Question: How was the Republic of Kawait formed?

Context paragraphs:
Udmurt Autonomous Soviet Socialist Republic: The Udmurt Autonomous Soviet Socialist Republic (Udmurt: Удмурт Автономной Советской Социалистической Республика "Udmurt Avtonomnoj Sovetskoj Socialistićeskoj Respublika" ; Russian: Удмуртская Автономная Советская Социалистическая Республика , "Udmurtskaya Avtonomnaya Sovetskaya Sotsialisticheskaya Respublika") was an autonomous republic of the Soviet Union, named after the Udmurt people.  It was formed on 4 November 1920 as the Votyak Autonomous Oblast ("Votyak" is an obsolete name for Udmurts, "Vot" being the obsolete name for Udmurt people) and renamed as the Udmurt Autonomous Oblast in 1932.  On 28 December 1934, the oblast was renamed the Udmurt Autonomous Soviet Socialist Republic, but did not become a full member of the Russian Soviet Federative Socialist Republic until 1936.

Republic of Letters: The Republic of Letters ("Respublica literaria") is the long-distance intellectual community in the late 17th and 18th centuries in Europe and America.  It fostered communication among the intellectuals of the Age of Enlightenment, or "philosophes" as they were called in France.  The Republic of Letters emerged in the 17th century as a self-proclaimed community of scholars and literary figures that stretched across national boundaries but respected differences in language and culture.  These communities that transcended national boundaries formed the basis of a metaphysical Republic.  Because of societal constraints on women, the Republic of Letters consisted mostly of men.  As such, many scholars use "Republic of Letters" and "men of letters" interchangeably.

Government of the Republic of China: The Government of the Republic of China was formally established in 1912 in Nanking, with Sun Yat-sen as President of the Provisional Government of the Republic of China under the Provisional Constitution of the Republic of China.  This government moved to Beijing in the same year with Yuan Shikai as President, and continued under his successors as the internationally recognized government of China until 1928.  In the Republican period, there were a series of governments, sometimes in rivalry with each other.  The Nationalist government, led by the Kuomintang (KMT), was originally formed as a rival military government under Sun Yat-sen in Guangzhou in 1917.  After Sun's death in 1925, Chiang Kai-shek led the Northern Expedition (1926–1928) to unify the country and established the capital in Nanjing.  This government gained diplomatic recognition but did not control all the territory of the Qing dynasty.  The essentially one-party rule functioned under Sun's Three Principles of the People, which provided for a transitional period of "tutelage", but drew more political parties, including the Communist Party of China into a United Front during the Second Sino-Japanese War (1937-1945).  The Tutelage Constitution of 1931 was replaced by the Constitution of the Republic of China in 1947.

Socialist Republic of Croatia: The Socialist Republic of Croatia () was a constituent republic of Yugoslavia.  By its constitution, modern-day Croatia is its direct continuation.  Along with five other Yugoslav republics, it was formed during World War II and became a socialist republic after the war.  It had four full official names during its 48-year existence (see below).  By territory and population, it was the second largest republic in Yugoslavia, after the Socialist Republic of Serbia.

Gulf War: The Gulf War (2 August 199028 February 1991), codenamed Operation Desert Shield (2 August 199017 January 1991) for operations leading to the buildup of troops and defence of Saudi Arabia and Operation Desert Storm (17 January 199128 February 1991) in its combat phase, was a war waged by coalition forces from 35 nations led by the United States against Iraq in response to Iraq's invasion and annexation of Kuwait.

