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This paper is concerned with the asymptotic behavior of the solution to the Euler equations with time-depending damping on quadrant (x, t) ∈ ℝ+ × ℝ+, $${\partial _t}v - {\partial _x}u = 0,{\partial _t}u + {\partial _x}p\left( v \right) = - \frac{\alpha }{{{{\left( {1 + t} \right)}^\lambda }}}u,$$ ∂ t v − ∂ x u = 0 , ∂ t u + ∂ x p ( v ) = − α ( 1 + t ) λ u , , with the...
We study the large-time asymptotics of solutions toward the weak rarefaction wave of the quasineutral Euler system for a two-fluid plasma model in the presence of diffusions of velocity and temperature under small perturbations of initial data and also under an extra assumption ...
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