Add to ORKGWe prove that there exist infinitely many distributional solutions with infinite kinetic energy to both the incompressible Navier-Stokes equations in $ \mathbb{R}^2 $ and Burgers equation in $\mathbb{R} $ with vanishing initial data
We consider a thermodynamically consistent diffuse interface model describing two-phase flows of inc...
We compare freely decaying evolution of the Navier-Stokes equations with that of the 3D Burgers equa...
We show that solutions u(x, t) of the non-stationnary incompressible Navier–Stokes system in Rd (d ≥...
We prove that there exist infinitely many distributional solutions with infinite kinetic energy to b...
In this paper, we consider the 2D incompressible Navier-Stokes equations on the torus. It is well kn...
International audienceDifferent results related to the asymptotic behavior of incompressible fluid e...
We give a development up to the second order for strong solutions u of incompressible Naviel-Stokes ...
AbstractIn this paper we study the global existence and asymptotic behaviour of solutions tout=Δlogu...
Let $u_0\in C_0^5 ( B_{R_0})$ be divergence-free and suppose that $u$ is a strong solution of the th...
AbstractInfinite energy solutions to the Navier–Stokes equations in R2 may be constructed by decompo...
We show that Hölder continuous, globally dissipative incompressible Euler flows (solutions obeying t...
In this note, we study the random data problem for incompressible Navier-Stokes equations in Euclide...
We consider the Burgers equation and prove a property which seems to have been unobserved until now:...
We consider the isentropic Euler equations of gas dynamics in the whole two-dimensional space and we...
summary:For a bounded domain $\Omega \subset \Bbb R ^n$, $n\geq 3,$ we use the notion of very weak s...
We consider a thermodynamically consistent diffuse interface model describing two-phase flows of inc...
We compare freely decaying evolution of the Navier-Stokes equations with that of the 3D Burgers equa...
We show that solutions u(x, t) of the non-stationnary incompressible Navier–Stokes system in Rd (d ≥...
We prove that there exist infinitely many distributional solutions with infinite kinetic energy to b...
In this paper, we consider the 2D incompressible Navier-Stokes equations on the torus. It is well kn...
International audienceDifferent results related to the asymptotic behavior of incompressible fluid e...
We give a development up to the second order for strong solutions u of incompressible Naviel-Stokes ...
AbstractIn this paper we study the global existence and asymptotic behaviour of solutions tout=Δlogu...
Let $u_0\in C_0^5 ( B_{R_0})$ be divergence-free and suppose that $u$ is a strong solution of the th...
AbstractInfinite energy solutions to the Navier–Stokes equations in R2 may be constructed by decompo...
We show that Hölder continuous, globally dissipative incompressible Euler flows (solutions obeying t...
In this note, we study the random data problem for incompressible Navier-Stokes equations in Euclide...
We consider the Burgers equation and prove a property which seems to have been unobserved until now:...
We consider the isentropic Euler equations of gas dynamics in the whole two-dimensional space and we...
summary:For a bounded domain $\Omega \subset \Bbb R ^n$, $n\geq 3,$ we use the notion of very weak s...
We consider a thermodynamically consistent diffuse interface model describing two-phase flows of inc...
We compare freely decaying evolution of the Navier-Stokes equations with that of the 3D Burgers equa...
We show that solutions u(x, t) of the non-stationnary incompressible Navier–Stokes system in Rd (d ≥...