Systems of Quasilinear Equations and Their Applications to Gas Dynamics

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Abstract:

Mathematical methods of investigating one-dimensional problems in gas dynamics are presented. Systems of quasilinear equations and principal problems for hyperbolic systems are studied in detail. Equations of gas dynamics are derived and investigated analytic solutions of gas dynamics are presented discontinuous flows containing shock waves are studied. The fundamentals of the theory of difference schemes are set forth and a variety of numerical solution methods for gas dynamics problems employed in practical calculations are set forth. A theory of the generalized solution is outlined for systems of quasilinear equations of the hyperbolic type. The monograph contains the results of recent work on these problem areas.

Author(s):
Rozhdestvenskii, Boris L. ; Yanenko, Nikolai N.
Author Organization(s):
ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER CHARLOTTESVILLE VA
Supplementary Note:
Trans. of mono. Systemy Kvazilineinykh Uravnenii, i ikh Prilozheniya k Gazovoi Dinamike, Moscow, 592p., 1968. ACSI Control K-0333. Text in English.
Pagination:
0670

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
FSTC-HT-23-1044-71
Project Number(s):
FSTC-T7023012301
Monitor Series:
FSTC
 Subject Terms
Joint Capability Areas:
JCA_3.2_Engagement; JCA_3_Force Application; JCA_3.2.1_Kinetic Means; JCA_5_Command and Control; JCA_5.3_Planning; JCA_1_Force Support; JCA_1.2_Force Preparation; JCA_1.2.6_Concepts; JCA_1.3_Human Capital Management; JCA_1.3.2_Personnel Management; JCA_1.2.5_Lessons Learned; JCA_1.4.2_Health Service Delivery; JCA_1.4_Force Support; JCA_4.1_Deployment and Distribution; JCA_4.5.4_Requirements Definition; JCA_4.5_Operational Contract Support; JCA_6_Net Centric; JCA_JCA_4.1.2_Sustain the Force; JCA_4.2.2_Inventory Management; JCA_4.2_Supply; JCA_6.1.1_Wired Transmission
Modernization Areas:
Microelectronics
Communities of Interest:
Energy and Power Technologies
Descriptor(s):
*GAS DYNAMICS, *GAS FLOW, *HYPERBOLIC DIFFERENTIAL EQUATIONS, *NONLINEAR DIFFERENTIAL EQUATIONS, *PARTIAL DIFFERENTIAL EQUATIONS, BANACH SPACE, CAUCHY PROBLEM, DIFFERENCE EQUATIONS, HEAT TRANSFER, INEQUALITIES, MATRICES(MATHEMATICS), NUMERICAL INTEGRATION, SHOCK WAVES, STABILITY, THEOREMS, TRANSLATIONS, USSR
Field(s)/Group(s):
Theoretical Mathematics, Fluid Mechanics
Keyword(s):
FOREIGN REPORTS
Report Date:
1972 May 04