The first match of the series down under witnessed India dominating the Aussies and taking a valuable 1-0 lead in the four-match series. Here is how the match panned out.Virat Kohli won the toss and elected to bat first on an Adelaide pitch which was expected to get better as the day progressed. India started their innings on a dismal note as both the openers perished early chasing balls wide of their reach. What followed was an absolute shock as the Indian captain, Virat Kohli, fell prey to an outstanding catch by Khawaja. Middle order failed again and India found themselves 127-6 with Pujara holding one end firmly. He formed a crucial partnership with Ashwin and played a few shots with the tail, taking India to a fighting total of 250 and in the process scoring magnificent innings of 123.Australia’s reply to India’s total started on a very poor note as Ishant Sharma cleaned up Finch off only the third delivery of the innings. Wickets at regular intervals ensured that Australia were never able to play freely and scored runs very slowly. It was only because of the rearguard action by Travis Head and the tale which ensured that they closed in on India’s first inning total and fell short only by 15 runs.India started their second innings cautiously with openers seeing off the first 10 overs. Once KL Rahul got his eye in, he flaunted his class alongside his wide range of shots and scored an important 44 runs. Both the openers again fell in quick succession but this time Pujara and Kohli built a valuable partnership with the later being dismissed on the brink of stumps on Day 3.Day 4 started with hope for Australia as they had Kohli back in the dugout and a fragile Indian middle order in front of them. But all hopes were put to rest and India’s no. 3 alongside India’s vice-captain scored a pivotal partnership of 87 runs and ensured that India had enough in the bank to give Australia a very tough fight. A late order collapse meant that India lost their last 5 wickets for just 59 runs and gave Australia a daunting target of 322 to win the match.Openers were again a disappointment from the Australian side. Their mainstay In Usman Khawaja also played a silly shot and went, leaving his team in more trouble. Then it was some sensible batting from the pair of Head and Marsh as they saw off the remaining day without gifting away any wickets to India.Day 5 started with Ishant picking up Travis Head early and soon after that Marsh fell to a peach from Bumrah. Australian captain, Tim Paine showed some intent and played a positive knock of 41 runs but he too fell victim to Bumrah. The tail tries showing some resistance but to no avail as India’s complete performance helped them take the early lead in the series.Let's see what the captains had to say:Tim Paine, Australian captain: It's pretty shattering really. Proud of the fight from the lower order. A well-deserved win for India. We thought we could win, no doubt about that, we saw how the pitch is playing and told ourselves we are gonna dig deep, but unfortunately, myself, Travis and Shaun couldn't bat long as long as we should have. That's (Pujara's innings) the difference between the two sides. Really hard to get him (Pujara) out. We gotta cope with the belief that we are going to win this Test series, we just need someone in our top six to go big. My finger is fineVirat Kohli, Indian captain: These things happen in Tests, ups and downs through a game. You need to just stay calm. Odds were stacked against them. They fought really well but we executed our plans well and got that last wicket which were intending to get. I wouldn't say I was cool as ice but you just don't try to show it. Jasprit was getting worked up in his last over but I just told him to relax. Super proud, to have four bowlers and take 20 wickets is a great achievement. Something that we haven't done in the past. Shows us batsmen that if we step up, we will be gunning for a win in every Test match. Collectively we were the better team and deserved to win. Priceless from Pujara, we were down and out at lunch on day 1. His grit and determination brought us back in it. We always knew that runs on the board would make a home side tentative. Any lead was gold and we got 15. In the second innings again, he and Rahane batted well. I think our lower middle order and lower order could have done better. We could have added another 30-35 runs more which could have taken the game totally beyond Australia. So these are things that we have to think about going to Perth but if someone had told me before the series that I would be 1-0 up as soon we started the series, I would have taken it with both hands.Here's how the world reacted:Sachin TendulkarWhat a way to start the series!#TeamIndia never released the pressure. Superb batting by @cheteshwar1 with crucial knocks in both innings, @ajinkyarahane88 in the 2nd innings and excellent contributions by our 4 bowlers. This has brought back memories of 2003. #INDvAUS pic.twitter.com/4gmviaKeCC— Sachin Tendulkar (@sachin_rt) December 10, 2018Virender SehwagTest Cricket is Best Cricket. Great fight by Australia in the end but India were too good. Winning after being 41-4 in first innings is a special effort. Outstanding Test match for Pujara and great effort from our bowlers. Promises to be a great series #AusvInd pic.twitter.com/PEYzKuBsap— Virender Sehwag (@virendersehwag) December 10, 2018Michael VaughanGREAT Test Match ... 2018 has been a tremendous year for the BEST format ... India deserved winners ... The celebrations of @imVkohli tell you everything ... I think we are In for a special series @FoxCricket ... Absolutely loved this week on air #Adelaide #AUSvIND— Michael Vaughan (@MichaelVaughan) December 10, 2018Irfan PathanGreat win by team India @BCCI. Bowlers have put their hands up and performed exceptionally. But one man made the difference in both the innings @cheteshwar1 just like Rahul bhai did years ago in the same ground 👏 #AUDvIND— Irfan Pathan (@IrfanPathan) December 10, 2018Boria MajumdarFinally!! That’s all there is to say!! What a match in the end!! 1-0 India.— Boria Majumdar (@BoriaMajumdar) December 10, 2018Jatin SapruAdelaide - Serving incredible memories to Indian fans since 2003 .. And once again it was the man at number 3 who laid the foundation for a memorable win.. Congratulations Team India .. #AusvInd 1-0 Boom— Jatin Sapru (@jatinsapru) December 10, 2018Harsha BhogleWins in Australia have been so rare that this match, a wonderful game of cricket, will long be remembered. Was a tough match and those are always more memorable— Harsha Bhogle (@bhogleharsha) December 10, 2018Aakash Chopra31 runs separating two teams in a battle fought over 5 days....can’t get better. For the first time India’s won the opening Test of a series Down Under. So happy for the boys... 😊👍🤘 #AusvInd @7Cricket— Aakash Chopra (@cricketaakash) December 10, 2018Bharath SeerviA Test victory in South AfricaA Test victory in EnglandA Test victory in AustraliaA special 2018 for Indian cricket team under Virat Kohli!— Bharath Seervi (@SeerviBharath) December 10, 2018Gautam Bhattacharya#AUDvIND India won quite deservingly..But Langer’s team will have gained in confidence post their 4th innings https://t.co/bB4vnVSfUm negate that a fifth bowler should be added in Perth .— Gautam Bhattacharya (@gbsaltlake) December 10, 2018Laxman SivaramakrishnanCongratulations to Team India on a grand win. I think there are areas where we can improve a great deal. Learning in victory is also very important. Brilliant from Pujara. Deserves MOM .#AdelaideTest— Laxman Sivaramakrishnan (@LaxmanSivarama1) December 10, 2018Ayaz MemomTense, engaging at all times, thoroughly enjoyable five days. Three cheers for Test cricket!— Cricketwallah (@cricketwallah) December 10, 2018Gaurav KapurAs a fan of test cricket, loved the drama of the last day. As an India fan, that last hour destroyed my heart rate😄👏👏🙌— Gaurav Kapur (@gauravkapur) December 10, 2018Sambit BalThis India win was built on many contributions, but Pujara and Bumrah were the real stars for me. Pujara kept India in the match, and Bumrah was the best bowler of the match.— Sambit Bal (@sambitbal) December 10, 2018