25 citations · 93 across the 34 of their papers we have counts for
4 papers · 2 filters
Two dimensional gravity waves at low regularity II: Global solutions
Albert Ai, Mihaela Ifrim, Daniel Tataru
This article represents the second installment of a series of papers concerned with low regularity solutions for the water wave equations in two space dimensions. Our focus here is…
Local well-posedness for quasilinear problems: a primer
Mihaela Ifrim, Daniel Tataru
Proving local well-posedness for quasilinear problems in pde's presents a number of difficulties, some of which are universal and others of which are more problem specific. While a…
The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion
Marcelo M. Disconzi, Mihaela Ifrim, Daniel Tataru
In this paper we provide a complete local well-posedness theory for the free boundary relativistic Euler equations with a physical vacuum boundary on a Minkowski background. Specif…
The compressible Euler equations in a physical vacuum: a comprehensive Eulerian approach
Mihaela Ifrim, Daniel Tataru
This article is concerned with the local well-posedness problem for the compressible Euler equations in gas dynamics. For this system we consider the free boundary problem which co…