A quantitative analysis shows that observer-dependent effects in a new relativistic diffusion theory scale like the square root of time, slower than standard truncation errors, yet remain finite as speeds approach light.
On the Causality and Stability of the Relativistic Diffusion Equation
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
This paper examines the mathematical properties of the relativistic diffusion equation. The peculiar solution which Hiscock and Lindblom identified as an instability is shown to emerge from an ill-posed initial value problem. These do not meet the mathematical conditions required for realistic physical problems and can not serve as an argument against the relativistic hydrodynamics of Landau and Lifshitz.
citation-role summary
method 1
citation-polarity summary
fields
gr-qc 1years
2025 1verdicts
ACCEPT 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
Noncovariant parabolic theories of relativistic diffusion
A quantitative analysis shows that observer-dependent effects in a new relativistic diffusion theory scale like the square root of time, slower than standard truncation errors, yet remain finite as speeds approach light.