Found 400 Documents (Results 1–100)
Analytical properties of nonlinear partial differential equations. With applications to shallow water models. (English) Zbl 07808162
CMS/CAIMS Books in Mathematics 10. Cham: Springer (ISBN 978-3-031-53073-9/hbk; 978-3-031-53076-0/pbk; 978-3-031-53074-6/ebook). xviii, 309 p. (2024).
Reviewer: Dimitar A. Kolev (Sofia)
MSC:
35Q35
35-02
76-02
76B15
76B25
76D05
37K10
37K15
37K35
35A20
35B06
68W30
35C08
35C07
82D55
35R35
34M55
35Q53
35Q55
Standing waves in a two-layer bounded liquid. (Ukrainian. English summary) Zbl 07909376
Multiresolution approximation for shallow water equations using summation-by-parts finite differences. (English) Zbl 1532.65071
A new Poisson-type equation applicable to the three-dimensional non-hydrostatic model in the framework of the discontinuous Galerkin method. (English) Zbl 1538.76112
Interfaces in incompressible flows. (English) Zbl 1520.35119
Reviewer: Yongqian Zhang (Shanghai)
Liouville-type results for the time-dependent three-dimensional (inviscid and viscous) water wave problem with an interface. (English) Zbl 1514.35361
Reviewer: Kulyash Kaliyeva (Almaty)
Comparative analysis of the analytical and numerical solution of the problem of thermocapillary convection in a rectangular channel. (English) Zbl 1537.76037
Extension of a Roe-type Riemann solver scheme to model non-hydrostatic pressure shallow flows. (English) Zbl 1511.76062
A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows. (English) Zbl 1503.65223
MSC:
65M60
65L06
65N30
65M12
76F10
76B15
76D05
76N06
76M10
74B20
74S05
80A19
35L02
35Q31
35Q30
35Q79
A comparative study of integral and coupled approaches for modeling hydraulic exchange processes across a rippled streambed. (English) Zbl 1508.76015
Global existence and decay rates of solutions to the viscous water-waves system. (English) Zbl 1496.35276
Assessment of one-way coupling methods from a potential to a viscous flow solver based on domain- and functional-decomposition for fixed submerged bodies in nonlinear waves. (English) Zbl 1495.76089
On the motion of gravity-capillary waves with odd viscosity. (English) Zbl 1490.35317
MSC:
35Q35
76A05
35Q31
76B15
76B45
35B40
35L75
35S10
35R35
76D03
81V70
35A01
35A02
65M70
65N35
65T50
65L06
Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass. (English) Zbl 1481.35330
On flow simplification occurring in viscous three-dimensional water flows with constant non-vanishing vorticity. (English) Zbl 1524.76161
Nonlinear Rayleigh-Taylor instability of the viscous surface wave in an infinitely deep ocean. arXiv:2211.14888
Preprint, arXiv:2211.14888 [math.AP] (2022).
Trapped modes and resonances for thin horizontal cylinders in a two-layer fluid. (English) Zbl 1524.76106
Effects of viscosity and surface tension on soliton dynamics in the generalized KdV equation for shallow water waves. (English) Zbl 1476.35207
A numerical and theoretical study of wind over fast-propagating water waves. (English) Zbl 1495.76115
Waves in flows. The 2018 Prague-sum workshop lectures, Prague, Czech Republic, August 27–31, 2018. (English) Zbl 1467.76003
Advances in Mathematical Fluid Mechanics. Cham: Birkhäuser (ISBN 978-3-030-68143-2/pbk; 978-3-030-68144-9/ebook). x, 263 p. (2021).
The linearised dam-break problem. (English) Zbl 1483.76004
Series on Analysis, Applications and Computation 8. Hackensack, NJ: World Scientific (ISBN 978-981-3223-87-5/hbk; 978-981-322-389-9/ebook). vi, 156 p. (2021).
Reviewer: Denys Dutykh (Chambéry)
High order finite difference/spectral methods to a water wave model with nonlocal viscosity. (English) Zbl 1463.65223
A two-dimensional method for a family of dispersive shallow water models. (English) Zbl 1452.65221
Reviewer: Marius Ghergu (Dublin)
Application of an unstructured finite volume method to the shallow water equations with porosity for urban flood modelling. (English) Zbl 1454.65096
Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 725-734 (2020).
Reviewer: Abdallah Bradji (Annaba)
High-order discontinuous Galerkin methods for coastal hydrodynamics applications. (English) Zbl 1441.76054
Numerical approximation of the 3D hydrostatic Navier-Stokes system with free surface. (English) Zbl 1434.65147
Models for damped water waves. (English) Zbl 1431.35126
Analysis of a simplified model of rigid structure floating in a viscous fluid. (English) Zbl 1428.35383
Large-time behavior of the spherically symmetric compressible Navier-Stokes equations with degenerate viscosity coefficients. (English) Zbl 1417.35094
Non-hydrostatic pressure shallow flows: GPU implementation using finite volume and finite difference scheme. (English) Zbl 1427.76160
Comparison of shallow water models for rapid channel flows. (English) Zbl 1461.76060
Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems II, Aachen, Germany, August 2016. Cham: Springer. Springer Proc. Math. Stat. 237, 605-616 (2018).
