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Computers and Fluids, ISSN 0045-7930, 07/2018, Volume 171, pp. 94 - 102
•Simulation of fluid flows is performed using the fully implicit two level scheme.•Numerical implementation is based on Newton’s method.•Increasing of the time... 
Finite element method | Conservation laws | The Euler system | Two–level schemes | Decoupling scheme | Compressible fluids | Barotropic fluid | VISCOSITY METHOD | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Two-level schemes | HYPERBOLIC SYSTEMS | Environmental law | Analysis
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 03/2017, Volume 473, Issue 2199, p. 20160345
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2019, Volume 473, Issue 2, pp. 934 - 951
We study the Lagrangian structure for weak solutions of two dimensional Navier–Stokes equations for a non-barotropic compressible fluid, i.e. we show the... 
Lagrangian structure | Non-barotropic | Compressible fluid | Log-Lipschitzian vector fields | MATHEMATICS | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | FLOWS
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 2004, Volume 201, Issue 1, pp. 80 - 108
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 06/2016, Volume 39, Issue 9, pp. 2202 - 2219
Journal Article
Geophysical & Astrophysical Fluid Dynamics, ISSN 0309-1929, 11/2014, Volume 108, Issue 6, pp. 667 - 685
Barotropic fluid flows with the same circulation structure as steady flows generically have comoving physical surfaces on which the vortex lines lie. These... 
Fluid dynamics | Variational principles | VORTEX LINES | GEOCHEMISTRY & GEOPHYSICS | MECHANICS | HELICITY | IDEAL FLUID | STABILITY | ASTRONOMY & ASTROPHYSICS | FLOWS | ENERGY PRINCIPLES | Mathematical analysis | Vortices | Fluid flow | Barotropic flow | Topology | Formalism
Journal Article
Ocean Engineering, ISSN 0029-8018, 11/2017, Volume 145, pp. 290 - 303
The stratification of fluid caused by the change of water densities can generate two water waves on each fluid boundary. One is the surface wave on the free... 
Time domain | Baroclinic mode | Numerical wave tank | Oscillating body | Two-layer fluid | Barotropic mode | CHINA SEAS | FINITE DEPTH | POROUS STRUCTURES | ENGINEERING, CIVIL | ENGINEERING, MARINE | ENGINEERING, OCEAN | OCEANOGRAPHY | Specific gravity | Dynamic meteorology | Analysis | Internal waves
Journal Article
Ocean Dynamics, ISSN 1616-7341, 6/2018, Volume 68, Issue 6, pp. 723 - 733
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 10/2018, Volume 41, Issue 15, pp. 5869 - 5905
Viscous compressible barotropic motions (described by v‐velocity and ϱ‐density) in a bounded domain Ω⊂R3 with v=0 on the boundary are considered. Assuming... 
stability of spherically symmetric solutions | compressible viscous barotropic fluids | Dirichlet boundary conditions | global existence of regular solutions | EXISTENCE | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | BOUNDARY-VALUE-PROBLEMS | GAS | SYMMETRIC-SOLUTIONS | Norms | Compressibility | Density | Viscous fluids | Motion stability
Journal Article
Physics of Fluids, ISSN 1070-6631, 12/2012, Volume 24, Issue 12, p. 126601
The development of zonal flows on a midlatitude beta-plane subject to a time-varying topographic forcing is investigated in a series of numerical integrations... 
BREAKING | WAVES | TRANSPORT | MECHANICS | PHYSICS, FLUIDS & PLASMAS | BETA-PLANE TURBULENCE | BAROTROPIC MODEL | FLOWS | STRATOSPHERE | SPECTRA | Fluids | Turbulence | Turbulent flow | Computational fluid dynamics | Mathematical analysis | Vorticity | Fluid flow | Mechanics | Mechanics of the fluids | Mathematical Physics | Physics
Journal Article
Bulletin of the Brazilian Mathematical Society, New Series, ISSN 1678-7544, 6/2016, Volume 47, Issue 2, pp. 715 - 726
We study a possibilityof existence of localized two-dimensional structures, both smooth and non-smooth, that can move without significant change of their shape... 
steady state | compressible fluid | Secondary | barotropic fluid | 76N15 | Theoretical, Mathematical and Computational Physics | frozen structure | Primary | Mathematics, general | Mathematics | 76U05 | 35L65 | MATHEMATICS | BV VECTOR-FIELDS | TRANSPORT-EQUATION | MODEL | VORTEX | 2 DIMENSIONS | UNIQUENESS
Journal Article
Physics of Fluids, ISSN 1070-6631, 2010, Volume 22, Issue 9, pp. 094104 - 1/12
The instability properties of isolated monopolar vortices have been investigated experimentally and the corresponding multipolar quasisteady states have been... 
GEOSTROPHIC VORTICES | CIRCULAR VORTICES | INSTABILITY | PHYSICS, FLUIDS & PLASMAS | TRIPOLAR VORTEX | flow visualisation | BAROTROPIC VORTICES | MECHANICS | EVOLUTION | MOTION | STRATIFIED FLUID | fluid oscillations | flow instability | DYNAMICS | vortices | 2-DIMENSIONAL INCOMPRESSIBLE FLOWS
Journal Article
Journal of Mathematical Sciences, ISSN 1072-3374, 7/2013, Volume 192, Issue 4, pp. 389 - 416
This paper deals the problem of small motions and eigenoscillations of the hydrodynamical system” ideal fluid–barotropic gas” with regard for gravitational and... 
barotropic gas | ideal capillary fluid | eigenoscillations | Mathematics, general | Mathematics | surface tension | stability | strong solution | Small motions | hydrosystem | spectral problem
Journal Article