3 papers
math.NA2020
Well-balanced high-order finite difference methods for systems of balance laws
Carlos Parés, Carlos Parés-Pulido
In this paper, high order well-balanced finite difference weighted essentially non-oscillatory methods to solve general systems of balance laws are presented. Two different familie…
math.AP2020
On the conservation of energy in two-dimensional incompressible flows
S. Lanthaler, S. Mishra, C. Parés-Pulido
We prove the conservation of energy for weak and statistical solutions of the two-dimensional Euler equations, generated as strong (in an appropriate topology) limits of the underl…
math.NA2019
Statistical solutions of the incompressible Euler equations
Samuel Lanthaler, Siddhartha Mishra, Carlos Parés-Pulido
We propose and study the framework of dissipative statistical solutions for the incompressible Euler equations. Statistical solutions are time-parameterized probability measures on…