With 'earth' I here mean not the planet earth, neíther the part thereof which is not covered by water.

Instead, I am using 'earth' following the Sibyl:

... the name [Vindler, one of the epithets of Heimdall] is a subform of vindill and comes from vinda, to twist or turn, wind, to turn anything around rapidly. As the epithet 'the turner' is given to that god who brought friction-fire (bore-fire) to man, and who is himself the personification of this fire, then it must be synonymous with 'the borer' ...

The Sibyl's prophecy does not end with the catastrophes, but it moves from the tragic to the lydic mode, to sing of the dawning of the new age:

Now do I see / the Earth anew / Rise all green / from the waves again ... / Then fields unsowed / bear ripened fruit / All ills grow better ...

A modern counterpart is when you have received the message 'Game over' and decides to play once more, a new game similar in general structure, yet quite uncertain as to its details. Interestingly, they anciently saw the new 'earth' as a result of the gods playing another game:

"What happens after (or happened, or will happen sometime, for this myth is written in the future tense), is told in the Völuspa, but it is also amplified in Snorri's Gylfaginning (53), a tale of a strange encounter of King Gylfi with the Aesir themselves, disguised as men, who do not reveal their identity but are willing to answer questions: 'What happens when the whole world has burned up, the gods are dead, and all of mankind is gone? You have said earlier, that each human being would go on living in this or that world.' So it is, goes the answer, there are several worlds for the good and the bad. Then Gylfi asks: 'Shall any gods be alive, and shall there be something of earth and heaven?' And the answer is:

'The earth rises up from the sea again, and is green and beautiful and things grow without sowing. Vidar and Vali are alive, for neither the sea nor the flames of Surt have hurt them and they dwell on the Eddyfield, where once stood Asgard. There come also the sons of Thor, Modi and Magni, and bring along his hammer. There come also Balder and Hoder from the other world. All sit down and converse together. They rehearse their runes and talk of events of old days. Then they find in the grass the golden tablets that the Aesir once played with.

Two children of men will also be found safe from the great flames of Surt. Their names, Lif and Lifthrasir, and they feed on the morning dew and from this human pair will come a great population which will fill the earth. And strange to say, the sun, before being devoured by Fenrir, will have borne a daughter, no less beautiful and going the same ways as her mother.'

Then, all at once, concludes Snorri's tale wryly, a thunderous cracking was heard from all sides, and when the King looked again, he found himself on the open plain and the great hall had vanished." (Hamlet's Mill)