OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES

• DOI: 10.1142/s021820250700208x
• Publication Date: 2007-05-10T10:41:29Z
• Authors: RENJUN DUAN; SEIJI UKAI; TONG YANG; HUIJIANG ZHAO
• Keywords: 0101 mathematics; 01 natural sciences

For the viscous and heat-conductive fluids governed by compressible Navier–Stokes equations with an external potential force, there exist non-trivial stationary solutions zero velocity. By combining L p - q estimates for linearized elaborate energy method, convergence rates are obtained in various norms solution to profile whole space when initial perturbation of force small some Sobolev norms. More precisely, optimal its first order derivatives 2 -norm 1 is bounded.