Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows

By Xianpeng Hu, Dehua Wang. 2009

386 citations recorded by the source corpus.

The three-dimensional equations of compressible magnetohydrodynamic isentropic flows are considered. An initial-boundary value problem is studied in a bounded domain with large data. The existence and large-time behavior of global weak solutions are established through a three-level approximation, energy estimates, and weak convergence for the adiabatic exponent $${\gamma > \frac 32}$$ and constant viscosity coefficients.

Subfields: Applied Mathematics, Computational Mechanics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/68f37dc6284a7df93bf1a2285f39d90f36e7432b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Song Jiang
2. Fucai Li
3. Qiangchang Ju
4. Xianpeng Hu
5. Dehua Wang
6. Eduard Feireisl

In Computational Mechanics

1. Xianpeng Hu
2. Song Jiang
3. Fucai Li
4. Qiangchang Ju
5. Dehua Wang
6. Eduard Feireisl

In Mathematical Physics

1. Song Jiang
2. Fucai Li
3. Qiangchang Ju
4. Xianpeng Hu
5. Dehua Wang
6. Eduard Feireisl

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.”
• Global Solutions to the Three-Dimensional Full Compressible Magnetohydrodynamic Flows (2008, methodology): “On the other hand, following the arguments of Section 5.3 in [ 16 ], one has”