Mathematical Fluid Dynamics, Present and Future

Part I. Multiphase Flows

1. Nonconvergence of the Capillary Stress Functional for Solutions of the Convective Cahn-Hilliard Equation
Helmut Abels, Stefan Schaubeck

2. On the Interface Formation Model for Dynamic Triple Lines
Dieter Bothe, Jan Prüss

3. Global Solvability of the Problem on Two-Phase Capillary Fluid Motion in the Oberbeck–Boussinesq Approximation
Irina Vlad. Denisova

4. Stability of Steady Flow Past a Rotating Body
Giovanni Paolo Galdi, Ji?í Neustupa

5. Asymptotic Structure of Steady Stokes Flow Around a Rotating Obstacle in Two Dimensions
Toshiaki Hishida

6. Toward Understanding Global Flow Structure
Makoto Iima, Takayuki Yamaguchi, Takeshi Watanabe, Akane Kawaharada, Yuji Tasaka, Erika Shoji

7. Mathematical and Numerical Analysis of the Rayleigh-Plesset and the Keller Equations
Masashi Ohnawa, Yukihito Suzuki

8. On the Amplitude Equation of Approximate Surface Waves on the Plasma-Vacuum Interface
Paolo Secchi

9. On the {mathscr {R}}


R


-Bounded Solution Operator and the Maximal L_p



L
p



- L_q



L
q



Regularity of the Stokes Equations With Free Boundary Condition
Yoshihiro Shibata

10. On the Solvability of Free Boundary Problem for Viscous Compressible Fluids in an Infinite Time Interval
Vsevolod Alekseevich Solonnikov

11. Classical Solvability of the Two-Phase Radial Viscous Fingering Problem in a Hele-Shaw Cell
Atusi Tani, Hisasi Tani

12. Investigation of Bubble Clouds in a Cavitating Jet
Katsuhiro Yamamoto

Part II. Other Related Topics

13. Weak Solutions to Problems Involving Inviscid Fluids
Eduard Feireisl

14. Enstrophy Variations in the Incompressible 2D Euler Flows and alpha


?


Point Vortex System
Takeshi Gotoda, Takashi Sakajo

15. Thermodynamical Consistent Modeling and Analysis of Nematic Liquid Crystal Flows
Matthias Hieber, Jan Prüss

16. Statistical Mechanics of Quasi-geostrophic Vortices
Takeshi Miyazaki, Yuichi Shimoda, Keisei Saga

17. Heat Convection of Compressible Viscous Fluids. III
Takaaki Nishida, Mariarosaria Padula, Yoshiaki Teramoto

18. Error Estimates of a Stabilized Lagrange–Galerkin Scheme of Second-Order in Time for the Navier–Stokes Equations
Hirofumi Notsu, Masahisa Tabata

19. Chaotic Dynamics in an Integro-Differential Reaction-Diffusion System in the Presence of0:1:2 Resonance
Toshiyuki Ogawa, Takashi Okuda Sakamoto

20.
L^infty



L
?



-Stability of Discontinuous Traveling Waves in a Radiating Gas Model
Masashi Ohnawa

21. Mathematical Analysis and Numerical Simulations for a Model of Atherosclerosis
Telma Silva, Jorge Tiago, Adélia Sequeira

22. Regularity for the Solution of a Stochastic Partial Differential Equation with the Fractional Laplacian
Satoshi Yokoyama

Keywords: Mathematics, Partial Differential Equations, Engineering Fluid Dynamics, Mathematical Applications in the Physical Sciences