M. Czubak

activity

20072025

most citedThe formulation of the Navier-Stokes equations on Riemannian manifolds

43 citations · 102 across the 18 of their papers we have counts for

collaborators

Showing 2013 · math.APShow all

3 papers · 2 filters

math.AP2013★ 2 cited

Remarks on the weak formulation of the Navier-Stokes equations on the 2D hyperbolic space

Chi Hin Chan, Magdalena Czubak

The Leray-Hopf solutions to the Navier-Stokes equation are known to be unique on $R^{2}$ . In our previous work we showed the breakdown of uniqueness in a hyperbolic setting. In th…

math.AP2013★ 1 cited

Low regularity well-posedness for the 2D Maxwell-Klein-Gordon equation in the Coulomb gauge

M. Czubak, N. Pikula

We consider the Maxwell-Klein-Gordon equation in 2D in the Coulomb gauge. We establish local well-posedness for $s = \frac{1}{4} + ε$ for data for the spatial part of the gauge potentials…

math.AP2013★ 2 cited

Lower bound for the rate of blow-up of singular solutions of the Zakharov system in $R^{3}$

J. Colliander, M. Czubak, C. Sulem

We consider the scalar Zakharov system in $R^{3}$ for initial conditions $(ψ (0), n (0), n_{t} (0)) \in H^{ℓ + 1/2} \times H^{ℓ} \times H^{ℓ - 1}$ , $0 \leq ℓ \leq 1$ . Assuming that…

Remarks on the weak formulation of the Navier-Stokes equations on the 2D hyperbolic space

Low regularity well-posedness for the 2D Maxwell-Klein-Gordon equation in the Coulomb gauge

Lower bound for the rate of blow-up of singular solutions of the Zakharov system in R3

Lower bound for the rate of blow-up of singular solutions of the Zakharov system in $R^{3}$