Surface-tension-driven flows and, in particular, their tendency to decay spontaneously into
drops have long fascinated naturalists, the earliest systematic experiments dating back to …

This book comprises seven chapters, an appendix, a bibliographical section 98 references,
and an index. Exercises are provided at the end of each chapter. The stated goal of the book …

This textbook presents a modern account of turbulence, one of the greatest challenges in
physics. The state-of-the-art is put into historical perspective five centuries after the first …

This series of books forms a unique and rigorous treatise on various mathematical aspects
of fluid mechanics models. These models consist of systems of nonlinear partial differential …

This book presents an introduction to, and modern account of, magnetohydrodynamic
(MHD) turbulence, an active field both in general turbulence theory and in various areas of …

We prove the global well-posedness of the viscous incompressible Boussinesq equations in
two spatial dimensions for general initial data in Hm with m≥ 3. It is known that when both …

Three‐dimensional, incompressible Euler calculations of the interaction of perturbed
antiparallel vortex tubes using smooth initial profiles in a bounded domain with bounded …

In this paper, we investigate the performance of pseudo-spectral methods in computing
nearly singular solutions of fluid dynamics equations. We consider two different ways of …

The question of finite-time blowup of the 3D incompressible Euler equations is numerically
investigated in a periodic cylinder with solid boundaries. Using rotational symmetry, the …

Whether the three-dimensional incompressible Euler equations can develop a singularity in
finite time from smooth initial data is one of the most challenging problems in mathematical …