Local Existence and Uniqueness of Strong Solutions to the Free Boundary Problem of the Full Compressible Navier--Stokes Equations in three dimensions
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Publication:4629299
DOI10.1137/18M1180426zbMath1420.35195arXiv1802.00127OpenAlexW2922963168WikidataQ128193147 ScholiaQ128193147MaRDI QIDQ4629299
Publication date: 21 March 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.00127
free boundary problemexistence of strong solutionsbounded entropycompressible full Navier-Stokes equations
Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)
Related Items (7)
Immediate Blowup of Entropy-Bounded Classical Solutions to the Vacuum Free Boundary Problem of Nonisentropic Compressible Navier–Stokes Equations ⋮ Existence and uniqueness of strong solutions for a class of compressible non-Newtonian fluids with singularity ⋮ Global wellposedness and asymptotic behavior of axisymmetric strong solutions to the vacuum free boundary problem of isentropic compressible Navier-Stokes equations ⋮ Local well-posedness to the vacuum free boundary problem of full compressible Navier-Stokes equations in \(\mathbb{R}^3\) ⋮ Global wellposedness of vacuum free boundary problem of isentropic compressible magnetohydrodynamic equations with axisymmetry ⋮ Global classical solutions to the one dimensional free boundary problem for compressible non-isothermal liquid crystal flow with large data ⋮ Global axisymmetric classical solutions of full compressible magnetohydrodynamic equations with vacuum free boundary and large initial data
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