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 |
| Oscar O'Flanagan | Imperial A | City St. George's | 71 | 10 |
| Abby Smith | Berkeley C | Stanford B | 71 | -5 |
| Hamish Campbell | Durham | UCL | 79 | 10 |
| Alex Thomas | Georgia Tech B | Tennessee B | 85 | 10 |
| Andrew Harms | Michigan State | Ohio State C | 86 | 10 |
| Vinu Harihar | Berkeley B | Berkeley D | 87 | -5 |
| Sasha Tripathi | Chicago C | Indiana B | 87 | -5 |
| Graham Cope | Georgia Tech C | Sewanee | 87 | 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 |
| Eli O'Sick Johnson | Binghamton B | RIT | 87 | 10 |
| Zachary Bornstein | Virginia Tech B | Wake Forest | 88 | -5 |
| Albert Nyang | LSE | Imperial C | 89 | -5 |
| Braxton Davis | Missouri A | Iowa State | 94 | 10 |
| Krishna Girish | Montpellier | Cambridge A | 94 | 10 |
| Amir Dolansky | Toronto E | McGill A | 94 | 10 |
| 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 |
| Jason Zhang | Toronto B | McMaster A | 96 | 10 |
| Danny Fisher | Warwick B | Southampton B | 98 | 10 |
| Roxanne Tang | Ohio State A | Ohio State B | 98 | -5 |
| Brandon Weiss | Columbia C | Johns Hopkins A | 98 | 10 |
| Connor Blake | Chicago B | Notre Dame B | 99 | 10 |
| Arunn Sankar | Georgia Tech A | Carleton College | 99 | 10 |
| Akshay Seetharam | Claremont | Missouri B | 99 | 10 |
| Jake Wingfield | Bristol | Cambridge C | 99 | 10 |
| Michael Wu | Southampton A | Edinburgh A | 99 | 10 |
| Colin Veevers | Ottawa | UBC A | 99 | 10 |
| Dustin Sanders | Chicago D | Illinois C | 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 |
| 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 |
| Alan Li | Cornell C | Rochester | 99 | 10 |
| Sam Kung | North Carolina B | James Madison A | 100 | -5 |
| Ethen Sun | Toronto D | Toronto F | 101 | 10 |
| Kevin Le | Carleton University | Guelph | 101 | 10 |
| Neal Sengupta | North Carolina C | James Madison B | 101 | 10 |
| John Marvin | Chicago A | Northwestern C | 103 | 10 |
| Chris Yoo | William and Mary | Virginia Tech A | 104 | 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 |
| Pranaav Senthilkumar | Cornell B | Penn State | 104 | 10 |
| Joyann Hua | UBC B | Waterloo B | 106 | 10 |
| Katie Young | Liberty C | South Carolina A | 106 | -5 |
| Ben Hellman | Swarthmore | John Jay | 106 | 10 |
| Davin Sivertson | Alabama B | Kentucky | 107 | 10 |
| Alan Fan | Washington B | Minnesota A | 107 | 10 |
| Owen Gilroy | Texas B | Murray State A | 107 | 10 |
| Alex Baker | Cambridge B | Oxford B | 107 | 10 |
| Matthew Vidal | Northwestern D | Illinois B | 109 | 10 |
| Teddy Fogel | Birmingham | Cardiff | 109 | 10 |
| Aryan Desarapu | Michigan B | Pittsburgh | 109 | 10 |
| Jason Lee | Rutgers B | Vassar | 109 | 10 |
| Ariyan Miah | Binghamton A | Cornell A | 110 | 10 |
| Franklin Wu | Toronto C | McGill B | 113 | 10 |
| Andrew Wang | Illinois A | Indiana C | 113 | 10 |
| Khanh Nguyen | Florida C | Central Florida C | 113 | 10 |
| Aditya Patnaik | Ohio State B | Ohio State A | 113 | 10 |
| Dustin Vali | Western B | McMaster B | 114 | 10 |
| Angelo Pan | CWRU B | Michigan C | 114 | -5 |
| Jack Lewis | Bruin | Louisville A | 117 | 10 |
| Jay Misuk | Western C | Simon Fraser | 117 | 10 |
| Caleb Slusher | South Carolina A | Liberty C | 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 |
| Rishabh Dave | Berkeley D | Berkeley B | 127 | 10 |
| Adam Holbrook | Wake Forest | Virginia Tech B | 127 | 10 |
| Noah Lee | Western A | Toronto Metropolitan | 127 | 10 |
| Alana Dickey | Indiana B | Chicago C | 127 | 10 |
| Ted Harrison | Edinburgh B | Oxford A | 127 | 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 |
| Ian Parsons | Maryland C | Catholic | 127 | 10 |
| Cole Hartung | Georgetown | NYU A | 127 | 10 |