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 |
| Eli O'Sick Johnson | Binghamton B | RIT | 87 | 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 |
| Zachary Bornstein | Virginia Tech B | Wake Forest | 88 | -5 |
| Albert Nyang | LSE | Imperial C | 89 | -5 |
| Amir Dolansky | Toronto E | McGill A | 94 | 10 |
| Vikshar Athreya | Rutgers A | NYU C | 94 | 10 |
| Gary Lin | UCSD C | UCLA B | 94 | -5 |
| Kabir Zaman | South Carolina B | Duke | 94 | 10 |
| Pace Klein | CWRU A | Michigan 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 |
| Danny Fisher | Warwick B | Southampton B | 98 | 10 |
| Brandon Weiss | Columbia C | Johns Hopkins A | 98 | 10 |
| Roxanne Tang | Ohio State A | Ohio State B | 98 | -5 |
| Colin Veevers | Ottawa | UBC A | 99 | 10 |
| Julian Bushlow | Cornell A | Binghamton A | 99 | -5 |
| Alan Li | Cornell C | Rochester | 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 |
| Dustin Sanders | Chicago D | Illinois C | 99 | 10 |
| Peyton Legg | Central Florida B | Florida 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 |
| 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 |
| Ethen Sun | Toronto D | Toronto F | 101 | 10 |
| Neal Sengupta | North Carolina C | James Madison B | 101 | 10 |
| John Marvin | Chicago A | Northwestern C | 103 | 10 |
| Athan Juritsch | Toronto G | Brock | 104 | 10 |
| Pranaav Senthilkumar | Cornell B | Penn State | 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 |
| Shiva Tequila | Central Florida A | Florida B | 104 | 10 |
| Joyann Hua | UBC B | Waterloo B | 106 | 10 |
| Ben Hellman | Swarthmore | John Jay | 106 | 10 |
| Katie Young | Liberty C | South Carolina A | 106 | -5 |
| 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 |
| Jason Lee | Rutgers B | Vassar | 109 | 10 |
| Aryan Desarapu | Michigan B | Pittsburgh | 109 | 10 |
| Matthew Vidal | Northwestern D | Illinois B | 109 | 10 |
| Teddy Fogel | Birmingham | Cardiff | 109 | 10 |
| Ariyan Miah | Binghamton A | Cornell A | 110 | 10 |
| Franklin Wu | Toronto C | McGill B | 113 | 10 |
| Aditya Patnaik | Ohio State B | Ohio State A | 113 | 10 |
| Andrew Wang | Illinois A | Indiana C | 113 | 10 |
| Khanh Nguyen | Florida C | Central Florida C | 113 | 10 |
| Dustin Vali | Western B | McMaster B | 114 | 10 |
| Angelo Pan | CWRU B | Michigan C | 114 | -5 |
| 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 |
| 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 |
| Winston Zuo | UC Santa Barbara | Arizona State | 127 | 10 |
| Mason Lambert | James Madison A | North Carolina B | 127 | 10 |
| Adam Holbrook | Wake Forest | Virginia Tech B | 127 | 10 |
| Alana Dickey | Indiana B | Chicago C | 127 | 10 |
| Noah Lee | Western A | Toronto Metropolitan | 127 | 10 |
| Peter Ballas | Michigan C | CWRU B | 127 | 10 |