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20072025
most citedConvolution inequalities for the Boltzmann collision operator

49 citations · 204 across the 31 of their papers we have counts for

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7 papers · 1 filter

math-ph2023

Integrability propagation for a Boltzmann system describing polyatomic gas mixtures

Ricardo Alonso, Milana Pavić-Čolić

This paper explores the Lebesgue's integrability propagation, , of a system of space homogeneous Boltzmann equations modelling a multi-component mixture of…

math-ph2023

The Cauchy problem for Boltzmann bi-linear systems: The mixing of monatomic and polyatomic gases

Ricardo J. Alonso, Irene M. Gamba, Milana Pavic-Colic

From a unified vision of vector valued solutions in weighted Banach spaces, this manuscript establishes the existence and uniqueness for space homogeneous Boltzmann bi-linear syste…

math-ph2022★ 2 cited

The Boltzmann equation for hard potentials with integrable angular transition: Coerciveness, exponential tails rates, and Lebesgue integrability

Ricardo J. Alonso, Irene M. Gamba

This manuscript focus on an extensive survey with new techniques on the problem of solving the Boltzmann flow by bringing a unified approach to the Cauchy problem to homogeneous ki…

math-ph2017★ 12 cited

Exponentially-tailed regularity and time asymptotic for the homogeneous Boltzmann equation

Ricardo Alonso, Irene M. Gamba, Maja Tasković

We present in this document the Lebesgue and Sobolev propagation of exponential tails for solutions of the homogeneous Boltzmann equation for hard and Maxwell interactions. In addi…

math-ph2013★ 1 cited

Electromagnetic wave propagation in random waveguides

Ricardo Alonso, Liliana Borcea

We study long range propagation of electromagnetic waves in random waveguides with rectangular cross-section and perfectly conducting boundaries. The waveguide is filled with an is…

math-ph2009★ 30 cited

Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with integrable angular cross section

Ricardo J. Alonso, Irene M. Gamba

This paper focuses on the study of existence and uniqueness of distributional and classical solutions to the Cauchy Boltzmann problem for the soft potential case assuming …