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 |
| Graham Cope | Georgia Tech C | Sewanee | 87 | 10 |
| Vinu Harihar | Berkeley B | Berkeley D | 87 | -5 |
| Sasha Tripathi | Chicago C | Indiana B | 87 | -5 |
| 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 |
| Amir Dolansky | Toronto E | McGill A | 94 | 10 |
| Krishna Girish | Montpellier | Cambridge 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 |
| Braxton Davis | Missouri A | Iowa State | 94 | 10 |
| Vikshar Athreya | Rutgers A | NYU C | 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 |
| Colin Veevers | Ottawa | UBC A | 99 | 10 |
| Peyton Legg | Central Florida B | Florida A | 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 |
| Dustin Sanders | Chicago D | Illinois C | 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 |
| 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 |
| 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 |
| Shiva Tequila | Central Florida A | Florida B | 104 | 10 |
| Abbott Sherwin | NC State A | North Carolina A | 104 | 10 |
| Athan Juritsch | Toronto G | Brock | 104 | 10 |
| Josh Schmidt | Liberty A | NC State B | 104 | 10 |
| Chris Yoo | William and Mary | Virginia Tech 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 |
| Alan Fan | Washington B | Minnesota A | 107 | 10 |
| Owen Gilroy | Texas B | Murray State A | 107 | 10 |
| Davin Sivertson | Alabama B | Kentucky | 107 | 10 |
| Alex Baker | Cambridge B | Oxford B | 107 | 10 |
| Teddy Fogel | Birmingham | Cardiff | 109 | 10 |
| Aryan Desarapu | Michigan B | Pittsburgh | 109 | 10 |
| Matthew Vidal | Northwestern D | Illinois B | 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 |
| Khanh Nguyen | Florida C | Central Florida C | 113 | 10 |
| Andrew Wang | Illinois A | Indiana 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 |
| Jay Misuk | Western C | Simon Fraser | 117 | 10 |
| Jack Lewis | Bruin | Louisville A | 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 |
| Noah Lee | Western A | Toronto Metropolitan | 127 | 10 |
| Rishabh Dave | Berkeley D | Berkeley B | 127 | 10 |
| Mason Lambert | James Madison A | North Carolina B | 127 | 10 |
| Alana Dickey | Indiana B | Chicago C | 127 | 10 |
| Winston Zuo | UC Santa Barbara | Arizona State | 127 | 10 |
| Peter Ballas | Michigan C | CWRU 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 |