Here's a few bits of analysis from Russian anarchists:

First, from a branch of KRAS-IWA, a Russian anarchist group that is part of the IWA, the anarcho-syndicalist international. Taken from vivalafora.livejournal.com/64209.html

NO TO NEW CAUCASIAN WAR!

The eruption of military actions between Georgia and South Ossetia threatens to develop into a large-scale war between Georgia supported by NATO on the one hand, and the Russian state on the other. Thousands of people are already killed and wounded – principally, peaceful inhabitants; whole cities and settlements have been wiped out. The society has beed flooded with muddy streams of a nationalist and chauvinistic hysteria.

As always and everywhere in conflicts between the states, there is not and cannot be the righteous in new Caucasian war - there are only the guilty. The coals which have been fanned for years now have caused a military fire. The Saakashvili regime in Georgia keeps two thirds of population in poverty, and the greater internal discontent in the country this causes, the more it desires to find a way out from the deadlock in the form of a "small victorious war" in the hope, that it can write everything off. The government of Russia is full of determination to keep the hegemony in the Caucasus. Today they pretend to be the defender of weak, but their hypocrisy is abundantly clear: in fact, Saakashvili only repeats what the Putinist soldiery did in Chechnya 9 years ago. Ruling circles of both Ossetias and Abkhazia aspire to strengthen their role as exclusive allies of Russia in the region, and at the same time to rally the impoverished population around the tested torch of the "national idea" and "rescue the people". Leaders of the USA, the European states and NATO, on the contrary, wish to weaken the influence of their Russian rivals in the Caucasus as much as possible to provide to themselves with control over fuel resources and their transport. Thus, we became witnesses and victims of the next coil of world opposition in struggle for power, oil and gas.

This fight does not bring to working people - Georgians, Ossets, Abkhasians or Russians - anything, except for blood and tears, incalculable disasters and deprivation. We express our deep sympathy to the friends and relatives of the victims, to the people which have been left without a roof over their head and means of subsistence as a result of this war.

We shouldn't fall under the influence of nationalist demagogy which demands unity with "our" government, flying the flag of "protecting the homeland". The main enemy of the simple people is not the poor brothers and sisters on the other side of the border or of other nationality. Their enemie are the rulers and bosses of all kinds, presidents and ministers, businessmen and generals, those who generate wars for the sake of multiplying power and riches. We call on the working people in Russia, Ossetias, Abkhazia and Georgia to reject the bait of nationalism and patriotism and to turn the anger on rulers and the rich on both sides of the border.

Russian, Georgian, Ossetic and Abkhazian soldiers! Do not obey the orders of your commanders! Turn your weapon against those who sent you to war! Do not shoot the soldiers of your "opponent" - fraternize with them: a bayonet in the ground!

Working people in the rear! Sabotage military efforts, leave to go to meetings and demonstrations against the war, organize yourselves and strike against it!

No to the war and to its organizers - rulers and richmen! Yes to solidarity of working people across borders and the front lines!

Federation of Edication, Science and Technical Workers, CRAS-IWA

This declaration is open for signatures

Second, from Autonomous Action (automatic google translation): translate.google.com/translate

Lastly, some info about a demo against the war in Russia:

August 9, was held in Perm action against the wanton
Authorities bloody way to achieve their selfish goals - regular
Caucasian war. The idea came from shares of a member of Youth
Traffic - <Socialist Resistance>>. but to participate
in equities was suggested to all who against war, regardless of
political preferences.
At shares attracted some 40 people. Among them - activists
SotsSopr-Perm, StudZaschity, anarchists, zoozaschitniki, antifa, as well
however, those who came from purely pacifist considerations.

In the city centre, at the intersection of streets Popova and Lenin took action FNB
(<Food instead of bombs>>), distributed leaflets; other activists lit
candles. At the site was made poster <WAR WAR>>, which
attracted the attention of passers-by. The same idea was spontaneous
colorization of asphalt with chalk on one of the most popular in the city
footpaths appeared Antimilitaristic, anti-war and
anti-imperialist slogans: <<Indifference kills!>>, <No War
in South Ossetia>>, <Save the world!>>, <Politicians on stake!>>
<Stop killing people!>>, <International Solidarity>>. Just
signs were written addresses and sites SotsSopra "Autonomous Action",
to all wishing to find objective information about events,
occurring in the hot spots.

At night in different parts of the city appeared with anti-war graffiti AD-shnoy
symbolism.
Shares will continue. Yesterday, it was evident that many residents
the city before meeting with activists, are not represented
what is happening in neighbouring machines. Therefore piketchiki, at least,
have made that drew attention to the problem.

Indifference kills!