By the KSS bound, the ratio of eta to entropy density of these substances is lower bounded by one over 4pi. The stress-energy tensor of an ideal one of these substances is rho plus p times a product of 4-velocities plus p times the metric tensor. In the rest frame, a “perfect” one of these substances is parametrized by its isotropic pressure and energy density, and therefore has a diagonal stress-energy tensor. By definition, these substances have zero shear modulus, meaning they cannot undergo shear stress without deformation. Many Bose–Einstein condensates act like an idealized “super” one of these substances that move without dissipating energy. The Navier–Stokes equations are central equations in the “mechanics” of, for 10 points, what substances that can flow, including liquids and gases? ■END■
| California (North) | Main Site | Y | 3 | 100% | 0% | 67% | 95.67 |
| California (South) | Main Site | Y | 4 | 100% | 0% | 50% | 111.75 |
| Canada | Main Site | Y | 12 | 100% | 0% | 8% | 103.50 |
| Florida | Main Site | Y | 3 | 100% | 0% | 0% | 105.33 |
| Great Lakes | Main Site | Y | 5 | 100% | 0% | 40% | 105.80 |
| Lower Mid-Atlantic | Main Site | Y | 9 | 100% | 0% | 33% | 111.33 |
| Midwest | Main Site | Y | 7 | 100% | 0% | 14% | 95.71 |
| Overflow | Main Site | Y | 4 | 100% | 0% | 0% | 99.75 |
| South Central | Main Site | Y | 2 | 100% | 0% | 0% | 77.50 |
| Southeast | Main Site | Y | 7 | 100% | 0% | 14% | 99.00 |
| UK | Main Site | Y | 12 | 100% | 0% | 17% | 96.42 |
| Upper Mid-Atlantic | Main Site | Y | 8 | 100% | 0% | 25% | 104.38 |
| Upstate NY | Main Site | Y | 4 | 100% | 0% | 25% | 100.00 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Alex Akridge | Indiana A | Chicago E | 20 | 10 |
| Swapnil Garg | Berkeley A | Stanford A | 34 | 10 |
| Andrew Massaro | Catholic | Maryland C | 35 | -5 |
| Katie Farthing | Vanderbilt B | Tennessee A | 42 | -5 |
| Athena Shadden | Texas A | Texas A&M A | 48 | 10 |
| Kevin Ye | Simon Fraser | Western C | 55 | -5 |
| Delia Cropper | Oxford A | Edinburgh B | 63 | -5 |
| Gus Redding | Imperial B | Manchester | 64 | 10 |
| Caleb Ott | Waterloo A | Queen's | 70 | 10 |
| Abby Smith | Berkeley C | Stanford B | 71 | -5 |
| Oscar O'Flanagan | Imperial A | City St. George's | 71 | 10 |
| Hamish Campbell | Durham | UCL | 79 | 10 |
| Alex Thomas | Georgia Tech B | Tennessee B | 85 | 10 |
| Andrew Harms | Michigan State | Ohio State C | 86 | 10 |
| Mia Clark-Webb | Oxford C | Warwick A | 87 | 10 |
| Omkar Marathe | Columbia B | Maryland A | 87 | 10 |
| Ryan Rosenberg | NYU A | Georgetown | 87 | -5 |
| Kelvin Ni | NYU B | Johns Hopkins B | 87 | 10 |
| Vinu Harihar | Berkeley B | Berkeley D | 87 | -5 |
| Sasha Tripathi | Chicago C | Indiana B | 87 | -5 |
| Eli O'Sick Johnson | Binghamton B | RIT | 87 | 10 |
| Graham Cope | Georgia Tech C | Sewanee | 87 | 10 |
| Zachary Bornstein | Virginia Tech B | Wake Forest | 88 | -5 |
| Albert Nyang | LSE | Imperial C | 89 | -5 |
| Gary Lin | UCSD C | UCLA B | 94 | -5 |
| Pace Klein | CWRU A | Michigan A | 94 | 10 |
| Kabir Zaman | South Carolina B | Duke | 94 | 10 |
| Vikshar Athreya | Rutgers A | NYU C | 94 | 10 |
| Amir Dolansky | Toronto E | McGill A | 94 | 10 |
| Braxton Davis | Missouri A | Iowa State | 94 | 10 |
| Krishna Girish | Montpellier | Cambridge A | 94 | 10 |
| Jason Zhang | Toronto B | McMaster A | 96 | 10 |
| Roxanne Tang | Ohio State A | Ohio State B | 98 | -5 |
| Danny Fisher | Warwick B | Southampton B | 98 | 10 |
