Titlebook: Mathematical Fluid Dynamics, Present and Future; Tokyo, Japan, Novemb Yoshihiro Shibata,Yukihito Suzuki Conference proceedings 2016 Springe

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Nonconvergence of the Capillary Stress Functional for Solutions of the Convective Cahn-Hilliard Equas the solution to a convective Cahn-Hilliard equation with mobility constant converging to 0 too fast as .. In that case the motion of the interface is dominated by the convection term . of the convective Cahn-Hilliard equation.

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Mathematical and Numerical Analysis of the Rayleigh-Plesset and the Keller Equations order widely used for describing motions of a spherically symmetric single bubble. We show that these equations admit structures of the Hamiltonian system with respect to a physically reasonable energy function perturbed by dissipation and obtain the asymptotic behavior of the solutions. Making use

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On the Amplitude Equation of Approximate Surface Waves on the Plasma-Vacuum Interface consider the equations of incompressible magnetohydrodynamics, while in vacuum the magnetic and electric fields are governed by the Maxwell equations. A surface wave propagate along the plasma-vacuum interface, when it is linearly weakly stable. Following the approach of Alì and Hunter, we measure

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On the Solvability of Free Boundary Problem for Viscous Compressible Fluids in an Infinite Time Intele surface. We prove that this problem is uniquely solvable in the anisotropic Sobolev spaces, and under certain assumptions the solution is defined for . and decays exponentially as .. In the proof we use the estimate of “modified energy” obtained by M. Padula.

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Classical Solvability of the Two-Phase Radial Viscous Fingering Problem in a Hele-Shaw Cellnlike the Stefan problem for heat equations Hele-Shaw problem is of hydrodynamic type. In this paper the classical solvability of two-phase Hele-Shaw problem with radial geometry is established by applying the same method as for the Stefan problem and justifying the vanishing the coefficients of the