Found 56 Documents (Results 1–56)
Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics. (English) Zbl 07880474
Global well-posedness of stochastic 3D primitive equations with anticipating initial data. (English) Zbl 1542.35310
Nonuniqueness of generalised weak solutions to the primitive and Prandtl equations. (English) Zbl 07875091
Reviewer: Ming Xu (Guangzhou)
Rigorous justification of the hydrostatic approximation limit of viscous compressible flows. (English) Zbl 1542.35324
The horizontal magnetic primitive equations approximation of the anisotropic MHD equations in a thin 3D domain. (English) Zbl 1541.35356
Global existence of the strong solution to the climate dynamics model with topography effects and phase transformation of water vapor. (English) Zbl 1535.35147
Global well-posedness of strong solutions to the primitive equations without vertical diffusivity. (English) Zbl 1534.35402
Global well-posedness of the 3D primitive equations with only horizontal eddy diffusivity and delays in both convective and heat source terms. (English) Zbl 1538.35305
An overview of the dynamic framework in earth-system model and its well-posedness. (English) Zbl 1529.35518
On energy conservation for the hydrostatic Euler equations: an Onsager conjecture. (English) Zbl 1526.76007
Reviewer: Raphaël Danchin (Paris)
Blow-up criterion of solutions of the horizontal viscous primitive equations with horizontal eddy diffusivity. (English) Zbl 1529.35523
Global existence and asymptotic stability of the free boundary problem of the primitive equations with heat insulation. (English) Zbl 1519.35335
Local existence and uniqueness of strong solution to the inhomogeneous primitive equations with vacuum. (English) Zbl 1515.35213
MSC:
35Q35
Global well-posedness for the thermodynamically refined passively transported nonlinear moisture dynamics with phase changes. (English) Zbl 1528.35119
Reviewer: Roberta Bianchini (Roma)
Finite-time blowup for the 2-D viscous primitive equations of ocean and atmosphere dynamic. (English) Zbl 1516.35348
On the rigorous mathematical derivation for the viscous primitive equations with density stratification. (English) Zbl 1524.35473
Rigorous derivation of the full primitive equations by the scaled Boussinesq equations with rotation. (English) Zbl 1512.35483
Local well-posedness of strong solution to a climate dynamic model with phase transformation of water vapor. (English) Zbl 1508.35083
Global well-posedness of \(z\)-weak solutions to the primitive equations without vertical diffusivity. (English) Zbl 1507.35189
The strong solutions to the primitive equations coupled with multi-phase moisture atmosphere. (English) Zbl 1496.86015
Incompressible limit of the compressible primitive equations with gravity: well-prepared initial data. (English) Zbl 1497.35360
The primitive equations approximation of the anisotropic horizontally viscous \(3D\) Navier-Stokes equations. (English) Zbl 1477.35126
Local existence and uniqueness of strong solutions to the two dimensional compressible primitive equations with density-dependent viscosity. (English) Zbl 1485.35120
Reviewer: Ilya A. Chernov (Petrozavodsk)
Global well-posedness of the ocean primitive equations with nonlinear thermodynamics. (English) Zbl 1479.35674
The exponential behavior of 3D stochastic primitive equations driven by fractional noise. (English) Zbl 1471.60102
Local well-posedness of strong solutions to the three-dimensional compressible primitive equations. (English) Zbl 1472.35393
Global well-posedness of strong solutions to the 2D nonhomogeneous incompressible primitive equations with vacuum. (English) Zbl 1466.35347
Local existence and uniqueness of strong solutions to the two dimensional nonhomogeneous incompressible primitive equations. (English) Zbl 1513.35457
MSC:
35Q35
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity. (English) Zbl 1484.35315
Existence of a strong solution to moist atmospheric equations with the effects of topography. (English) Zbl 1499.76085
Zero Mach number limit of the compressible primitive equations: well-prepared initial data. (English) Zbl 1446.35133
On the well-posedness of reduced \(3D\) primitive geostrophic adjustment model with weak dissipation. (English) Zbl 1440.35263
Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes. (English) Zbl 1447.35267
Reviewer: Piotr Biler (Wrocław)
Global existence of weak solutions to 3D compressible primitive equations with degenerate viscosity. (English) Zbl 1434.35066
Global well-posedness for the 3D primitive equations in anisotropic framework. (English) Zbl 1433.35268
Global existence of weak solutions to the compressible primitive equations of atmospheric dynamics with degenerate viscosities. (English) Zbl 1419.35150
Decay rate of unique global solution for a class of 2D tropical climate model. (English) Zbl 1420.35427
The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation. (English. French summary) Zbl 1412.35224
Random attractor for the 3D viscous primitive equations driven by fractional noises. (English) Zbl 1418.60089
Finite dimensionality of global attractor for the solutions to 3D viscous primitive equations of large-scale moist atmosphere. (English) Zbl 1406.35278
Uniqueness of the global weak solutions to 2D compressible primitive equations. (English) Zbl 1406.35281
Reviewer: Ilya A. Chernov (Petrozavodsk)
Finite-time blowup for the 3-D primitive equations of oceanic and atmospheric dynamics. (English) Zbl 1378.35049
Existence of a strong solution and trajectory attractor for a climate dynamics model with topography effects. (English) Zbl 1375.35561
Global well-posedness for passively transported nonlinear moisture dynamics with phase changes. (English) Zbl 1379.35325
Reviewer: Thomas Ernst (Uppsala)
Global well-posedness of three-dimensional Navier-Stokes equations with partial viscosity under helical symmetry. (English) Zbl 1375.35323
Existence and non-uniqueness of global weak solutions to inviscid primitive and Boussinesq equations. (English) Zbl 1373.35238
Reviewer: Thomas Ernst (Uppsala)
Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data. (English) Zbl 1366.35123
Existence and uniqueness of weak solutions to viscous primitive equations for a certain class of discontinuous initial data. (English) Zbl 1364.35275
Global strong \(L^{p}\) well-posedness of the 3D primitive equations with heat and salinity diffusion. (English) Zbl 1351.35139
Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion. (English) Zbl 1351.35125
Reviewer: Alain Brillard (Riedisheim)
Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces. (English) Zbl 1350.35155
Reviewer: Vladimir Mityushev (Kraków)
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