Global Solutions to the Three-Dimensional Full Compressible Magnetohydrodynamic Flows

By Xianpeng Hu, Dehua Wang. 2008

273 citations recorded by the source corpus.

The equations of the three-dimensional viscous, compressible, and heat conducting magnetohydrodynamic flows are considered in a bounded domain. The viscosity coefficients and heat conductivity can depend on the temperature. A solution to the initial-boundary value problem is constructed through an approximation scheme and a weak convergence method. The existence of a global variational weak solution to the three-dimensional full magnetohydrodynamic equations with large data is established.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/42f04d4ae9c368e505adf8ac1ad9656adcdec865

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In Applied Mathematics

1. Song Jiang
2. Fucai Li
3. Qiangchang Ju
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In Mathematical Physics

1. Song Jiang
2. Fucai Li
3. Qiangchang Ju
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Citations in the corpus

• Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Periodic Boundary Conditions (2009, methodology): “[9] X. Hu, D. Wang, Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows, Arch.”
• Serrin-Type Blowup Criterion for Viscous, Compressible, and Heat Conducting Navier-Stokes and Magnetohydrodynamic Flows (2012, unknown): “27), it holds that for q ∈ [2, 12] and 0 ≤ T < T ∗, ‖H‖L∞(0,T ;Lq ) + ∫ T”