3 papers
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…
math.NA2019
On the convergence of the spectral viscosity method for the two-dimensional incompressible Euler equations with rough initial data
Samuel Lanthaler, Siddhartha Mishra
We propose a spectral viscosity method to approximate the two-dimensional Euler equations with rough initial data and prove that the method converges to a weak solution for a large…