PlanetMath (more info)
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35Qxx - Equations of mathematical physics and other areas of application

35Q05 - Euler-Poisson-Darboux equation and generalizations
35Q15 - Riemann-Hilbert problems
35Q30 - Stokes and Navier-Stokes equations
35Q35 - Other equations arising in fluid mechanics
35Q40 - Equations from quantum mechanics
35Q51 - Solitons
35Q53 - KdV-like equations (Korteweg-de Vries, Burgers, sine-Gordon, sinh-Gordon, etc.)
35Q55 - NLS-like (nonlinear Schrödinger) equations
35Q58 - Other completely integrable equations
35Q60 - Equations of electromagnetic theory and optics
35Q72 - Other equations from mechanics
35Q75 - PDE in relativity
35Q80 - Applications of PDE in areas other than physics
35Q99 - Miscellaneous
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