Decay rate of solutions to hyperbolic system of first order

1999 ◽  
Vol 15 (4) ◽  
pp. 471-484 ◽  
Author(s):  
Shuxing Chen ◽  
Yi Zhou
Keyword(s):  
Decay Rate ◽  
Hyperbolic System ◽  
First Order

scholarly journals Characterization of Dissipative Structures for First-Order Symmetric Hyperbolic System with General Relaxation

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 728
Author(s):  
Yasunori Maekawa ◽  
Yoshihiro Ueda
Keyword(s):  
Hyperbolic System ◽  
Dissipative Structure ◽  
Dissipative Structures ◽  
Algebraic Characterization ◽  
Symmetric Hyperbolic System ◽  
Full Generality ◽  
Order Linear ◽  
First Order

In this paper, we study the dissipative structure of first-order linear symmetric hyperbolic system with general relaxation and provide the algebraic characterization for the uniform dissipativity up to order 1. Our result extends the classical Shizuta–Kawashima condition for the case of symmetric relaxation, with a full generality and optimality.

scholarly journals QED RADIATIVE CORRECTIONS TO THE DECAY π0→e+e−

1993 ◽  
Vol 08 (18) ◽  
pp. 1691-1700 ◽  
Author(s):  
GEORGE TRIANTAPHYLLOU
Keyword(s):  
Perturbation Theory ◽  
Decay Rate ◽  
Invariant Mass ◽  
New Physics ◽  
Radiative Corrections ◽  
First Order ◽  
Recent Interest ◽  
Electron Positron ◽  
Electron Positron Pair ◽  
First Order Perturbation

In view of the recent interest in the decays of mesons into a pair of light leptons, a computation of the QED radiative corrections to the decay of π0 into an electron-positron pair is presented here. The analysis is based on the soft-photon resummation method, which, unlike first-order perturbation theory, allows for very strict invariant-mass cuts on the final electrons. When combined with the theoretical estimates for the non-radiatively corrected decay rate, the results of the present paper could help to determine if new physics affect this decay.

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