Add to ORKGThe work described here shows that the known variational principle for the Navier- Stokes equations and the adjoint system can be modified to produce a set of Euler- Lagrange variational equations which have the same order and same solution as the Navier-Stokes equations provided the adjoint system has a unique solution, and provided in the steady state case, that the Reynolds number remains finite
We develop a new approach for regularity estimates, especially vorticity estimates, of solutions of ...
A new mixed variational formulation for the Navier–Stokes equations with constant density and variab...
For physical systems, the dynamics of which is formulated within the framework of Lagrange formalism...
AbstractMotivated from Arnold's variational characterization of the Euler equation in terms of geode...
This is the final version. Available from The Royal Society via the DOI in this recordA variational ...
We present results concerning the local existence, regularity and possible blow up of solutions to i...
Based on a Clebsch-like velocity representation and a combination of classical variational principle...
AbstractA finite element method based on a least-squares variational principle is developed for the ...
In this book we formulate and prove the variational extremum principle for viscous incompressible an...
The variational principle for compressible fluid mechanics previously introduced is extended to two ...
20 pagesInternational audienceWe describe the Hamiltonian structures, including the Poisson brackets...
In this book we formulate and prove the variational extremum principle for viscous incompressible fl...
summary:This is the last from a series of three papers dealing with variational equations of Navier-...
AbstractThe decomposition method is applied to the Navier-Stokes equation to provide a solution with...
Abstract: The motion of a viscous incompressible fluid flow in bounded domains with a smooth boundar...
We develop a new approach for regularity estimates, especially vorticity estimates, of solutions of ...
A new mixed variational formulation for the Navier–Stokes equations with constant density and variab...
For physical systems, the dynamics of which is formulated within the framework of Lagrange formalism...
AbstractMotivated from Arnold's variational characterization of the Euler equation in terms of geode...
This is the final version. Available from The Royal Society via the DOI in this recordA variational ...
We present results concerning the local existence, regularity and possible blow up of solutions to i...
Based on a Clebsch-like velocity representation and a combination of classical variational principle...
AbstractA finite element method based on a least-squares variational principle is developed for the ...
In this book we formulate and prove the variational extremum principle for viscous incompressible an...
The variational principle for compressible fluid mechanics previously introduced is extended to two ...
20 pagesInternational audienceWe describe the Hamiltonian structures, including the Poisson brackets...
In this book we formulate and prove the variational extremum principle for viscous incompressible fl...
summary:This is the last from a series of three papers dealing with variational equations of Navier-...
AbstractThe decomposition method is applied to the Navier-Stokes equation to provide a solution with...
Abstract: The motion of a viscous incompressible fluid flow in bounded domains with a smooth boundar...
We develop a new approach for regularity estimates, especially vorticity estimates, of solutions of ...
A new mixed variational formulation for the Navier–Stokes equations with constant density and variab...
For physical systems, the dynamics of which is formulated within the framework of Lagrange formalism...