Titlebook: Mathematics of Open Fluid Systems; Eduard Feireisl,Antonin Novotny Book 2022 The Editor(s) (if applicable) and The Author(s), under exclus

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書目名稱Mathematics of Open Fluid Systems被引頻次學(xué)科排名




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螢火蟲

Existence Theory, Basic Approximation Scheme equilibrium. As many problems related to turbulence are formulated in terms of global in time or even entire (defined for any time .?∈?.) solutions, the existence theory in the framework of weak solutions represents a suitable platform to attack them in a rigorous manner.

cruise

Existence Theory: Main Results preceding four chapters and formulate the main results concerning the existence of weak solutions. Although we have systematically considered a compact time interval [0, .], .?>?0, the extension to [0, .) is straightforward.

Gullible

Custodian

孤獨(dú)無助

Constitutive Theory and Weak–Strong Uniqueness Revisitedypotheses imposed on the equation of state as well as the transport coefficients and establish a general weak–strong uniqueness principle valid in the class of finite energy weak solutions. The same set of hypotheses will guarantee the existence of global in time weak solutions for any finite energy/entropy initial data.

jaunty

precede

Systems with Prescribed Boundary Temperatureux on the inflow part of the boundary, and Robin type boundary conditions for the heat flux. Other types of boundary conditions could be handled in the same manner as long as the total energy flux through the boundary is controlled. Apparently this is not the case if the temperature instead of the heat flux is prescribed on the boundary.

污點(diǎn)

Book 2022tence of global-in-time solutions for any finite energy initial data, as well as to establish the weak-strong uniqueness principle.? Finally, Part III addresses questions of asymptotic compactness and global boundedness of trajectories and briefly considers the statistical theory of turbulence and the validity of the ergodic hypothesis.

Rebate

https://doi.org/10.1007/978-3-030-94793-4Mathematical Fluid Mechanics; Open Fluid Systems; Navier-Stokes-Fourier System; Ergodic Hypothesis; Stat