Nick Thorpe
BBC News, Hungary border

Image source, EPA

Hungary is now the second country after Poland in terms of the numbers of Ukrainian refugees, with over 100,000 arriving since the invasion.

In the entrance hall of the primary school in Tiszbecs, a woman shouts out the names of Hungarian cities, with a strong Ukrainian accent. Hundreds of refugees, sheltering in the hall and neighbouring classrooms and the sports hall, listen intently.

Lifts by bus, minibus and car are provided for free. Volunteers and translators move through the throng, taking down the names and needs of those waiting.

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Each of the five border crossings from Ukraine has been allotted to a different charity.

This one is run by the Baptist Church. It’s warm and well organised, despite the high numbers, a turnover of 3,000 people a day, almost all women and children. Donations arrive every few minutes from all over country.

The authorities here fear this is just the beginning.

We reported earlier that it appears Russian troops have captured the southern city of Kherson.

It’s unclear what the exact situation is in Kherson, but local reports say that the Russian military is on the streets.

The city’s mayor, Igor Kolykhayev, had told local radio that Russian forces had captured the city’s railway station and port on Tuesday night, according to BBC Russian.

“The fighting is going on now, and the occupation of our city is under way.”

He said many people had died including Ukrainian soldiers and civilians, and government officials were now trying to make sure people could leave or get to shelters.

This video from our BBC Russian service shows the shelling and entry of Russian troops into the city.

Kherson, which has a population of almost 300,000, is located between Mykolaiv and New Kakhovka.

Russia’s strongest military advances so far have been in the south, where its forces from Crimea are targeting several Ukrainian cities including Odesa and Mykolaiv.

Mykolaiv officials have in the past hour stated that the city is still in Ukrainian hands.

More information is emerging about the reported battle between Ukrainian soldiers and Russian paratroopers at a military hospital in Kharkiv overnight.

Kharkiv Region Police Chief Volodymyr Tymoshko told reporters on Wednesday that no Ukrainian troops were killed in the gun battle.

"Currently the situation near the hospital is under control, security has been strengthened," he said, according to Ukrainian media.

The BBC has not been able to verify the latest reports out of Kharkiv, a predominantly Russian-speaking city of 1.5 million people.

Image source, Getty Images

Athletes from Russia and Belarus - accused of supporting the invasion on Ukraine - will no longer be allowed to compete in international skating competitions until further notice, the International Skating Union (ISU) said on Tuesday.

The ISU is the latest sporting federation to bar athletes from the two countries from participating in global sporting events.

In its statement, the ISU reiterated “its solidarity with all those affected by the conflict in Ukraine.”

The news comes as the world skating championships is due to take place in three weeks' time.

Russia is considered a heavyweight in the field of competitive skating, and most recently clinched five skating medals at the Beijing 2022 Winter Olympics that concluded last month. Russian athletes won a gold and silver in women’s singles, a silver and bronze in paired skating and a silver in ice dancing.

Morning is breaking in Ukraine after a night where Russian troops advanced on the two major cities of Kharkiv and Kyiv.

Elsewhere in the world, US President Joe Biden dedicated much of his State of the Union speech to the situation in Ukraine.

Here’s what’s happened overnight:

• Russian troops have parachuted into Kharkiv in the past hour, stepping up an attack on Ukraine’s second-largest city which saw dozens of civilian killings in bombings yesterday
• The smaller southern city of Kherson has also fallen to Russian forces, local Ukrainian officials say.
• US President Joe Biden has banned Russian planes from America’s airspace
• In his State of the Union address, the US president said: “Putin may circle Kyiv with tanks, but he will never gain the hearts and souls of the Ukrainian people”.
• Ukraine’s envoy to the US was given a standing ovation at the address. Oksana Markarova has relayed crucial information to US lawmakers this week – including the claim that Russia has used banned vacuum weapons in warfare
• More than 600,000 people have fled Ukraine so far says the UN
• Boeing and ExxonMobil became the latest Western companies to cut ties with Russia
• Meanwhile, the nation of Belarus, a Russian ally, has doubled its troops on Ukraine’s northern border. Russian forces in the north have been dedicated to the campaign on Kyiv.

