#### References

SHOWING 1-10 OF 41 REFERENCES

Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

- Mathematics
- 1950

Estimate of the Hölder norm of the solutions of second-order quasilinear elliptic equations of the general form

- Mathematics
- 1983

Nonuniqueness for the heat flow of harmonic maps on the disk

- Mathematics
- 2002

We prove that for suitable initial data the heat flow of harmonic maps, from the disk to the sphere, admits infinitely many solutions, characterised by “backward bubbling” at some arbitrarily large… Expand

Reverse Bubbling and Nonuniqueness in the Harmonic Map Flow

- Mathematics
- 2002

In this paper, we construct a new type of singularity which may occur in weak solutions of the harmonic map flow for two-dimensional domains. This “reverse bubbling” singularity may occur… Expand

EXISTENCE & SMOOTHNESS OF THE NAVIER–STOKES EQUATION

- 2000

Equation (1) is just Newton’s law f = ma for a fluid element subject to the external force f = (fi(x, t))1 i n and to the forces arising from pressure and friction. Equation (2) just says that the… Expand

Fefferman : Existence and smoothness of the Navier - Stokes equations

- 2000

On Partial Regularity of Suitable Weak Solutions to the Three-Dimensional Navier—Stokes equations

- Mathematics
- 1999

Abstract. We prove a criterion of local Hölder continuity for suitable weak solutions to the Navier—Stokes equations. One of the main part of the proof, based on a blow-up procedure, has quite… Expand

Ural ’ tseva : Linear and quasilinear equations of parabolic type

- J . Math . Fluid Mech .
- 1999