A hierarchy of dispersive layer-averaged approximations of Euler equations for free surface flows. (English) Zbl 1408.35136
A potential flow model with viscous dissipation based on a modified boundary element method. (English) Zbl 1404.76177
Derivation of a viscous KP equation including surface tension, and related equations. (English) Zbl 1408.76144
Well-posedness and analyticity of solutions to a water wave problem with viscosity. (English) Zbl 1406.35293
Reviewer: Vishnu Dutt Sharma (Mumbai)
Predicting the breaking strength of gravity water waves in deep and intermediate depth. (English) Zbl 1404.76039
Numerical analysis of a water wave model with a nonlocal viscous dispersive term using the diffusive approach. (English) Zbl 1397.35206
Vanishing viscosity limit of the rotating shallow water equations with far field vacuum. (English) Zbl 1378.35250
A source term approach for generation of one-way acoustic waves in the Euler and Navier-Stokes equations. (English) Zbl 1524.76394
Analysis of the linear version of a highly dispersive potential water wave model using a spectral approach in the vertical. (English) Zbl 1524.76167
Large scale ocean models beyond the traditional approximation. (English. French summary) Zbl 1390.35276
Relative entropy for compressible Navier-Stokes equations with density dependent viscosities and various applications. (English) Zbl 1387.35445
Digest of fluid dynamics. Reprint of the 2nd edition 1935. (Abriß der Strömungslehre.) (German) Zbl 1379.76002
Göttinger Klassiker der Strömungsmechanik 10. Göttingen: Universitätsverlag Göttingen (ISBN 978-3-86395-271-6/pbk). vi, 223 p. (2017).
Quasi-periodic water waves. (English) Zbl 1360.76046
Waves in continuous media. (English) Zbl 1364.76003
Lecture Notes in Geosystems Mathematics and Computing. Basel: Birkhäuser/Springer (ISBN 978-3-319-49276-6/pbk; 978-3-319-49277-3/ebook). viii, 141 p. (2017).
Reviewer: Fiazud Din Zaman (Dhahran)
Performance and scalability improvements for discontinuous Galerkin solutions to conservation laws on unstructured grids. (English) Zbl 1359.65195
Vanishing viscosity limit of the Navier-Stokes equations to the Euler equations for compressible fluid flow with far field vacuum. (English. French summary) Zbl 1364.35266
A Hamiltonian approach for nonlinear rotational capillary-gravity water waves in stratified flows. (English) Zbl 1364.35251
Reviewer: Dimitar A. Kolev (Sofia)
Rogue-wave solutions for an inhomogeneous nonlinear system in a geophysical fluid or inhomogeneous optical medium. (English) Zbl 1470.35294
A new two-layer Boussinesq model for coastal waves from deep to shallow water: derivation and analysis. (English) Zbl 1524.35541
The existence of global weak solutions to the shallow water wave model with moderate amplitude. (English) Zbl 1438.35376
Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation. (English) Zbl 1467.35282
Breather and double-pole solutions for the Benjamin-Ono equation in a stratified fluid. (English) Zbl 1378.76016
Variational treatment of inertia-gravity waves interacting with a quasi-geostrophic mean flow. (English) Zbl 1383.76112
Exact analytical solution of viscous Korteweg-de Vries equation for water waves. (English) Zbl 1361.37064
The pressure in a deep-water Stokes wave of greatest height. (English) Zbl 1347.35196
Reviewer: Qin Meng Zhao (Beijing)
Solitons and bilinear Bäcklund transformations for a \((3 + 1)\)-dimensional Yu-Toda-Sasa-Fukuyama equation in a liquid or lattice. (English) Zbl 1381.35158
Hamiltonian structure for rotational capillary waves in stratified flows. (English) Zbl 1341.35106
Reviewer: V. D. Sharma (Mumbai)
Exact expressions for transient forced internal gravity waves and spatially-localized wave packets in a Boussinesq fluid. (English) Zbl 1467.76017
Finite element formulation of general boundary conditions for incompressible flows. (English) Zbl 1423.76211
Variational multiscale a posteriori error estimation for systems: the Euler and Navier-Stokes equations. (English) Zbl 1423.76237
Modulational stability of weakly nonlinear wave-trains in media with small- and large-scale dispersions. (English) Zbl 1374.76031
A two-phase flow model for three-dimensional breaking waves over complex topography. (English) Zbl 1371.86018
A moist Boussinesq shallow water equations set for testing atmospheric models. (English) Zbl 1349.86044
A variational approach to optical flow estimation of unsteady incompressible flows. (English) Zbl 1342.76079
On the nonlinear perturbation \(K(n, m)\) Rosenau-Hyman equation: a model of nonlinear scattering wave. (English) Zbl 1375.35441
Maximum principle for optimal distributed control of viscous weakly dispersive Degasperis-Procesi equation. (English) Zbl 1335.35204
On the dispersion of waves in an elastic layer carrying the layer of a viscous fluid. (Russian. English summary) Zbl 1340.35246
Waves and compressible flow. 2nd edition. (English) Zbl 1339.76001
Texts in Applied Mathematics 47. Berlin: Springer (ISBN 978-1-4939-3379-2/hbk; 978-1-4939-3381-5/ebook). vii, 243 p. (2015).
Reviewer: Boris A. Malomed (Tel Aviv)
A penalization method for calculating the flow beneath traveling water waves of large amplitude. (English) Zbl 1321.35146
Reviewer: Alain Brillard (Riedisheim)
A semi-implicit numerical method for the free-surface Navier-Stokes equations. (English) Zbl 1455.65127
Influences of vorticity to vertical motion of two-dimensional moonpool under forced heave motion. (English) Zbl 1407.76085
Finite difference/spectral approximations to a water wave model with a nonlocal viscous term. (English) Zbl 1428.76149
Theoretical and experimental evidence of non-symmetric doubly localized rogue waves. (English) Zbl 1371.76031
Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2171, Article ID 20140318, 16 p. (2014).
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