Global well-posedness theory for a class of coupled parabolic-elliptic systems
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DOI: 10.1016/j.jmaa.2020.123923
Abstract: Abstract We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in… read more here.
Keywords: system; theory class; class coupled; global well ... See more keywords
Explicit solution for a class of coupled hyperbolic systems of conservation laws
Sign Up to like & getrecommendations! Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2019.1612883
Abstract: ABSTRACT Under suitably generalized Rankine–Hugoniot relation and entropy condition, by introducing a convex hull of potential function, the global explicit solution for the Cauchy problem to a class of coupled hyperbolic systems of conservation laws,… read more here.
Keywords: explicit solution; hyperbolic systems; class coupled; systems conservation ... See more keywords