Perfect Incompressible Fluids (Oxford Lecture Series in Mathematics and Its Applications)An accessible and self-contained introduction to recent advances in fluid dynamics, this book provides an authoritative account of the Euler equations for a perfect incompressible fluid. The book begins with a ...
R. Temam On the Euler equation of incompressible perfect fluids J. Funct. Anal., 20 (1) (1975), pp. 32-43 View PDFView articleView in ScopusGoogle Scholar [25] Y. Wang, Z.P. Xin, On a weak solution for a two-dimensional fluid-rigid body system, ...
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So the embedding requirement and conformal flatness condition together generate the interior Schwarzschild metric applica- ble to neutral incompressible spherically symmetric fluids. Consequently we have proved the Theorem There exists no nontrivial conformally flat charged isotropic fluid sphere of embedding ...
R. Temam, On the Euler equations of incompressible perfect fluids, J. Funct. Anal. 20, no.1 (1975), 32-43.R. Temam, On the Euler equation of incompressible perfect fluids, J. Funct. Anal. 20 (1975), 32-43.R. Temam, On the Euler equations of incompressible perfect fluids, J. ...
perfect incompressible fluidsfinite-element methodsstructure-preserving methodsWe propose a finite-element discretization approach for the incompressible Euler equations which mimics their geometric structure and their variational derivation. In particular, we derive a finite-element method that arises from a ...
perfect incompressible fluidsfinite-element methodsstructure-preserving methodsWe propose a finite-element discretization approach for the incompressible Euler equations which mimics their geometric structure and their variational derivation. In particular, we derive a finite-element method that arises from a ...
FLUIDSA correction is presented to the article "A variational H(div) finite-element discretization approach for perfect incompressible fluids' which appeared in the previous issue of 2018.doi:10.1093/IMANUM/DRX033Andrea NataleColin J CotterOxford University Press (OUP)IMA Journal of Nu...
1.2 The geometric approach to Euler equations It is well鈥搆nown that the interface problem between two fluids has a variational formula...C. H. Arthur Cheng, Daniel Coutand, and Steve Shkoller. On the limit as the density ratio tends to zero for two perfect incompressible fluids separated ...
We study the asymptotic limit as the density ratio ρ/ρ+→0, where ρ+ and ρ are the densities of two perfect incompressible 2-D/3-D fluids, separated by a surface of discontinuity along which the pressure jump is proportional to the mean curvature of the moving surface. Mathematically,...