7 papers
Quantum algorithms for Young measures: applications to nonlinear partial differential equations
Shi Jin, Nana Liu, Maria Lukacova-Medvidova +1
Many nonlinear PDEs have singular or oscillatory solutions or may exhibit physical instabilities or uncertainties. This requires a suitable concept of physically relevant generaliz…
Temperature-driven turbulence in compressible fluid flows
Eduard Feireisl, Maria Lukacova-Medvidova, Bangwei She +1
We study the long-time behaviour of the temperature-driven compressible flows. We show that numerical solutions of a structure-preserving finite volume method generate a discrete a…
Convergence of a finite volume method to weak solutions for the compressible Navier-Stokes-Fourier system
Eduard Feireisl, Maria Lukacova-Medvidova, Bangwei She +1
We prove strong convergence of an upwind-type finite volume method to a weak solution of the Navier-Stokes-Fourier system with the Dirichlet boundary conditions. The limit solution…
Convergence analysis for a finite volume evolution Galerkin method for multidimensional hyperbolic systems
Mária LukáÄová-Medvidová, Zhuyan Tang, Yuhuan Yuan
We study the convergence of a finite volume method based on the method of bicharacteristics for multidimensional hyperbolic conservation laws. In particular, we concentrate on the…
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics
Eduard Feireisl, Maria Lukacova-Medvidova, Bangwei She +1
We study random compressible viscous magnetohydrodynamic flows. Combining the Monte Carlo method with a deterministic finite volume method we solve the random system numerically. Q…
Convergence and error estimates of a penalization finite volume method for the compressible Navier-Stokes system
Mária LukáÄová-Medvid'ová, Bangwei She, Yuhuan Yuan
In numerical simulations a smooth domain occupied by a fluid has to be approximated by a computational domain that typically does not coincide with a physical domain. Consequently,…