We prove global existence for a nonlinear Smoluchowski equation (a nonlinear Fokker-Planck equation) coupled with Navier-Stokes equations in 2d. The proof uses a deteriorating regularity estimate in the spirit of [5] (see also [1]
We prove global well-posedness for instationary Navier-Stokes equations with initial data in Besov s...
We prove that, unlike in several space dimensions, there is no critical (nonlinear) diffusion coeffi...
1We prove that the incompressible, density dependent, Navier-Stokes equations are globally well pose...
We provide a proof of global regularity of solutions of coupled Navier-Stokes equations and Fokker-P...
Abstract We provide a proof of global regularity of solutions of coupled Navier-Stokes equations and...
In this paper, we establish new a priori estimates for the coupled 2D Navier-Stokes equations and Fo...
Motivated by [P. Constantin, N. Masmoudi, Global well-posedness for a Smoluchowski equation coupled ...
Fundamental questions in the theory of partial differential equations are that of existence and uniq...
Liu W, Röckner M. Local and global well-posedness of SPDE with generalized coercivity conditions. Jo...
AbstractWe provide a new proof for the global well-posedness of systems coupling fluids and polymers...
AbstractFirst, we prove that the local solution to the Navier–Stokes-omega equations is unique when ...
AbstractWe prove L2 global well-posedness results for 2D (subcritical and critical) nonlinear Schröd...
We generalize a classical result of T. Kato on the existence of global solutions to the Navier-Stoke...
We revise the classical approach by Brézis–Gallouët to prove global well-posedness for nonlinear evo...
We consider the initial value problem (IVP) for certain semilinear wave equations in two dimensions....
We prove global well-posedness for instationary Navier-Stokes equations with initial data in Besov s...
We prove that, unlike in several space dimensions, there is no critical (nonlinear) diffusion coeffi...
1We prove that the incompressible, density dependent, Navier-Stokes equations are globally well pose...
We provide a proof of global regularity of solutions of coupled Navier-Stokes equations and Fokker-P...
Abstract We provide a proof of global regularity of solutions of coupled Navier-Stokes equations and...
In this paper, we establish new a priori estimates for the coupled 2D Navier-Stokes equations and Fo...
Motivated by [P. Constantin, N. Masmoudi, Global well-posedness for a Smoluchowski equation coupled ...
Fundamental questions in the theory of partial differential equations are that of existence and uniq...
Liu W, Röckner M. Local and global well-posedness of SPDE with generalized coercivity conditions. Jo...
AbstractWe provide a new proof for the global well-posedness of systems coupling fluids and polymers...
AbstractFirst, we prove that the local solution to the Navier–Stokes-omega equations is unique when ...
AbstractWe prove L2 global well-posedness results for 2D (subcritical and critical) nonlinear Schröd...
We generalize a classical result of T. Kato on the existence of global solutions to the Navier-Stoke...
We revise the classical approach by Brézis–Gallouët to prove global well-posedness for nonlinear evo...
We consider the initial value problem (IVP) for certain semilinear wave equations in two dimensions....
We prove global well-posedness for instationary Navier-Stokes equations with initial data in Besov s...
We prove that, unlike in several space dimensions, there is no critical (nonlinear) diffusion coeffi...
1We prove that the incompressible, density dependent, Navier-Stokes equations are globally well pose...