The frontline cities of Kharkiv, Sumy and Mariupol are still holding out against the Russian invasion.

Kharkiv has come under particularly heavy attack, especially in recent hours, amid reports that paratroopers are currently fighting with Ukrainian soldiers at a regional military hospital.

Image source, Getty Images

Russian citizens can no longer leave the country with more than $10,000 (£7,500) in foreign currency on hand after President Putin made the declaration in a decree.

The order will go into effect from Wednesday.

It comes as sanctions by Western nations have crippled the Russian economy and tanked the value of the rouble.

Image source, Getty Images

Ukraine's military has confirmed earlier reports that Russian paratroopers had landed in Kharkiv in an effort to take the besieged city.

According to the Ukrainian military, the aerial assault began just as air raid sirens were starting to sound in Kharkiv and the surrounding region.

The statement adds that the Russian troops attacked a regional military hospital, and that fighting is ongoing.

It is currently just after 06:00 in the mostly Russian-speaking city.

Kharkiv has been the epicentre of much of the violence seen in Ukraine in recent days.

On Tuesday, a missile struck the local government headquarters of Ukraine's second-largest city around 08:00 local time, sending a massive fireball into the sky and burning cars and nearby buildings.

Another strike occurred later on Tuesday in one of Kharkiv's residential neighborhoods. Ukrainian President Zelensky later called the attack a war crime.

At least 17 people were killed in Kharkiv on Tuesday, and dozens wounded, according to emergency officials.

Some pundits have speculated that the artillery strikes on residential communities could be an effort by Russia to weaken the Ukrainian resolve to fight.

Image source, Getty Images

President Biden opened his State of the Union address with remarks on the situation in Ukraine.

His comments on the consequences Russia would face garnered applause and generally bipartisan support within the Congressional chamber, where he announced a ban on Russian flights in US airspace and promised to go after assets of oligarchs with Kremlin ties.

But officials from both parties have put pressure on the White House to go further with a ban on Russian oil imports. Senior Republicans tweeted criticism of Biden's speech, noting US importation of Russian oil amid the conflict.

Some Democrats are also calling for an import ban, while rejecting the calls to boost domestic fossil fuel production.

Russian paratroopers have landed in the northeast city of Kharkiv and attacked one of the city’s military hospitals, according to the Ukrainian Independent Information Agency and Ukrainian military officials.

The BBC has not been able to verify this claim.

It comes as witnesses say artillery bombardments have been stepped up in the city since Tuesday.

Earlier today, President Zelensky accused Moscow of "state terrorism" for its bombardment of Kharkiv.

Image source, Getty Images

Online shoppers in Russia have found that Nike has made its products unavailable for sale by website or app.

A notice on Nike's website on Tuesday says that deliveries to the country cannot be ensured. It directed customers to visit their nearest retail shop instead.

The decision is the latest move by US companies to punish Russia for its invasion of Ukraine.

Ukrainian Member of Parliament Lesia Vasylenko tweeted that the new restrictions from Nike, as well as Apple and Amazon, "are great examples of how private companies can impose sanctions against" Russia.

At Biden's primetime speech in Washington, the president recognised Ukraine's ambassador to the US - Oksana Markarova - a diplomat who has been in frequent contact with US members of Congress in recent days.

Biden also asked that every US lawmaker in attendance stand up to "send an unmistakable signal to Ukraine and the world" leading to an overwhelming standing ovation.

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President Biden began his State of the Union address with a heavy dose of foreign policy, touting his - and other nations' - moves to support Ukraine over the past seven days.

Here's what the US has committed so far:

• Release of $350m (£263m) worth of weapons to Ukraine
• Supplies worth $54m (£41m) in humanitarian assistance
• Removing selected Russian banks from the global Swift messaging system
• Restricting the Russian central bank from defending the rouble
• Joining a trans-Atlantic task force to freeze and seize oligarchs' assets
• Closing off US airspace to Russian owned and operated aircraft

The White House has also asked Congress for an additional $6.4bn (£4.8bn) in emergency assistance over the next few months.

