Found 135 Documents (Results 1–100)
Local well-posedness of solutions to 2D mixed Prandtl equations in Sobolev space without monotonicity and lower bound. (English) Zbl 07916210
Reviewer: Dagmar Medková (Praha)
Global tangentially analytical solutions of the 3D axially symmetric Prandtl equations. (English) Zbl 07914168
Zero dissipation limit of the anisotropic Boussinesq equations with Navier-slip and Neumann boundary conditions. (English) Zbl 07908472
Hydrostatic approximation and optimal convergence rate for the second-grade fluid system. (English) Zbl 1541.35389
On the hydrostatic approximation of Navier-Stokes-Maxwell system with Gevrey data. (English. French summary) Zbl 1541.35347
Global well-posedness and regularity of weak solutions to the Prandtl’s system. (English) Zbl 1540.35111
Navier-Stokes equations in the half space with non compatible data. (English) Zbl 1541.76022
Reviewer: Piotr Biler (Wrocław)
On nonlinear instability of Prandtl’s boundary layers: the case of Rayleigh’s stable shear flows. (English. French summary) Zbl 1535.35134
Magneto-micropolar boundary layers theory in Sobolev spaces without monotonicity: well-posedness and convergence theory. (English) Zbl 1534.35323
Long time well-posedness of compressible magnetohydrodynamic boundary layer equations in Sobolev spaces. (English) Zbl 07818412
Reviewer: Stephen Wollman (New York)
Separation of the two-dimensional steady MHD boundary layer. (English) Zbl 1535.76031
Reviewer: Dagmar Medková (Praha)
Quantitative aspects on the ill-posedness of the Prandtl and hyperbolic Prandtl equations. (English) Zbl 07812535
Reviewer: Dagmar Medková (Praha)
On the global small solution of 2-D Prandtl system with initial data in the optimal Gevrey class. (English) Zbl 1539.35196
Reviewer: Dimitar A. Kolev (Sofia)
Global existence and decay estimates of solutions for the compressible Prandtl type equations with small analytic data. (English) Zbl 1533.35237
Well-posedness in Gevrey function space for the 3D axially symmetric MHD boundary layer equations without structural assumption. (English) Zbl 1532.35381
Higher regularity and asymptotic behavior of 2D magnetic Prandtl model in the Prandtl-Hartmann regime. (English) Zbl 1533.35272
Reviewer: Eugene Postnikov (Kursk)
Characteristic boundary layers in the vanishing viscosity limit for the Hunter-Saxton equation. (English) Zbl 1532.35390
Global regularity of solutions to the 2D steady compressible Prandtl equations. (English) Zbl 07919372
Long time well-posedness of two dimensional magnetohydrodynamic boundary layer equation without resistivity. (English) Zbl 1538.76212
The well posedness of solutions for the 2D magnetomicropolar boundary layer equations in an analytic framework. (English) Zbl 1530.76088
Reviewer: Panagiotis Koumantos (Athína)
Asymptotic stability of explicit infinite energy blowup solutions of the 3D incompressible Navier-Stokes equations. (English) Zbl 1527.35207
Gevrey-class-3 regularity of the linearised hyperbolic Prandtl system on a strip. (English) Zbl 1526.76015
Reviewer: Dagmar Medková (Praha)
Validity of steady Prandtl layer expansions. (English) Zbl 07749400
Reviewer: Dagmar Medková (Praha)
Local-in-time well-posedness theory for the inhomogeneous MHD boundary layer equations without resistivity in lower regular Sobolev space. (English) Zbl 1538.76214
Global small solutions of MHD boundary layer equations in Gevrey function space. (English) Zbl 1516.35343
A Kato-type criterion for the inviscid limit of the compressible Navier-Stokes system. (English) Zbl 1515.35191
Validity of Prandtl layer expansions for steady magnetohydrodynamics over a rotating disk. (English) Zbl 1511.76116
3D hyperbolic Navier-Stokes equations in a thin strip: global well-posedness and hydrostatic limit in Gevrey space. (English) Zbl 1538.35257
On back flow of boundary layers in two-dimensional unsteady incompressible heat conducting flow. (English) Zbl 1509.76025
On singularity formation for the two-dimensional unsteady Prandtl system around the axis. (English) Zbl 1501.35312
Global well-posedness of a Prandtl model from MHD in Gevrey function spaces. (English) Zbl 1513.76172
Well-posedness in Gevrey function space for 3D Prandtl equations without structural assumption. (English) Zbl 1498.35433
Magnetic effects on the solvability of 2D incompressible magneto-micropolar boundary layer equations without resistivity in Sobolev spaces. (English) Zbl 1504.35415
Global well-posedness of solutions to 2D Prandtl-Hartmann equations in analytic framework. (English) Zbl 1513.76125
Convergence rate of the vanishing viscosity limit for the Hunter-Saxton equation in the half space. (English) Zbl 1492.35022
Reviewer: Giuseppe Maria Coclite (Bari)
On the Euler\(+\)Prandtl expansion for the Navier-Stokes equations. (English) Zbl 1521.76081
Reviewer: Piotr Biler (Wrocław)
On the hydrostatic approximation of the MHD equations in a thin strip. (English) Zbl 1490.35350
