Explicit formula of radiation fields of free waves with applications on channel of energy
Liang Li, Ruipeng Shen, Lijuan Wei
TL;DR
This paper derives explicit formulas for radiation fields of linear free waves and applies them to characterize non-radiative solutions and establish new exterior energy estimates across dimensions.
Contribution
It provides explicit formulas for radiation fields and uses them to analyze non-radiative solutions and energy estimates in wave equations.
Findings
Explicit formulas for radiation fields of linear free waves
Characterization of radial weakly non-radiative solutions in all dimensions
New exterior energy estimates
Abstract
In this work we give a few explicit formulas regarding the radiation fields of linear free waves. We then apply these formulas on the channel of energy theory. We characterize all the radial weakly non-radiative solutions in all dimensions and give a few new exterior energy estimates.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Stability and Controllability of Differential Equations · Navier-Stokes equation solutions