Applied Mathematics in Fluid Mechanics and Flows

Dear Colleagues,

This Special Issue welcomes high-quality original research and comprehensive reviews focused on the fundamental physics and governing mechanisms underlying fluid dynamic processes across disciplines and scales. Particular emphasis is placed on studies that deepen our understanding of fluid behavior through theoretical, numerical, experimental, or hybrid approaches.

Topics of interest include, but are not limited to, the following: analytical and approximate solutions of the Navier–Stokes and Euler equations; rotating hydromagnetic plasma flows; hypersonic stagnation flows; geophysical and astrophysical rotating flows; thermophoretic transport phenomena; pulsatile biofluid dynamics; magnetic squeeze film lubrication; flows through porous media; Casson fluid and radiative convective flows.

In addition, this Special Issue seeks contributions in micro- and nanofluidics, including capillarity, slip-flow regimes, and lab-on-chip devices, as well as advanced topics in lubrication theory with relevance to mechanical and biomedical systems.

Emerging and interdisciplinary themes are strongly encouraged, including fluid–structure interaction (FSI), fluid–plant interaction in environmental systems, ocean–atmosphere coupling in climate dynamics, and reactive flows in catalytic, electrochemical, or biological domains. Studies involving meteorological modeling and oceanographic circulations using large-eddy simulations, turbulence-resolving schemes, or multiscale modeling are highly relevant.

Moreover, the Special Issue is open to works on dimensional analysis and similarity theory in fluid mechanics, with applications ranging from aerodynamics to biomechanics. Research on laminar–turbulent transition, flow control, and energy-efficient transport mechanisms is also welcome.

Papers employing modern computational strategies such as reduced-order modeling, physics-informed neural networks (PINNs), deep learning, and hybrid numerical–data-driven frameworks for simulating complex fluid systems are particularly appreciated.

Through this collection, we aim to promote interdisciplinary discussion and innovation in the modeling, analysis, and simulation of fluid flows relevant to natural phenomena, industrial technologies, and future scientific challenges.

Keywords: fluid–structure interaction (FSI), micro- and nanofluidics, thermal radiation and convection, porous media flows, plasma and magnetohydrodynamics (MHD), Navier–Stokes equations, computational fluid dynamics (CFD), physics-informed neural networks (PINNs), geophysical and environmental fluid dynamics

Prof. Dr. Joaquín Zueco
Dr. Joaquín Solano
Guest Editors

Manuscript Submission Information

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• Navier–Stokes equations
• Euler equations
• rotating flows
• magnetohydrodynamics (MHD)
• thermophoretic transport
• hypersonic flows
• pulsatile flow dynamics
• thermal radiation effects
• advection–diffusion processes
• geophysical fluid dynamics
• ocean–atmosphere interaction
• meteorological fluid flows
• biofluid mechanics
• micro- and nanofluidics
• lubrication theory
• porous media flows
• plant–fluid interaction
• magnetic squeeze film lubrication
• computational fluid dynamics (CFD)
• deep learning in fluid mechanics
• physics-informed neural networks (PINNs)
• nondimensional analysis
• reduced-order modeling
• high-fidelity simulations
• stability and bifurcation analysis