On the isothermal compressible multi-component mixture flow: the local existence and maximal \(L_p-L_q\) regularity of solutions
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Publication:2278482
DOI10.1016/j.na.2019.111571zbMath1427.35184arXiv1903.09767OpenAlexW2962924591MaRDI QIDQ2278482
Yoshihiro Shibata, Ewelina Zatorska, Tomasz Piasecki
Publication date: 5 December 2019
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.09767
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (11)
Reacting multi-component fluids: regular solutions in Lorentz spaces ⋮ Maximal regularity for compressible two-fluid system ⋮ Maximal mixed parabolic–hyperbolic regularity for the full equations of multicomponent fluid dynamics ⋮ On the Stokes system in cylindrical domains ⋮ Asymptotic derivation of multicomponent compressible flows with heat conduction and mass diffusion ⋮ Incompressible limit for a fluid mixture ⋮ Compressible Navier-Stokes system on a moving domain in the \(L_p - L_q\) framework ⋮ Mass transport in multicomponent compressible fluids: local and global well-posedness in classes of strong solutions for general class-one models ⋮ On the maximal \(L_{p}-L_{q}\) regularity of solutions to a general linear parabolic system ⋮ Exponential time decay of solutions to reaction-cross-diffusion systems of Maxwell-Stefan type ⋮ Steady compressible Navier-Stokes-Fourier equations with Dirichlet boundary condition for the temperature
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