Nonlinear maximum principles for dissipative linear nonlocal operators and applications
P Constantin, V Vicol - Geometric And Functional Analysis, 2012 - Springer
We obtain a family of nonlinear maximum principles for linear dissipative nonlocal operators,
that are general, robust, and versatile. We use these nonlinear bounds to provide …
that are general, robust, and versatile. We use these nonlinear bounds to provide …
Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
C Cao, J Wu - Archive for Rational Mechanics and Analysis, 2013 - Springer
This paper establishes the global in time existence of classical solutions to the two-
dimensional anisotropic Boussinesq equations with vertical dissipation. When only vertical …
dimensional anisotropic Boussinesq equations with vertical dissipation. When only vertical …
Continuous data assimilation for the 2D Bénard convection through velocity measurements alone
An algorithm for continuous data assimilation for the two-dimensional Bénard convection
problem is introduced and analyzed. It is inspired by the data assimilation algorithm …
problem is introduced and analyzed. It is inspired by the data assimilation algorithm …
[HTML][HTML] Global well-posedness for the 2D Boussinesq system with anisotropic viscosity and without heat diffusion
We establish global existence and uniqueness theorems for the two-dimensional non-
diffusive Boussinesq system with anisotropic viscosity acting only in the horizontal direction …
diffusive Boussinesq system with anisotropic viscosity acting only in the horizontal direction …
The two-dimensional incompressible Boussinesq equations with general critical dissipation
The two-dimensional incompressible Boussinesq equations with partial or fractional
dissipation have recently attracted considerable attention and the global regularity issue has …
dissipation have recently attracted considerable attention and the global regularity issue has …
Data assimilation with model error: Analytical and computational study for Sabra shell model
Understanding the impact of model error on data assimilation is an important practical topic.
Model error in the subgrid scale is commonly seen in various applications as a natural …
Model error in the subgrid scale is commonly seen in various applications as a natural …
[HTML][HTML] The 2D Boussinesq equations with logarithmically supercritical velocities
This paper investigates the global (in time) regularity of solutions to a system of equations
that generalize the vorticity formulation of the 2D Boussinesq–Navier–Stokes equations. The …
that generalize the vorticity formulation of the 2D Boussinesq–Navier–Stokes equations. The …
A data assimilation algorithm: The paradigm of the 3D Leray-α model of turbulence
Data assimilation is a methodology to estimate weather or ocean variables by combining
(synchronizing) information from observational data with a numerical dynamical (forecast) …
(synchronizing) information from observational data with a numerical dynamical (forecast) …
Global Smooth Solutions to the n-Dimensional Damped Models of Incompressible Fluid Mechanics with Small Initial Datum
Global Smooth Solutions to the n-Dimensional Damped Models of Incompressible Fluid
Mechanics with Small Initial Datum | SpringerLink Skip to main content Advertisement …
Mechanics with Small Initial Datum | SpringerLink Skip to main content Advertisement …
[HTML][HTML] Small global solutions to the damped two-dimensional Boussinesq equations
D Adhikari, C Cao, J Wu, X Xu - Journal of Differential Equations, 2014 - Elsevier
Abstract The two-dimensional (2D) incompressible Euler equations have been thoroughly
investigated and the resolution of the global (in time) existence and uniqueness issue is …
investigated and the resolution of the global (in time) existence and uniqueness issue is …