257 citations · 1.2k across the 45 of their papers we have counts for
23 papers · 1 filter
On a Class of Global Solutions to 3D Free-Boundary Relativistic Euler Equations with a Physical Vacuum Boundary
Marcelo M. Disconzi, Zhongtian Hu, Chenyun Luo
We consider the free-boundary relativistic Euler equations in Minkowski spacetime equipped with a physical vacuum boundary, which models the motion of a relativi…
Strongly hyperbolic quasilinear systems revisited, with applications to relativistic fluid dynamics
Marcelo M. Disconzi, Yuanzhen Shao
We revisit the theory of first-order quasilinear systems with diagonalizable principal part and only real eigenvalues, what is commonly referred to as strongly hyperbolic systems.…
Recent developments in mathematical aspects of relativistic fluids
Marcelo M. Disconzi
We review some recent developments in mathematical aspects of relativistic fluids. The goal is to provide a quick entry point to some research topics of current interest that is ac…
Local well-posedness and singularity formation in non-Newtonian compressible fluids
Ariel Lerman, Marcelo M. Disconzi, Jorge Noronha
We investigate the initial value problem of a very general class of non-Newtonian compressible fluids in which the viscous stress tensor with shear and bulk viscosity relaxes…
Local well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics
Fabio S. Bemfica, Marcelo M. Disconzi, P. Jameson Graber
We study the theory of relativistic viscous hydrodynamics introduced in arXiv:1109.0985 and arXiv:1907.12695, which provided a causal and stable first-order theory of relativistic…
Breakdown of smooth solutions to the Müller-Israel-Stewart equations of relativistic viscous fluids
Marcelo M. Disconzi, Vu Hoang, Maria Radosz
We consider equations of Müller-Israel-Stewart type describing a relativistic viscous fluid with bulk viscosity in four-dimensional Minkowski space. We show that there exists a cla…
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…
Local well-posedness in Sobolev spaces for first-order conformal causal relativistic viscous hydrodynamics
Fabio S. Bemfica, Marcelo M. Disconzi, Casey Rodriguez +1
In this manuscript, we study the theory of conformal relativistic viscous hydrodynamics introduced in arXiv:1708.06255, which provided a causal and stable first-order theory of rel…
A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Euler Equation with Surface Tension
Marcelo M. Disconzi, Igor Kukavica, Amjad Tuffaha
We consider the three-dimensional incompressible free-boundary Euler equations in a bounded domain and with surface tension. Using Lagrangian coordinates, we establish a priori est…
Rough sound waves in compressible Euler flow with vorticity
Marcelo M. Disconzi, Chenyun Luo, Giusy Mazzone +1
We prove a series of results tied to the regularity and geometry of solutions to the compressible Euler equations with vorticity and entropy. Our framework exploits and reveal…
On the Incompressible Limit for the Compressible Free-Boundary Euler Equations with Surface Tension in the Case of a Liquid
Marcelo M. Disconzi, Chenyun Luo
In this paper we establish the incompressible limit for the compressible free-boundary Euler equations with surface tension in the case of a liquid. Compared to the case without su…
The relativistic Euler equations: Remarkable null structures and regularity properties
Marcelo M. Disconzi, Jared Speck
We derive a new formulation of the relativistic Euler equations that exhibits remarkable properties. This new formulation consists of a coupled system of geometric wave, transport,…
On the existence of solutions and causality for relativistic viscous conformal fluids
Marcelo M. Disconzi
We consider a stress-energy tensor describing a pure radiation viscous fluid with conformal symmetry introduced in arXiv:1708.06255. We show that the corresponding equations of mot…
A priori estimates for the 3D compressible free-boundary Euler equations with surface tension in the case of a liquid
Marcelo M. Disconzi, Igor Kukavica
We derive a priori estimates for the compressible free-boundary Euler equations with surface tension in three spatial dimensions in the case of a liquid. These are estimates for lo…
A priori estimates for the free-boundary Euler equations with surface tension in three dimensions
Marcelo M. Disconzi, Igor Kukavica
We derive a priori estimates for the incompressible free-boundary Euler equations with surface tension in three spatial dimensions. Working in Lagrangian coordinates, we provide a…
The formulation of the Navier-Stokes equations on Riemannian manifolds
Chi Hin Chan, Magdalena Czubak, Marcelo M. Disconzi
We consider the generalization of the Navier-Stokes equations from to the Riemannian manifolds. There are inequivalent formulations of the Navier-Stokes equations on…
The free boundary Euler equations with large surface tension
Marcelo M. Disconzi, David G. Ebin
We study the free boundary Euler equations with surface tension in three spatial dimensions, showing that the equations are well-posed if the coefficient of surface tension is posi…
On a linear problem arising in dynamic boundaries
Marcelo M. Disconzi
We study a linear problem that arises in the study of dynamic boundaries, in particular in free boundary problems in connection with fluid dynamics. The equations are also very nat…
Motion of slightly compressible fluids in a bounded domain. II
Marcelo M. Disconzi, David G. Ebin
We study the problem of inviscid slightly compressible fluids in a bounded domain. We find a unique solution to the initial-boundary value problem and show that it is near the anal…
On the Choquet-Bruhat-York-Friedrich formulation of the Einstein-Euler equations
Marcelo M. Disconzi, Vamsi P. Pingali
Short-time existence for the Einstein-Euler and the vacuum Einstein equations is proven using a Friedrich inspired formulation due to Choquet-Bruhat and York, where the system is c…
Some a priori estimates for a critical Schrodinger-Newton equation
Marcelo M. Disconzi
Under natural energy and decay assumptions, we derive a priori estimates for solutions of a Schrodinger-Newton type of equation with critical exponent. On one hand, such an equatio…
Remarks on the Einstein-Euler-Entropy system
Marcelo M. Disconzi
We prove short-time existence for the Einstein-Euler-Entropy system for non-isentropic fluids with data in uniformly local Sobolev spaces. The cases of compact as well as non-compa…
On the limit of large surface tension for a fluid motion with free boundary
Marcelo M. Disconzi, David G. Ebin
We study the free boundary Euler equations in two spatial dimensions. We prove that if the boundary is sufficiently regular, then solutions of the free boundary fluid motion conver…