However, Biden again emphasised that the US would not send troops to engage with Russians in Ukraine.

Image source, Getty Images

Never was there a better illustration of the alternative reality presented by Russian state media than at 17:00 GMT on Tuesday.

As BBC World News TV opened its bulletin with reports of a Russian attack on a TV tower in the capital Kyiv, Russian TV was announcing that Ukraine was responsible for strikes on its own cities.

So what are Russian TV viewers seeing of the war? What messages are they hearing over the airwaves?

Here's a snapshot of what ordinary Russians would have picked up, on Tuesday, 1 March, while channel-hopping across the country's key TV stations, which are controlled by the Kremlin and its corporate allies.

Watching the war on Russian TV - a whole different story

Image source, Getty Images

One of the world's largest aerospace manufacturers is cutting ties with its Russian partners.

Boeing announced on Tuesday it would suspend all major operations in Moscow.

The US airplane maker will no longer provide technical support or maintenance, or parts, for Russian aircraft.

On Monday, the company closed its office in Kyiv and halted its pilot training operations in Moscow.

A spokesperson said Boeing was "focused on ensuring the safety of our teammates in the region".

President Biden has confirmed his administration is blocking all Russian flights - commercial and private - from operating in US airspace.

The move follows on from similar measures imposed by European nations and Canada.

Biden says the ban will further isolate Russia and put more strain on its economy.

He notes the Russian rouble and stock market have already lost 30% and 40% of their value, respectively.

The president asks Americans "to draw inspiration from the iron will of the Ukrainian people".

"Putin may circle Kyiv with tanks, but he will never gain the hearts and souls of the Ukrainian people," he said.

Image source, get

In his Washington speech, President Biden has said that Vladimir Putin "alone is to blame" for the Ukrainian invasion and promised that the Russian leader "will pay a continuing high price over the long run".

Putin's regime is propped up by oligarchs and other corrupt officials "who have bilked [stolen] billions of dollars off this violent regime," he added, promising to work with European allies to seize Russian yachts, jets and other luxury items.

"We are coming for your ill-begotten gains," he said.

The US and EU have already released lists of oligarchs against whom sanctions have been introduced.

In the last few hours, reports have emerged that the southern city of Kherson has fallen to Russian troops. Local CCTV video shows Russian armoured vehicles and troops patrolling the streets.

Only about 15 miles northwest of Kyiv, the long convoy of Russian vehicles continues to wind its way towards the capital. Earlier today, a rocket attack on the country's largest TV tower killed five people.

In Kharkiv, witnesses say the Russians stepped up artillery attacks on the city.

President Zelensky called Tuesday's rocket attacks on the main square of the country's second-largest city “frank, undisguised terror".

"Nobody will forgive. Nobody will forget. This attack on Kharkiv is a war crime,” he said.

Officials say at least 11 people have died in Kharkiv, and dozens have been wounded.

Image source, Getty Images

President Biden says the US and Nato have shown that the West stands alongside Ukraine.

He says history has shown that "when dictators do not pay a price for their aggression, they cause more chaos".

Rebuking Russia's "premeditated and unprovoked" attack, Biden touts the coalition of "freedom-loving nations" that have stood with the US.

"Putin was wrong. We were ready," he says.

Image source, Getty Images

As the situation in Ukraine remains grave, President Joe Biden is delivering remarks on the Russian invasion as part of his State of the Union.

"Six days ago, Russia’s Vladimir Putin sought to shake the foundations of the free world, thinking he could make it bend to his menacing ways," he said.

"But he badly miscalculated".

He describes the Ukrainian people as "a wall of strength [Putin] never imagined".

Biden lauded his Ukrainian counterpart Volodymyr Zelensky and Ukrainian citizens for "their fearlessness, their courage, their determination, [which] inspires the world".

He asks the Ukrainian Ambassador to the US - sitting in the chamber - to stand and be recognised.

"Let each of us here tonight in this Chamber send an unmistakable signal to Ukraine and to the world," he said.