Topical Section: Mathematical Analysis in Fluid Dynamics

Fluid dynamics, which is specifically liquids and gases, has a wide range of applications in physics, engineering, meteorology, oceanography and several other fields. Fluid dynamics demands higher mathematics to be fully demonstrated.

We invite submission of original research articles, opinion papers, or review articles that light on the mathematical analysis in fluid dynamics including, but not limit to:
1. Mathematical physics related with fluid flows;
2. The equations of fluid dynamics;
3. Modeling, experimental, and theoretical analysis;
4. Boundary conditions; Interface stability problems, etc.


Instruction for Authors
http://www.aimspress.com/math/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
http://oeps.aimspress.com/aimsmath/ch/author/login.aspx


Published Papers(11)

Review
Nonlinear dynamics of dewetting thin films
Thomas P. Witelski
2020, Volume 5, Issue 5: 4229-4259. doi: 10.3934/math.2020270
Abstract HTML PDF Cited (14) Viewed (6943)
Review
Singularities and regularity of stationary Stokes and Navier-Stokes equations on polygonal domains and their treatments
Yasir Nadeem Anjam
2020, Volume 5, Issue 1: 440-466. doi: 10.3934/math.2020030
Abstract HTML PDF Cited (3) Viewed (5403)
Research article
Possible implications of self-similarity for tornadogenesis and maintenance
Pavel Bělík Brittany Dahl Douglas Dokken Corey K. Potvin Kurt Scholz Mikhail Shvartsman
2018, Volume 3, Issue 3: 365-390. doi: 10.3934/Math.2018.3.365
Abstract HTML PDF Viewed (6062)
Research article
Dynamic boundary conditions in the interface modeling of binary alloys
Igor B. Krasnyuk Roman M. Taranets Marina Chugunova
2018, Volume 3, Issue 3: 409-425. doi: 10.3934/Math.2018.3.409
Abstract HTML PDF Viewed (4968)
Research article
Lp-solutions of the Navier-Stokes equation with fractional Brownian noise
Benedetta Ferrario Christian Olivera
2018, Volume 3, Issue 4: 539-553. doi: 10.3934/Math.2018.4.539
Abstract HTML PDF Cited (5) Viewed (5236)
Research article
Incorporating a tensor in the effective viscosity model of turbulence and the Reynolds stress
Koichi Takahashi
2018, Volume 3, Issue 4: 554-564. doi: 10.3934/Math.2018.4.554
Abstract HTML PDF Cited (1) Viewed (5054)
Research article
A note on the Euler–Voigt system in a 3D bounded domain: Propagation of singularities and absence of the boundary layer
Luigi C. Berselli Davide Catania
2019, Volume 4, Issue 1: 1-11. doi: 10.3934/Math.2019.1.1
Abstract HTML PDF Cited (2) Viewed (5009)
Research article
3D modeling of acoustofluidics in a liquid-filled cavity including streaming, viscous boundary layers, surrounding solids, and a piezoelectric transducer
Nils R. Skov Jacob S. Bach Bjørn G. Winckelmann Henrik Bruus
2019, Volume 4, Issue 1: 99-111. doi: 10.3934/Math.2019.1.99
Abstract HTML PDF Cited (31) Viewed (7837)
Research article
Elementary properties of non-Linear Rossby-Haurwitz planetary waves revisited in terms of the underlying spherical symmetry
Ramses van der Toorn
2019, Volume 4, Issue 2: 279-298. doi: 10.3934/math.2019.2.279
Abstract HTML PDF Cited (2) Viewed (4378)
Research article
The point vortex model for the Euler equation
Carina Geldhauser Marco Romito
2019, Volume 4, Issue 3: 534-575. doi: 10.3934/math.2019.3.534
Abstract HTML PDF Cited (6) Viewed (6215)
Research article
A combined finite volume - finite element scheme for a low-Mach system involving a Joule term
Caterina Calgaro Claire Colin Emmanuel Creusé
2020, Volume 5, Issue 1: 311-331. doi: 10.3934/math.2020021
Abstract HTML PDF Cited (4) Viewed (4419)