Global well-posedness for the one-dimensional Euler-Fourier-Korteweg system
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Publication:6612112
DOI10.1007/S40840-024-01756-7zbMATH Open1548.35198MaRDI QIDQ6612112
Jian-Zhong Zhang, Wei-Xuan Shi
Publication date: 30 September 2024
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Euler equations (35Q31)
Cites Work
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- Global existence and optimal \(L^2\) decay rate for the strong solutions to the compressible fluid models of Korteweg type
- Global well-posedness of the Euler-Korteweg system for small irrotational data
- Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical \(L^{p}\) framework
- Large time behavior of solutions for compressible Euler equations with damping in \(\mathbb R^3\)
- Existence of global strong solutions in critical spaces for barotropic viscous fluids
- Asymptotic limits of Navier-Stokes equations with quantum effects
- On the thermomechanics of interstitial working
- Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
- Global well-posedness of the 3D non-isothermal compressible fluid model of Korteweg type
- From the Gross-Pitaevskii equation to the Euler Korteweg system, existence of global strong solutions with small irrotational initial data
- Global smooth solutions to the nonisothermal compressible fluid models of Korteweg type with large initial data
- A sharp time-weighted inequality for the compressible Navier-Stokes-Poisson system in the critical \(L^p\) framework
- Entropy and global existence for hyperbolic balance laws
- Flows of non-Lipschitzian vector fields and Navier-Stokes equations
- The \(L^p\) energy methods and decay for the compressible Navier-Stokes equations with capillarity
- Local well posedness of the Euler-Korteweg equations on \({{\mathbb{T}}^d} \)
- Large-time behavior of solutions to an inflow problem for the compressible Navier-Stokes-Korteweg equations in the half space
- Partially dissipative one-dimensional hyperbolic systems in the critical regularity setting, and applications
- Asymptotic stability of the stationary solution to an out-flow problem for the Navier-Stokes-Korteweg equations of compressible fluids
- Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum
- Global classical solutions to the one-dimensional compressible fluid models of Korteweg type with large initial data
- On Navier-Stokes-Korteweg and Euler-Korteweg systems: application to quantum fluids models
- Large-time behavior of solutions in the critical spaces for the non-isentropic compressible Navier-Stokes equations with capillarity
- Fourier Analysis and Nonlinear Partial Differential Equations
- Dispersive Smoothing for the Euler--Korteweg Model
- Stability of the planar rarefaction wave to three-dimensional Navier–Stokes–Korteweg equations of compressible fluids
- Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity
- Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion
- Asymptotic stability of rarefaction wave for the compressible Navier‐Stokes‐Korteweg equations in the half space
- Stability of the planar rarefaction wave to two‐dimensional Navier‐Stokes‐Korteweg equations of compressible fluids
- On the well-posedness for the Euler-Korteweg model in several space dimensions
- Asymptotic Behavior of Solutions to An Impermeable Wall Problem of the Compressible Fluid Models of Korteweg Type with Density-dependent Viscosity and Capillarity
- Existence of solutions for compressible fluid models of Korteweg type
- The Hyperbolic-Parabolic Chemotaxis System for Vasculogenesis: Global Dynamics and Relaxation Limit Toward a Keller–Segel Model
- A remark on the multi-dimensional compressible Euler system with damping in the 𝐿^{𝑝} critical Besov spaces
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