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 |
| Sasha Tripathi | Chicago C | Indiana B | 87 | -5 |
| Graham Cope | Georgia Tech C | Sewanee | 87 | 10 |
| Kelvin Ni | NYU B | Johns Hopkins B | 87 | 10 |
| Vinu Harihar | Berkeley B | Berkeley D | 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 |
| 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 |
| Gary Lin | UCSD C | UCLA B | 94 | -5 |
| Amir Dolansky | Toronto E | McGill A | 94 | 10 |
| 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 |
| 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 |
| Colin Veevers | Ottawa | UBC A | 99 | 10 |
| Dustin Sanders | Chicago D | Illinois C | 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 |
| Alan Li | Cornell C | Rochester | 99 | 10 |
| Peyton Legg | Central Florida B | Florida A | 99 | 10 |
| Connor Blake | Chicago B | Notre Dame B | 99 | 10 |
| Jake Wingfield | Bristol | Cambridge C | 99 | 10 |
| Michael Wu | Southampton A | Edinburgh A | 99 | 10 |
| Julian Bushlow | Cornell A | Binghamton A | 99 | -5 |
| 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 |
| Josh Schmidt | Liberty A | NC State B | 104 | 10 |
| Chris Yoo | William and Mary | Virginia Tech A | 104 | 10 |
| Shiva Tequila | Central Florida A | Florida 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 |
| 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 |
| 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 |
| 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 |
| 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 |
| Winston Zuo | UC Santa Barbara | Arizona State | 127 | 10 |
| Noah Lee | Western A | Toronto Metropolitan | 127 | 10 |
| Peter Ballas | Michigan C | CWRU B | 127 | 10 |
| Adam Holbrook | Wake Forest | Virginia Tech B | 127 | 10 |
| Alana Dickey | Indiana B | Chicago C | 127 | 10 |
| Rishabh Dave | Berkeley D | Berkeley B | 127 | 10 |
| Mason Lambert | James Madison A | North Carolina 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 |