Recent progress in the theory of the Euler and Navier-Stokes equations / edited by James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (Uniwersytet Warszawski, Poland), Alejandro Vidal-López (Xi'an Jiaotong University, China).
| Call Number | 530.15/5353 |
| Title | Recent progress in the theory of the Euler and Navier-Stokes equations / edited by James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (Uniwersytet Warszawski, Poland), Alejandro Vidal-López (Xi'an Jiaotong University, China). Recent Progress in the Theory of the Euler & Navier–Stokes Equations |
| Physical Description | 1 online resource (xiii, 232 pages) : digital, PDF file(s). |
| Series | London Mathematical Society lecture note series ; 430 |
| Notes | Title from publisher's bibliographic system (viewed on 07 Jan 2016). |
| Contents | Classical solutions to the two-dimensional Euler equations and elliptic boundary value problems, an overview / H. Beirão da Veiga -- Analyticity radii and the Navier-Stokes equations: recent results and applications / Z. Bradshaw, Z. Grujic, & I. Kukavica -- On the motion of a pendulum with a cavity entirely filled with a viscous liquid / G.P. Galdi & G. Mazzone -- Modal dependency and nonlinear depletion in the three-dimensional Navier-Stokes equations / J.D. Gibbon -- Boussinesq equations with zero viscosity or zero diffusivity: a review / W. Hu, I. Kukavica, F. Wang, & M. Ziane -- Global regularity versus finite-time singularities: some paradigms on the effect of boundary conditions and certain perturbations / A. Larios & E.S. Titi -- Parabolic Morrey spaces and mild solutions of the Navier-Stokes equations: an interesting answer through a silly method to a stupid question / P.G. Lemarié-Rieusset -- Well-posedness for the diffusive 3D Burgers equations with initial data in H1/2 / B.C. Pooley & J.C. Robinson -- On the Fursikov approach to the moment problem for the three-dimensional Navier-Stokes equations / J.C. Robinson & A. Vidal-López -- Some probabilistic topics in the Navier-Stokes equations / M. Romito. |
| Summary | The rigorous mathematical theory of the Navier–Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier–Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier–Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers. |
| Added Author | Robinson, James C. 1969- editor. Rodrigo, Jose L., editor. Sadowski, Witold (Mathematician), editor. Vidal-López, Alejandro, 1976- editor. |
| Subject | DIFFERENTIAL EQUATIONS, PARTIAL. NAVIER-STOKES EQUATIONS. LAGRANGE EQUATIONS. |
| Multimedia |
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No Reviews to Display
| Summary | The rigorous mathematical theory of the Navier–Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier–Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier–Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers. |
| Notes | Title from publisher's bibliographic system (viewed on 07 Jan 2016). |
| Contents | Classical solutions to the two-dimensional Euler equations and elliptic boundary value problems, an overview / H. Beirão da Veiga -- Analyticity radii and the Navier-Stokes equations: recent results and applications / Z. Bradshaw, Z. Grujic, & I. Kukavica -- On the motion of a pendulum with a cavity entirely filled with a viscous liquid / G.P. Galdi & G. Mazzone -- Modal dependency and nonlinear depletion in the three-dimensional Navier-Stokes equations / J.D. Gibbon -- Boussinesq equations with zero viscosity or zero diffusivity: a review / W. Hu, I. Kukavica, F. Wang, & M. Ziane -- Global regularity versus finite-time singularities: some paradigms on the effect of boundary conditions and certain perturbations / A. Larios & E.S. Titi -- Parabolic Morrey spaces and mild solutions of the Navier-Stokes equations: an interesting answer through a silly method to a stupid question / P.G. Lemarié-Rieusset -- Well-posedness for the diffusive 3D Burgers equations with initial data in H1/2 / B.C. Pooley & J.C. Robinson -- On the Fursikov approach to the moment problem for the three-dimensional Navier-Stokes equations / J.C. Robinson & A. Vidal-López -- Some probabilistic topics in the Navier-Stokes equations / M. Romito. |
| Subject | DIFFERENTIAL EQUATIONS, PARTIAL. NAVIER-STOKES EQUATIONS. LAGRANGE EQUATIONS. |
| Multimedia |