Global well-posedness for the one-dimensional Euler-Fourier-Korteweg system (Q6612112)

scientific article; zbMATH DE number 7920032

Language	Label	Description	Also known as
English	Global well-posedness for the one-dimensional Euler-Fourier-Korteweg system	scientific article; zbMATH DE number 7920032

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instance of

scholarly article

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title

Global well-posedness for the one-dimensional Euler-Fourier-Korteweg system (English)

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Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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publication date

30 September 2024

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zbMATH Keywords

Euler-Fourier-Korteweg system

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Besov spaces

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global well-posedness

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MaRDI profile type

Publication

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cites work

Dispersive Smoothing for the Euler--Korteweg Model

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Global well-posedness of the Euler-Korteweg system for small irrotational data

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From the Gross-Pitaevskii equation to the Euler Korteweg system, existence of global strong solutions with small irrotational initial data

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Partially dissipative one-dimensional hyperbolic systems in the critical regularity setting, and applications

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Local well posedness of the Euler-Korteweg equations on \({{\mathbb{T}}^d} \)

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Global classical solutions to the one-dimensional compressible fluid models of Korteweg type with large initial data

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Global smooth solutions to the nonisothermal compressible fluid models of Korteweg type with large initial data

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Asymptotic Behavior of Solutions to An Impermeable Wall Problem of the Compressible Fluid Models of Korteweg Type with Density-dependent Viscosity and Capillarity

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Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity

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Flows of non-Lipschitzian vector fields and Navier-Stokes equations

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Existence of solutions for compressible fluid models of Korteweg type

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Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical \(L^{p}\) framework

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Q3431731

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On the well-posedness for the Euler-Korteweg model in several space dimensions

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Existence of global strong solutions in critical spaces for barotropic viscous fluids

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Q4336725

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Global well-posedness of the 3D non-isothermal compressible fluid model of Korteweg type

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The \(L^p\) energy methods and decay for the compressible Navier-Stokes equations with capillarity

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Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion

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Q4389323

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Large-time behavior of solutions to an inflow problem for the compressible Navier-Stokes-Korteweg equations in the half space

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Stability of the planar rarefaction wave to two‐dimensional Navier‐Stokes‐Korteweg equations of compressible fluids

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Stability of the planar rarefaction wave to three-dimensional Navier–Stokes–Korteweg equations of compressible fluids

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Asymptotic stability of rarefaction wave for the compressible Navier‐Stokes‐Korteweg equations in the half space

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Asymptotic stability of the stationary solution to an out-flow problem for the Navier-Stokes-Korteweg equations of compressible fluids

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Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum

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Q4220322

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Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation

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A sharp time-weighted inequality for the compressible Navier-Stokes-Poisson system in the critical \(L^p\) framework

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Large-time behavior of solutions in the critical spaces for the non-isentropic compressible Navier-Stokes equations with capillarity

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Large time behavior of solutions for compressible Euler equations with damping in \(\mathbb R^3\)

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Global existence and optimal \(L^2\) decay rate for the strong solutions to the compressible fluid models of Korteweg type

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A remark on the multi-dimensional compressible Euler system with damping in the 𝐿^{𝑝} critical Besov spaces

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Entropy and global existence for hyperbolic balance laws

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Asymptotic limits of Navier-Stokes equations with quantum effects

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Identifiers

zbMATH Open document ID

1548.35198

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DOI

10.1007/s40840-024-01756-7

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6612112