257 citations · 1.2k across the 45 of their papers we have counts for
46 papers
Nonlinear Causality and Strong Hyperbolicity of Einstein-Israel-Stewart Theories of Transient Relativistic Fluid Dynamics
Ian Cordeiro, Enrico Speranza, Fábio S. Bemfica +2
We present the first complete analysis of nonlinear causality and local well-posedness for a very general class of bulk and shear viscous theories of relativistic transient fluid d…
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…
Initial Data for First-order Causal Viscous Conformal Fluids in General Relativity
Marcelo M. Disconzi, James Isenberg, David Maxwell
We solve the Einstein constraint equations for a first-order causal viscous relativistic hydrodynamic theory in the case of a conformal fluid. For such a theory, a direct applicati…
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…
Dispersion relations alone cannot guarantee causality
Lorenzo Gavassino, Marcelo M. Disconzi, Jorge Noronha
We show that linear superpositions of plane waves involving a single-valued, covariantly stable dispersion relation always propagate outside the lightcone, unless $ω(k) =a+b…
Universality Classes of Relativistic Fluid Dynamics: Applications
L. Gavassino, M. M. Disconzi, J. Noronha
Using a formalism that was recently developed in a companion paper, we rigorously prove the equivalence, in the linear regime, of a number of apparently different relativistic hydr…
Universality Classes of Relativistic Fluid Dynamics: Foundations
Lorenzo Gavassino, Marcelo M. Disconzi, Jorge Noronha
A general organizing principle is proposed that can be used to derive the equations of motion describing the near-equilibrium dynamics of causal and thermodynamically stable relati…
Cosmological consequences of first-order general-relativistic viscous fluid dynamics
Fábio S. Bemfica, Marcelo M. Disconzi, Jorge Noronha +1
We investigate the out-of-equilibrium dynamics of viscous fluids in a spatially flat Friedmann-Lemaître-Robertson-Walker cosmology using the most general causal and stable viscous…
Subluminality of relativistic quantum tunneling
Lorenzo Gavassino, Marcelo M. Disconzi
We prove that the classical Dirac equation in the presence of an external (nondynamical) electromagnetic field is a relativistically causal theory. As a corollary, we show that it…
Challenges in Solving Chiral Hydrodynamics
Enrico Speranza, Fabio S. Bemfica, Marcelo M. Disconzi +1
We prove that ideal chiral hydrodynamics, as derived from chiral kinetic theory, is acausal and its initial-value problem is ill-posed both in the linearized case around a local eq…
First-Order General-Relativistic Viscous Fluid Dynamics
Fabio S. Bemfica, Marcelo M. Disconzi, Jorge Noronha
We present the first generalization of Navier-Stokes theory to relativity that satisfies all of the following properties: (a) the system coupled to Einstein's equations is causal a…
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…
Nonlinear Constraints on Relativistic Fluids Far From Equilibrium
Fabio S. Bemfica, Marcelo M. Disconzi, Vu Hoang +2
New constraints are found that must necessarily hold for Israel-Stewart-like theories of fluid dynamics to be causal far away from equilibrium. Conditions that are sufficient to en…
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…
Nonlinear causality of general first-order relativistic viscous hydrodynamics
Fábio S. Bemfica, Marcelo M. Disconzi, Jorge Noronha
Effective theory arguments are used to derive the most general energy-momentum tensor of a relativistic viscous fluid with an arbitrary equation of state (in the absence of other c…
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…
Causality of the Einstein-Israel-Stewart Theory with Bulk Viscosity
Fabio S. Bemfica, Marcelo M. Disconzi, Jorge Noronha
We prove that Einstein's equations coupled to equations of Israel-Stewart-type, describing the dynamics of a relativistic fluid with bulk viscosity and nonzero baryon charge (witho…
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,…