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Communications on Pure & Applied Analysis

July 2012 , Volume 11 , Issue 4

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Introduction to the special issue on hydrodynamic model equations
Adrian Constantin and Joachim Escher
2012, 11(4): i-iii doi: 10.3934/cpaa.2012.11.4i +[Abstract](993) +[PDF](164.0KB)
Global weak solutions to the generalized Proudman-Johnson equation
Chien-Hong Cho and Marcus Wunsch
2012, 11(4): 1387-1396 doi: 10.3934/cpaa.2012.11.1387 +[Abstract](954) +[PDF](381.0KB)
Dispersion relations for periodic traveling water waves in flows with discontinuous vorticity
Adrian Constantin
2012, 11(4): 1397-1406 doi: 10.3934/cpaa.2012.11.1397 +[Abstract](903) +[PDF](365.6KB)
The geometry of a vorticity model equation
Joachim Escher, Boris Kolev and Marcus Wunsch
2012, 11(4): 1407-1419 doi: 10.3934/cpaa.2012.11.1407 +[Abstract](875) +[PDF](417.9KB)
Integrating factors and conservation laws for some Camassa-Holm type equations
Marianna Euler and Norbert Euler
2012, 11(4): 1421-1430 doi: 10.3934/cpaa.2012.11.1421 +[Abstract](896) +[PDF](310.3KB)
A note on uniqueness and compact support of solutions in a recent model for tsunami background flows
Anna Geyer
2012, 11(4): 1431-1438 doi: 10.3934/cpaa.2012.11.1431 +[Abstract](794) +[PDF](299.4KB)
On the integrability of KdV hierarchy with self-consistent sources
Vladimir S. Gerdjikov, Georgi Grahovski and Rossen Ivanov
2012, 11(4): 1439-1452 doi: 10.3934/cpaa.2012.11.1439 +[Abstract](673) +[PDF](409.9KB)
On the regularity of steady periodic stratified water waves
David Henry and Bogdan--Vasile Matioc
2012, 11(4): 1453-1464 doi: 10.3934/cpaa.2012.11.1453 +[Abstract](860) +[PDF](348.4KB)
On the formation of singularities for surface water waves
Vera Mikyoung Hur
2012, 11(4): 1465-1474 doi: 10.3934/cpaa.2012.11.1465 +[Abstract](949) +[PDF](317.5KB)
Elliptic and hyperelliptic functions describing the particle motion beneath small-amplitude water waves with constant vorticity
Delia Ionescu-Kruse
2012, 11(4): 1475-1496 doi: 10.3934/cpaa.2012.11.1475 +[Abstract](810) +[PDF](546.1KB)
A selection of nonlinear problems in water waves, analysed by perturbation-parameter techniques
R. S. Johnson
2012, 11(4): 1497-1522 doi: 10.3934/cpaa.2012.11.1497 +[Abstract](722) +[PDF](455.8KB)
On isolated vorticity regions beneath the water surface
Octavian G. Mustafa
2012, 11(4): 1523-1535 doi: 10.3934/cpaa.2012.11.1523 +[Abstract](894) +[PDF](404.3KB)
On particle trajectories in linear deep-water waves
Anca-Voichita Matioc
2012, 11(4): 1537-1547 doi: 10.3934/cpaa.2012.11.1537 +[Abstract](869) +[PDF](386.9KB)
Effects of shear flow on KdV balance - applications to tsunami
Raphael Stuhlmeier
2012, 11(4): 1549-1561 doi: 10.3934/cpaa.2012.11.1549 +[Abstract](904) +[PDF](358.2KB)
The 2-component dispersionless Burgers equation arising in the modelling of blood flow
Tony Lyons
2012, 11(4): 1563-1576 doi: 10.3934/cpaa.2012.11.1563 +[Abstract](863) +[PDF](358.3KB)
On the symmetry of steady periodic water waves with stagnation points
Gerhard Tulzer
2012, 11(4): 1577-1586 doi: 10.3934/cpaa.2012.11.1577 +[Abstract](777) +[PDF](377.7KB)

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