweg-deVries #Equation yesterday with an #Animation of how two #SolitaryWaves interact. The #PhaseShift experienced by both can also be seen in a static #3D plot with time, t, plotted on one axis. You should be able to see a “dog-leg” in the trajectory of each wave after it interacts with the other.
#MyWork #CCBYSA #Mathematics #AppliedMathematics #Physics #FreeSoftware #WxMaxima
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When you start looking at #NonlinearWaves, some of these principles no longer apply. For example, in the Korteweg-de Vries equation, which has #Soliton or solutions, you can no longer simply add two solutions together as the resulting function would not be a solution of the governing equation. Waves of different heights travel at different velocities, with the taller waves moving faster than the shorter ones. Instead, they interact #nonlinearly.
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