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On the Solution Operators Arising from the Gas-Liquid Two-Phase Problem in Unbounded Domains with Finite Depth

https://doi.org/10.2139/ssrn.5347222
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Almost Exponential Decay of Periodic Viscous Surface Waves without Surface Tension
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Global solvability of the Navier–Stokes equations with a free surface in the maximal L-L regularity class
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Maximal L1-regularity of the Navier–Stokes equations with free boundary conditions via a generalized semigroup theory
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Compressible viscous heat-conducting surface wave without surface tension
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Global existence of two phase nonhomogeneous viscous incompbessible fluid flow
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Global wellposedness of the 3D compressible Navier–Stokes equations with free surface in the maximal regularity class
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Free Boundary Problems via Da Prato–Grisvard Theory
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The Compressible Viscous Surface-Internal Wave Problem: Local Well-Posedness
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Some Free Boundary Problem for Two-Phase Inhomogeneous Incompressible Flows
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On Nonstationary Motion of a Compressible Barotropic Viscous Capillary Fluid Bounded by a Free Surface
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Two-phase free boundary problem for compressible viscous fluid motion
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$L_2$-theory for two incompressible fluids separated by a free interface
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On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain
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On the $\mathcal{R}$-Sectoriality and the Initial Boundary Value Problem for the Viscous Compressible Fluid Flow
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On the $\mathcal R$-Boundedness for the Two Phase Problem with Phase Transition: Compressible-Incompressible Model Problem
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Decay of viscous surface waves without surface tension in horizontally infinite domains
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Local well-posedness of the viscous surface wave problem without surface tension
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On the maximal $L_p$-$L_q$ regularity of the Stokes problem with first order boundary condition; model problems
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Maximal $L^{1}$-regularity and free boundary problems for the incompressible Navier–Stokes equations in critical spaces
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On the Evolution of Compressible and Incompressible Viscous Fluids with a Sharp Interface
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On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface
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Decay properties of the Stokes semigroup for two-phase incompressible viscous flows
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Evolution of compressible and incompressible fluids separated by a closed interface
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