On the Weak Solutions to the Multicomponent Reactive Flows Driven by Non-conservative Boundary Conditions

被引：0
作者：
Bingkang Huang
机构：
[1] Hefei University of Technology,School of Mathematics
来源：
Journal of Mathematical Fluid Mechanics | 2024年 / 26卷
关键词：
Reactive flows; Weak solutions; Weak–strong uniqueness principle; Primary 35Q35; Secondary 35D30; 76N10;
D O I：
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摘要：
We propose a new concept of weak solutions to the multicomponent reactive flows driven by large boundary data. When the Gibbs’ equation incorporates the species mass fractions, we establish the global-in-time existence of weak solutions for any finite energy initial data. Moreover, if the classical solutions exist, the weak solutions coincide with them in the same time interval.
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  • [1] Abbatiello A(2021)Generalized solutions to models of compressible viscous fluids Discrete Contin. Dyn. Syst. 41 1-28
  • [2] Feireisl E(2005)Connection between stability, convexity of internal energy, and the second law for compressible Newtonian fuids J. Appl. Mech. 72 299-300
  • [3] Novotný A(2022)Navier–Stokes–Fourier system with Dirichlet boundary conditions Appl. Anal. 101 4076-4094
  • [4] Bechtel SE(2019)Compressible Navier–Stokes system with general inflow-out flow boundary data SIAM J. Math. Anal. 51 1238-1278
  • [5] Rooney FJ(2003)Global solutions to a model for exothermically reacting compressible flows with large discontinuous initial data Arch. Ration. Mech. Anal. 166 321-358
  • [6] Forest MG(2009)Gauss-Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws Commun. Pure Appl. Math. 62 242-304
  • [7] Chaudhuri N(2007)A multidimensional model for the combustion of compressible fluids Arch. Ration. Mech. Anal. 185 379-408
  • [8] Feireisl E(2006)On the motion of a viscous compressible radiative-reacting gas Commun. Math. Phys. 265 463-491
  • [9] Chang T(2012)Relative entropies in thermodynamics of complete fluid systems Discrete Contin. Dyn. Syst. Ser. A 32 3059-3080
  • [10] Jin BJ(2023)Mathematical theory of compressible magnetohydrodynamics driven by non-conservative boundary conditions J. Math. Fluid Mech. 25 27-1010
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