Search Results - "Novotny, Antonin"
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Navier–Stokes–Fourier System with General Boundary Conditions
Published in Communications in mathematical physics (01-09-2021)“…We consider the Navier–Stokes–Fourier system in a bounded domain Ω ⊂ R d , d = 2 , 3 , with physically realistic in/out flow boundary conditions. We develop a…”
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Weak solutions for a bi-fluid model for a mixture of two compressible non interacting fluids
Published in Science China. Mathematics (01-12-2020)“…We investigate a version of one velocity Baer-Nunziato model with dissipation for the mixture of two compressible fluids with the goal to prove for it the…”
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Weak–Strong Uniqueness Property for the Full Navier–Stokes–Fourier System
Published in Archive for rational mechanics and analysis (01-05-2012)“…The Navier–Stokes–Fourier system describing the motion of a compressible, viscous and heat conducting fluid is known to possess global-in-time weak solutions…”
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Weak Solutions for Some Compressible Multicomponent Fluid Models
Published in Archive for rational mechanics and analysis (2020)“…The principle purpose of this work is to investigate a “viscous” version of a “simple” but still realistic bi-fluid model described in Bresch et al. (in: Giga…”
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Relative Entropies, Suitable Weak Solutions, and Weak-Strong Uniqueness for the Compressible Navier–Stokes System
Published in Journal of mathematical fluid mechanics (01-12-2012)“…We introduce the notion of relative entropy for the weak solutions to the compressible Navier–Stokes system. In particular, we show that any finite energy weak…”
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Inviscid Incompressible Limits of the Full Navier-Stokes-Fourier System
Published in Communications in mathematical physics (01-08-2013)“…We consider the full Navier-Stokes-Fourier system in the singular limit for the small Mach and large Reynolds and Péclet numbers, with ill prepared initial…”
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Construction of weak solutions to compressible Navier–Stokes equations with general inflow/outflow boundary conditions via a numerical approximation
Published in Numerische Mathematik (01-12-2021)“…The construction of weak solutions to compressible Navier–Stokes equations via a numerical method (including a rigorous proof of the convergence) is in a short…”
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Implicit MAC scheme for compressible Navier–Stokes equations: low Mach asymptotic error estimates
Published in IMA journal of numerical analysis (01-01-2021)“…Abstract We investigate the error between any discrete solution of the implicit marker-and-cell (MAC) numerical scheme for compressible Navier–Stokes equations…”
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Consistency, convergence and error estimates for a mixed finite element–finite volume scheme to compressible Navier–Stokes equations with general inflow/outflow boundary data
Published in IMA journal of numerical analysis (01-01-2022)“…Abstract We study convergence of a mixed finite element-finite volume scheme for the compressible Navier–Stokes equations in the isentropic regime under the…”
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Compressible Navier–Stokes system with the hard sphere pressure law in an exterior domain
Published in Zeitschrift für angewandte Mathematik und Physik (01-10-2022)“…We consider the motion of compressible Navier–Stokes fluids with the hard sphere pressure law around a rigid obstacle when the velocity and the density at…”
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On the Long-Time Behavior of Dissipative Solutions to Models of Non-Newtonian Compressible Fluids
Published in Archive for rational mechanics and analysis (01-07-2021)“…We identify a class maximal dissipative solutions to models of compressible viscous fluids that maximize the energy dissipation rate. Then we show that any…”
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Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions
Published in Communications in partial differential equations (05-09-2020)“…We consider the barotropic Navier-Stokes system describing the motion of a viscous compressible fluid interacting with the outer world through general in/out…”
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Continuity equation and vacuum regions in compressible flows
Published in Journal of evolution equations (01-09-2021)“…We investigate the creation and properties of eventual vacuum regions in the weak solutions of the continuity equation, in general, and in the weak solutions…”
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Qualitative Research on PESCO Projects Direction in the Field of CBRN
Published in Vojenské rozhledy (30-11-2021)“…Chemical, Biological, Radiological and Nuclear (CBRN) weapons still represent a relevant threat despite international treaties and regulations. International…”
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A convergent numerical method for the Navier–Stokes–Fourier system
Published in IMA journal of numerical analysis (01-10-2016)Get full text
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Multiple Scales and Singular Limits for Compressible Rotating Fluids with General Initial Data
Published in Communications in partial differential equations (03-06-2014)“…We study the singular limit of a rotating compressible fluid described by a scaled barotropic Navier-Stokes system, where the Rossby number = ϵ, the Mach…”
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No longer in the shadow: The Rise of Czech-German Defence Cooperation
Published in Obrana a strategie (01-01-2023)“…The article explores the driving forces behind the increase in Czech-German defence cooperation since the mid-2010s. We argue that the growth is due to several…”
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Dimension Reduction for Compressible Viscous Fluids
Published in Acta applicandae mathematicae (01-12-2014)“…We consider the barotropic Navier-Stokes system describing the motion of a compressible viscous fluid confined to a cavity shaped as a thin rod Ω ε = εQ…”
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Unconditional convergence and error estimates for bounded numerical solutions of the barotropic Navier–Stokes system
Published in Numerical methods for partial differential equations (01-07-2017)“…We consider a mixed finite‐volume finite‐element method applied to the Navier–Stokes system of equations describing the motion of a compressible, barotropic,…”
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Existence of weak solutions for compressible Navier–Stokes equations with entropy transport
Published in Journal of Differential Equations (15-10-2016)“…We consider the compressible Navier–Stokes system with variable entropy. The pressure is a nonlinear function of the density and the entropy/potential…”
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