Almost sharp fronts for the surface quasi-geostrophic equation. (English) Zbl 1063.76011
Summary: We investigate the evolution of “almost sharp” fronts for the surface quasi-geostrophic equation. This equation was originally introduced in the geophysical context to investigate the formation and evolution of fronts, i.e., discontinuities between masses of hot and cold air. These almost sharp fronts are weak solutions of quasi-geostrophic with large gradient. We relate their evolution to the evolution of sharp fronts.
MSC:
| 76B99 | Incompressible inviscid fluids |
| 35Q80 | Applications of PDE in areas other than physics (MSC2000) |
| 76U05 | General theory of rotating fluids |
| 86A10 | Meteorology and atmospheric physics |
References:
| [1] | 7 pp 1495– (1994) · Zbl 0809.35057 · doi:10.1088/0951-7715/7/6/001 |
| [2] | PHYSICA D 98 pp 515– (1996) · Zbl 0899.76105 · doi:10.1016/0167-2789(96)00114-5 |
| [3] | PHYS FLUIDS 9 pp 876– (1997) · Zbl 1185.76841 · doi:10.1063/1.869184 |
| [4] | PHYS. LETT. A 241 pp 168– (1998) · Zbl 0974.76512 · doi:10.1016/S0375-9601(98)00108-X |
| [5] | PHYS REV E 60 pp 2858– (1999) · doi:10.1103/PhysRevE.60.2858 |
| [6] | 16 pp 479– (2003) · Zbl 1029.35006 · doi:10.1088/0951-7715/16/2/307 |
| [7] | J AM MATH SOC 15 pp 665– (2002) · Zbl 1013.76011 · doi:10.1090/S0894-0347-02-00394-6 |
| [8] | ANN MATH 148 pp 1135– (1998) · Zbl 0920.35109 · doi:10.2307/121037 |
| [9] | PNAS 101 (9) pp 2684– (2004) · Zbl 1063.76009 · doi:10.1073/pnas.0308158101 |
| [10] | COMMUN MATH PHYS 119 pp 177– (1988) · Zbl 0673.76025 · doi:10.1007/BF01217737 |
| [11] | J COMP PHYS 30 pp 96– (1979) · Zbl 0405.76014 · doi:10.1016/0021-9991(79)90089-5 |
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