Donetsk People's Republic: The Donetsk People's Republic (DPR or DNR) (Russian: Доне́цкая Наро́дная Респу́блика , "Donétskaya Naródnaya Respúblika"; ] , Ukrainian: Донецька Народна Республіка , "Donets'ka Narodna Respublika ") is a self-proclaimed state in the Donetsk Oblast of Ukraine.  It has been recognized only by the partially recognized Republic of South Ossetia.  It receives humanitarian and military backing from Russia.  The Ukrainian government has designated it as a terrorist organization and it is at war with Ukraine, alongside the Luhansk People's Republic (LPR).  It formed an unrecognized confederation of Novorossiya, referencing the corresponding historical region and its name with the also unrecognized LPR until its 20 May 2015 suspension, and since February 2015 has postured itself as the successor to the historic Donetsk–Krivoy Rog Soviet Republic.  Along with the Luhansk People's Republic and the Autonomous Republic of Crimea, the Donetsk People's Republic is considered one of three temporarily occupied territories of Ukraine as a result of Russian military intervention of 2014.

Republic of Kuwait: The Republic of Kuwait was a short-lived and self-styled republic formed in the aftermath of the invasion of Kuwait by Ba'athist Iraq during the early stages of the Persian Gulf War.  During the invasion, the Iraqi Revolutionary Command Council stated that it had sent troops into the State of Kuwait in order to assist an internal coup d'état initiated by "Kuwaiti revolutionaries."  A Provisional Government of Free Kuwait was set up on August 4 by the Iraqi authorities under the leadership of 9 allegedly Kuwaiti military officers (4 colonels and 5 majors) led by Alaa Hussein Ali, who was given the posts of Head of State ("Rais al-Wuzara"), commander-in-chief, minister of defense and minister of the interior.

Gorno-Altai Autonomous Soviet Socialist Republic: The Gorno-Altai Autonomous Soviet Socialist Republic (Russian: Горно-Алтайская Автономная Советская Социалистическая Республик ) was an autonomous republic within the Russian Socialist Federative Soviet Republic of the Soviet Union.  It was formed on 1 June 1922 as the Oyrot Autonomous Region and became the Gorno-Altai Autonomous Oblast on 7 January 1948.  It was upgraded to the level of Autonomous Soviet Socialist Republic on 25 October 1990, and was declared a Soviet Socialist Republic on 3 July 1991, although it was not recognised as one.  It became the Altai Republic on 31 March 1992.  Its capital was Gorno-Altaysk.  Agriculture is the main occupation for most of the inhabitants.  Like the modern Altai Republic, the Gorno-Altai ASSR shared its international border with the People's Republic of China.

Republic of Aras: The Republic of Aras (Azerbaijani: "Araz Respublikası" ; also known as the Republic of Araks or the Araxi Republic) was a short-lived and unrecognized state in the South Caucasus, roughly corresponding with the territory that is now the Nakhchivan Autonomous Republic of Azerbaijan.  Named after the Aras River that formed its southern border, the republic was declared in December 1918 by Jafargulu Khan Nakhchivanski with support from the Azerbaijan Democratic Republic's ruling party, the Musavat Party, and the government of the Ottoman Empire.

Socialist Soviet Republic of Abkhazia: The Socialist Soviet Republic of Abkhazia (SSR Abkhazia; Abkhaz: Социалисттә Советтә Республика Аҧсны , ССР Аҧсны; Russian: Социалистическая Советская Республика Абхазия , ССР Абхазия; "Sotsialisticheskaya Sovetskaya Respublika Abkhaziya "), was a short-lived republic within the Soviet Union that covered the territory of Abkhazia.  It existed from 31 March 1921 to 19 February 1931.  Formed in the aftermath of the Red Army invasion of Georgia in 1921, it was independent until 16 December 1921, when it agreed to a treaty uniting it with the Georgian Soviet Socialist Republic (Georgian SSR).  It was unique among autonomous Soviet states in having "de facto" independence from Georgia.  Through its status as a so-called "treaty republic" with Georgia, Abkhazia joined the Transcaucasian Soviet Federative Socialist Republic when it was formed in 1922.  The SSR Abkhazia was abolished in 1931 and transformed into the Abkhaz Autonomous Soviet Socialist Republic within the Georgian SSR.

Supporting paragraphs: Republic of Kuwait Gulf War
Answer: the aftermath of the invasion of Kuwait by Ba'athist Iraq during the early stages of the Persian Gulf War.