Schauder estimates for stochastic transport-diffusion equations with Lévy processes
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.12.066
Abstract: We consider a transport-diffusion equation with L\'{e}vy noises and H\"{o}lder continuous coefficients. By using the heat kernel estimates, we derive the Schauder estimates for the mild solutions. Moreover, when the transport term vanishes and $p=2$,… read more here.
Keywords: estimates stochastic; stochastic transport; schauder estimates; transport diffusion ... See more keywords
Well-posedness of a system of transport and diffusion equations in space of measures
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124397
Abstract: Abstract In this paper, we establish the well-posedness of the following system of two transport equations coupled with a diffusion equation: ∂ t μ t 1 + ∇ ⋅ ( v 1 [ μ t… read more here.
Keywords: system transport; system; well posedness; transport diffusion ... See more keywords
Equivalence of Finite Dimensional Input–Output Models of Solute Transport and Diffusion in Geosciences
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2017.2701150
Abstract: We show that for a large class of finite dimensional input–output positive systems that represent networks of transport and diffusion of solute in geological media, there exist equivalent multirate mass transfer and multiple interacting continua… read more here.
Keywords: input output; finite dimensional; transport diffusion; dimensional input ... See more keywords