國立虎尾科技大學 |

Handbook of mathematical analysis in mechanics of viscous fluids

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Handbook of mathematical analysis in mechanics of viscous fluids/ edited by Yoshikazu Giga, Antonin Novotny.
其他作者:	Giga, Yoshikazu.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xxviii, 3045 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Fluid mechanics - Handbooks, manuals, etc. - Mathematics -
電子資源:	http://dx.doi.org/10.1007/978-3-319-13344-7
ISBN:	9783319133447

Handbook of mathematical analysis in mechanics of viscous fluids
Handbook of mathematical analysis in mechanics of viscous fluids[electronic resource] /edited by Yoshikazu Giga, Antonin Novotny. - Cham :Springer International Publishing :2018. - xxviii, 3045 p. :ill. (some col.), digital ;24 cm.

Part 0 Derivation of Equations for incompressible and compressible fluids -- Modeling -- Part I Incompressible fluids -- Stokes approximation -- Steady viscous Newtonian fluids -- Unsteady viscous Newtonian fluids -- Regularity of nonstationary Navier-Stokes flow -- Mathematical theory for turbulence -- Incompressible fluids with various effects -- Free boundary problems -- Part II Compressible Fluids -- Equations and various concepts of solutions in the thermodynamics of compressible fluids -- Solutions for the one dimensional flows in the non steady case -- Global existence of weak solutions in several dimensions and their qualitative properties -- Regularity theory in the multidimensional non steady case -- Existence theory for the compressible steady flows -- Scale analysis and hydrodynamic limits within the equations of compressible fluids -- Examples of coupled systems including compressible fluids.

Mathematics has always played a key role for researches in fluid mechanics. The purpose of this handbook is to give an overview of items that are key to handling problems in fluid mechanics. Since the field of fluid mechanics is huge, it is almost impossible to cover many topics. In this handbook, we focus on mathematical analysis on viscous Newtonian fluid. The first part is devoted to mathematical analysis on incompressible fluids while part 2 is devoted to compressible fluids.

ISBN: 9783319133447

Standard No.: 10.1007/978-3-319-13344-7doiSubjects--Topical Terms:

1203935
Fluid mechanics
--Mathematics--Handbooks, manuals, etc.

LC Class. No.: QA901

Dewey Class. No.: 532.00151

Handbook of mathematical analysis in mechanics of viscous fluids
LDR:02386nam a2200313 a 4500 001 925865
003 DE-He213
005 20180419112703.0
006 m d
007 cr nn 008maaau
008 190625s2018 gw s 0 eng d
020 $a 9783319133447 $q (electronic bk.)
020 $a 9783319133430 $q (paper)
024 7 $a 10.1007/978-3-319-13344-7 $2 doi
035 $a 978-3-319-13344-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA901
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 532.00151 $2 23
090 $a QA901 $b .H236 2018
245 0 0 $a Handbook of mathematical analysis in mechanics of viscous fluids $h [electronic resource] / $c edited by Yoshikazu Giga, Antonin Novotny.
260 $a Cham : $c 2018. $b Springer International Publishing : $b Imprint: Springer,
300 $a xxviii, 3045 p. : $b ill. (some col.), digital ; $c 24 cm.
505 0 $a Part 0 Derivation of Equations for incompressible and compressible fluids -- Modeling -- Part I Incompressible fluids -- Stokes approximation -- Steady viscous Newtonian fluids -- Unsteady viscous Newtonian fluids -- Regularity of nonstationary Navier-Stokes flow -- Mathematical theory for turbulence -- Incompressible fluids with various effects -- Free boundary problems -- Part II Compressible Fluids -- Equations and various concepts of solutions in the thermodynamics of compressible fluids -- Solutions for the one dimensional flows in the non steady case -- Global existence of weak solutions in several dimensions and their qualitative properties -- Regularity theory in the multidimensional non steady case -- Existence theory for the compressible steady flows -- Scale analysis and hydrodynamic limits within the equations of compressible fluids -- Examples of coupled systems including compressible fluids.
520 $a Mathematics has always played a key role for researches in fluid mechanics. The purpose of this handbook is to give an overview of items that are key to handling problems in fluid mechanics. Since the field of fluid mechanics is huge, it is almost impossible to cover many topics. In this handbook, we focus on mathematical analysis on viscous Newtonian fluid. The first part is devoted to mathematical analysis on incompressible fluids while part 2 is devoted to compressible fluids.
650 0 $a Fluid mechanics $x Mathematics $v Handbooks, manuals, etc. $3 1203935
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Analysis. $3 669490
650 2 4 $a Mathematical Physics. $3 786661
650 2 4 $a Fluid- and Aerodynamics. $3 768779
700 1 $a Giga, Yoshikazu. $3 1076698
700 1 $a Novotny, Antonin. $3 897662
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-13344-7
950 $a Mathematics and Statistics (Springer-11649)