Reviewer: Cheng He (Beijing)
Hydrostatic approximation of the 2D MHD system in a thin strip with a small analytic data. (English) Zbl 1483.76066
Local existence of solutions to 2D Prandtl equations in a weighted Sobolev space. (English) Zbl 1481.35343
Well-posedness in Sobolev spaces of the two-dimensional MHD boundary layer equations without viscosity. (English) Zbl 1479.35682
Local well-posedness of solutions to the boundary layer equations for compressible two-fluid flow. (English) Zbl 1496.35315
Verification of Prandtl boundary layer ansatz for steady electrically conducting fluids with a moving physical boundary. (English) Zbl 1473.76075
Gevrey stability of hydrostatic approximate for the Navier-Stokes equations in a thin domain. (English) Zbl 1479.35699
Global solvability of 2D MHD boundary layer equations in analytic function spaces. (English) Zbl 1476.35205
Boundary layer for 3D nonlinear parallel pipe flow of nonhomogeneous incompressible Navier-Stokes equations. (English) Zbl 1475.35229
Global existence and the decay of solutions to the Prandtl system with small analytic data. (English) Zbl 1472.35307
Well-posedness of the MHD boundary layer system in Gevrey function space without structural assumption. (English) Zbl 1472.35304
Singularities and unsteady separation for the inviscid two-dimensional Prandtl system. (English) Zbl 1470.35278
Boundary layer problems for the two-dimensional inhomogeneous incompressible magnetohydrodynamics equations. (English) Zbl 1461.76552
Stability of the boundary layer expansion for the 3D plane parallel MHD flow. (English) Zbl 1460.76925
Global small analytic solutions of MHD boundary layer equations. (English) Zbl 1461.35183
Reviewer: Gelu Paşa (Bucureşti)
Validity of Prandtl layer theory for steady magnetohydrodynamics over a moving plate with nonshear outer ideal MHD flows. (English) Zbl 1456.76148
On a global weak solution and back flow of the mixed Prandtl-Hartmann boundary layer problem. (English) Zbl 1455.76206
Local well-posedness of solutions to the boundary layer equations for 2D compressible flow. (English) Zbl 1453.76195
Global well-posedness of the 2-d magnetic Prandtl model in the Prandtl-Hartmann regime. (English) Zbl 1472.35288
Ill-posedness of the third order NLS with Raman scattering term in Gevrey spaces. (English) Zbl 1462.35358
Dörfler, Willy (ed.) et al., Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23–27, 2018. Cham: Birkhäuser. Trends Math., 219-233 (2020).
Well-posedness of thermal boundary layer equation in two-dimensional incompressible heat conducting flow with analytic datum. (English) Zbl 1440.76022
The three-dimensional inviscid limit problem with data analytic near the boundary. (English) Zbl 1446.35108
Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces. (English) Zbl 1445.76097
Boundary layer for 3D plane parallel channel flows of nonhomogeneous incompressible Navier-Stokes equations. (English) Zbl 1440.35233
The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary. (English) Zbl 1437.35539
Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions. (English) Zbl 1447.93024
Reviewer: Krishnan Balachandran (Coimbatore)
Blowup of solutions to the thermal boundary layer problem in two-dimensional incompressible heat conducting flow. (English) Zbl 1434.35068
On the classification of incompressible fluids and a mathematical analysis of the equations that govern their motion. (English) Zbl 1432.76075
Zero-viscosity limit of the Navier-Stokes equations with the Navier friction boundary condition. (English) Zbl 1435.35284
Back flow of the two-dimensional unsteady Prandtl boundary layer under an adverse pressure gradient. (English) Zbl 1435.35285
Zero-viscosity limit of the Navier-Stokes equations in a simply-connected bounded domain under the analytic setting. (English) Zbl 1429.35172
Symmetrical Prandtl boundary layer expansions of steady Navier-Stokes equations on bounded domain. (English) Zbl 1427.76231
Convergence of boundary layers for the Keller-Segel system with singular sensitivity in the half-plane. (English. French summary) Zbl 1428.35022
Reviewer: Piotr Biler (Wrocław)
Local well-posedness for linearized degenerate MHD boundary layer equations in analytic setting. (English) Zbl 1428.35380
Sobolev stability of Prandtl expansions for the steady Navier-Stokes equations. (English) Zbl 1428.35289
Reviewer: Zhigang Wu (Shanghai)
Uniform regularity for the incompressible Navier-Stokes system with variable density and Navier boundary conditions. (English) Zbl 1427.35214
Reviewer: Cheng He (Beijing)
Lifespan of solutions to MHD boundary layer equations with analytic perturbation of general shear flow. (English) Zbl 1414.76044
MHD boundary layers theory in Sobolev spaces without monotonicity. I: Well-posedness theory. (English) Zbl 1404.35492
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