Found 30 Documents (Results 1–30)
Particle trajectories in a weakly nonlinear long-wave model on a shear flow. (English) Zbl 07856322
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Construction of the free-boundary 3D incompressible Euler flow under limited regularity. (English) Zbl 1536.35247
Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle. (English) Zbl 1527.35236
A structure preserving stochastic perturbation of classical water wave theory. (English) Zbl 1532.76026
Local-in-time existence of a free-surface 3D Euler flow with \(H^{2+\delta}\) initial vorticity in a neighborhood of the free boundary. (English) Zbl 1511.35264
Reviewer: Dejun Luo (Beijing)
Large-time existence for one-dimensional Green-Naghdi equations with vorticity. (English) Zbl 1515.76019
Reviewer: Fatma Gamze Duzgun (Ankara)
Normal mode decomposition and dispersive and nonlinear mixing in stratified fluids. (English) Zbl 1501.35293
Reviewer: Alain Brillard (Riedisheim)
A variational formulation for steady surface water waves on a Beltrami flow. (English) Zbl 1439.76014
Modeling shallow water waves. (English) Zbl 1442.35462
Strichartz estimates and the Cauchy problem for the gravity water waves equations. (English) Zbl 1447.35001
Memoirs of the American Mathematical Society 1229. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3203-4/pbk; 978-1-4704-4921-6/ebook). v, 108 p. (2018).
On the mathematical description of time-dependent surface water waves. (English) Zbl 1446.76079
Reviewer: Balswaroop Bhatt (St. Augustine)
A high-order spectral method for nonlinear water waves in the presence of a linear shear current. (English) Zbl 1390.76648
On the local existence and uniqueness for the 3D Euler equation with a free interface. (English) Zbl 1384.35074
The Cauchy problem on large time for the water waves equations with large topography variations. (English) Zbl 1359.35154
On the existence for the free interface 2D Euler equation with a localized vorticity condition. (English) Zbl 1351.35118
Cauchy theory for the gravity water waves system with non-localized initial data. (English) Zbl 1339.35227
Reviewer: V. D. Sharma (Mumbai)
The Kelvin-Helmholtz instabilities in two-fluids shallow water models. (English) Zbl 1331.35281
Guyenne, Philippe (ed.) et al., Hamiltonian partial differential equations and applications. Selected papers based on the presentations at the conference on Hamiltonian PDEs: analysis, computations and applications, Toronto, Canada, January 10–12, 2014. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-2949-8/hbk; 978-1-4939-2950-4/ebook). Fields Institute Communications 75, 185-234 (2015).
MSC:
35Q35
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