BIAS 发表于 2025-3-26 22:04:00
Fluid Equations,ee kind of bilinear forms for the Stokes and Navier-Stokes equations, variational formulations for the Navier-Stokes problems with mixed boundary conditions and establish the equivalence between the variational formulations and the original PDE problems.definition 发表于 2025-3-27 04:03:21
The Steady Navier-Stokes System,ed, types of boundary conditions under consideration together are different. The variational formulations in Sect. . do not reflect, for example, the boundary conditions for stress and pressure together, but this case is important in practice.heckle 发表于 2025-3-27 07:21:50
The Steady Boussinesq System,hlet, Neumann and Robin conditions together. We will get variational formulations consisting of a variational inequality for velocity and a variational equation for temperature, which are equivalent to the original PDE problems for smooth solutions.colostrum 发表于 2025-3-27 13:21:21
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The Non-steady Navier-Stokes System with Friction Boundary Conditions,inequalities obtained in Sect. .. In Sect. . using the results of Sect. ., we get the existence, uniqueness and estimates of solutions to the Navier-Stokes and Stokes problems with the boundary conditions.Notorious 发表于 2025-3-28 05:48:04
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The Steady Equations for Heat-Conducting Fluids,ect. ., we get variational formulations consisting of a variational inequality for velocity and a variational equation for temperature, which are equivalent to the original PDE problems for smooth solutions.CLAN 发表于 2025-3-28 11:56:09
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