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Well-posedness for the Navier–Stokes Equations

where u is the velocity and p is the pressure. It is well known that the NavierStokes equations are locally well-posed for smooth enough initial data as long as one imposes appropriate boundary… Expand

Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping

- I. Lasiecka, D. Tataru
- Mathematics
- 1993

A semilinear model of the wave equation with nonlinear boundary conditions and nonlinear boundary velocity feedback is considered. Under the assumption that the velocity boundary feedback is… Expand

On global existence and scattering for the wave maps equation

- D. Tataru
- Art, Mathematics
- 1 February 2001

<abstract abstract-type="TeX"><p>We prove global existence and scattering for the wave-maps equation in <i>n</i> + 1 dimensions, <i>n</i> = 2, 3, for initial data which is small in the… Expand

ON THE REGULARITY OF BOUNDARY TRACES FOR THE WAVE EQUATION

- D. Tataru
- Mathematics
- 1998

© Scuola Normale Superiore, Pisa, 1998, tous droits réservés. L’accès aux archives de la revue « Annali della Scuola Normale Superiore di Pisa, Classe di Scienze »… Expand

Renormalization and blow up for charge one equivariant critical wave maps

- J. Krieger, W. Schlag, D. Tataru
- Mathematics
- 7 October 2006

We prove the existence of equivariant finite time blow-up solutions for the wave map problem from ℝ2+1→S2 of the form $u(t,r)=Q(\lambda(t)r)+\mathcal{R}(t,r)$ where u is the polar angle on the… Expand

Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation

- D. Tataru
- Mathematics
- 1 April 2000

The aim of this article is threefold. First, we use the FBI transform to set up a calculus for partial differential operators with nonsmooth coefficients. Next, this calculus allows us to prove… Expand

Local and global results for wave maps I

- D. Tataru
- Mathematics
- 1998

We consider the initial value problem for wave-maps corresponding to constant coefficient second order hyperbolic equations in dimensions, . We prove that this problem is globally well-posed for… Expand

Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation

- D. Tataru
- Mathematics
- 23 October 2000

The aim of this article is twofold. First we consider the wave equation in the hyperbolic space HI and obtain the counterparts of the Strichartz type estimates in this context. Next we examine the… Expand

Carleman estimates and unique continuation for solutions to boundary value problems

- D. Tataru
- Mathematics
- 1996

Dispersive estimates for principally normal pseudodifferential operators

In this article we construct parametrices and obtain dispersive estimates for a large class of principally normal pseudodifferential operators. The main motivation for this comes from unique… Expand

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