| Brandon Weiss | Columbia C | Johns Hopkins A | 98 | 10 |
| Jaiden Li | UCSD B | UC Irvine | 99 | 10 |
| Skand Parvatikar | Arizona State | UC Santa Barbara | 99 | -5 |
| Kaiwen Xiao | UCLA A | UCSD A | 99 | 10 |
| Peyton Legg | Central Florida B | Florida A | 99 | 10 |
| Julian Bushlow | Cornell A | Binghamton A | 99 | -5 |
| Dustin Sanders | Chicago D | Illinois C | 99 | 10 |
| Connor Blake | Chicago B | Notre Dame B | 99 | 10 |
| Alan Li | Cornell C | Rochester | 99 | 10 |
| Colin Veevers | Ottawa | UBC A | 99 | 10 |
| Arunn Sankar | Georgia Tech A | Carleton College | 99 | 10 |
| Akshay Seetharam | Claremont | Missouri B | 99 | 10 |
| Jackson Slaughter | Tennessee A | Vanderbilt B | 99 | 10 |
| John John Groger | WashU A | Louisville B | 99 | 10 |
| Monish Jampala | Georgia Tech D | WashU B | 99 | 10 |
| Jake Wingfield | Bristol | Cambridge C | 99 | 10 |
| Michael Wu | Southampton A | Edinburgh A | 99 | 10 |
| Sam Kung | North Carolina B | James Madison A | 100 | -5 |
| Kevin Le | Carleton University | Guelph | 101 | 10 |
| Neal Sengupta | North Carolina C | James Madison B | 101 | 10 |
| Ethen Sun | Toronto D | Toronto F | 101 | 10 |
| John Marvin | Chicago A | Northwestern C | 103 | 10 |
| Athan Juritsch | Toronto G | Brock | 104 | 10 |
| Shiva Tequila | Central Florida A | Florida B | 104 | 10 |
| Josh Schmidt | Liberty A | NC State B | 104 | 10 |
| Abbott Sherwin | NC State A | North Carolina A | 104 | 10 |
| Chris Yoo | William and Mary | Virginia Tech A | 104 | 10 |
| Pranaav Senthilkumar | Cornell B | Penn State | 104 | 10 |
| Katie Young | Liberty C | South Carolina A | 106 | -5 |
| Ben Hellman | Swarthmore | John Jay | 106 | 10 |
| Joyann Hua | UBC B | Waterloo B | 106 | 10 |
| Alex Baker | Cambridge B | Oxford B | 107 | 10 |
| Alan Fan | Washington B | Minnesota A | 107 | 10 |
| Owen Gilroy | Texas B | Murray State A | 107 | 10 |
| Davin Sivertson | Alabama B | Kentucky | 107 | 10 |
| Aryan Desarapu | Michigan B | Pittsburgh | 109 | 10 |
| Jason Lee | Rutgers B | Vassar | 109 | 10 |
| Matthew Vidal | Northwestern D | Illinois B | 109 | 10 |
| Teddy Fogel | Birmingham | Cardiff | 109 | 10 |
| Ariyan Miah | Binghamton A | Cornell A | 110 | 10 |
| Khanh Nguyen | Florida C | Central Florida C | 113 | 10 |
| Aditya Patnaik | Ohio State B | Ohio State A | 113 | 10 |
| Andrew Wang | Illinois A | Indiana C | 113 | 10 |
| Franklin Wu | Toronto C | McGill B | 113 | 10 |
| Angelo Pan | CWRU B | Michigan C | 114 | -5 |
| Dustin Vali | Western B | McMaster B | 114 | 10 |
| Caleb Slusher | South Carolina A | Liberty C | 117 | 10 |
| Jay Misuk | Western C | Simon Fraser | 117 | 10 |
| Jack Lewis | Bruin | Louisville A | 117 | 10 |
| Andrew Nucci | UCLA B | UCSD C | 122 | 10 |
| Hiten Umarnani | Imperial C | LSE | 123 | 10 |
| Fern Fang | VCU | Liberty B | 124 | 10 |
| Ryan Fang | Stanford B | Berkeley C | 126 | 10 |
| Winston Zuo | UC Santa Barbara | Arizona State | 127 | 10 |
| Peter Ballas | Michigan C | CWRU B | 127 | 10 |
| Mason Lambert | James Madison A | North Carolina B | 127 | 10 |
| Adam Holbrook | Wake Forest | Virginia Tech B | 127 | 10 |
| Ted Harrison | Edinburgh B | Oxford A | 127 | 10 |
| Ian Parsons | Maryland C | Catholic | 127 | 10 |
| Cole Hartung | Georgetown | NYU A | 127 | 10 |
| Rishabh Dave | Berkeley D | Berkeley B | 127 | 10 |
| Alana Dickey | Indiana B | Chicago C | 127 | 10 |
| Noah Lee | Western A | Toronto Metropolitan | 127 | 10 |