Existence of weak solutions to steady compressible magnetohydrodynamic equations

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• 作者：Qiu Meng¹ ; ^{mengqiu15@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：MHD equations ; Navier boundary conditions ; Dirichlet boundary conditions ; Weak solutions
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 March 2017
• 年：2017
• 卷：447
• 期：2
• 页码：1027-1050
• 全文大小：448 K

文摘

The three-dimensional equations of steady compressible magnetohydrodynamic non-isentropic flows are considered. A boundary value problem for the velocity and the temperature is studied in a bounded domain with arbitrarily large data. The existence of weak solutions to these equations is established under the assumption that the pressure P(ρ,θ)=c₁ρ^γ+c₂ρθ$P(\rho ,\theta )=c_1{\rho }^{\gamma }+c_2\rho \theta$ for $\gamma >\frac{7}{3}$.