The compressible Navier-Stokes and magnetohydrodynamic (MHD) equations form the cornerstone of fluid dynamics when accounting for both variable density and the influence of magnetic fields. The ...
The stability analysis of compressible Navier-Stokes equations is vital for understanding the behaviour of viscous, compressible flows in various physical settings. Research in this area investigates ...
Although Navier–Stokes equations are the foundation of modern hydrodynamics, adapting them to quantum systems has so far been a major challenge. Researchers from the Faculty of Physics at the ...
A million dollars in cash (£640,000) awaits anyone who can develop a rigorous mathematical model for how fluids flow – this week's Millennium Prize Problem. Fluids are extremely difficult to analyse ...
How fluids move has fascinated researchers since the birth of science. tonyhall MILLENNIUM PRIZE SERIES: The Millennium Prize Problems are seven mathematics problems laid out by the Clay Mathematics ...
In math and computer science, researchers have long understood that some questions are fundamentally unanswerable. Now physicists are exploring how even ordinary physical systems put hard limits on ...
Two mathematicians prove that under certain extreme conditions, the Navier-Stokes equations output nonsense. The Navier-Stokes equations capture in a few succinct terms one of the most ubiquitous ...
Whether we are designing aircraft, modelling blood flow, studying propulsion, lubrication or the dynamics of swimming, constructing wind turbines or forecasting the weather, we need to use the ...
The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or mathematician to tell you about fascinating ideas from their corner of the ...
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