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20122026
most citedCausality and existence of solutions of relativistic viscous fluid dynamics with gravity

257 citations · 1.2k across the 45 of their papers we have counts for

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Showing 2013Show all

8 papers · 1 filter

math-ph2013★ 23 cited

On the well-posedness of relativistic viscous fluids

Marcelo M. Disconzi

Using a simple and well-motivated modification of the stress-energy tensor for a viscous fluid proposed by Lichnerowicz, we prove that Einstein's equations coupled to a relativisti…

math.AP2013★ 11 cited

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…

math-ph2013★ 1 cited

Remarks on positive energy vacua via effective potentials in string theory

Sujan P. Dabholkar, Marcelo M. Disconzi, Vamsi P. Pingali

We study warped compactifications of string/M theory with the help of effective potentials, continuing previous work of the last two authors and Michael R. Douglas presented in arX…

math.AP2013★ 2 cited

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…

gr-qc2013★ 2 cited

A note on quantization in the presence of gravitational shock waves

Marcelo M. Disconzi

We study the quantization of a free scalar field when the background metric satisfies Einstein's equations and develops gravitational shock waves.

math.AP2013★ 1 cited

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…

math.AP2013★ 11 cited

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…

math.AP2013★ 15 cited

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…