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  • Inertial manifolds  (1)
  • Launch Vehicles and Launch Operations  (1)
  • 1995-1999  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of dynamics and differential equations 9 (1997), S. 373-400 
    ISSN: 1572-9222
    Keywords: Inertial manifolds ; exponential attractors ; approximate inertial manifolds ; Bubnov-Galerkin approximations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Suppose that the family of evolution equationsdu/dt+Au+f N (u)=0 possesses inertial manifolds of the same dimension for a sequence of nonlinear termsf N withf N →f in the C0 norm. Conditions are found to ensure that the limiting equationdu/dt+Au+f(u)=0 also possesses an inertial manifold. There are two cases. The first, where the manifolds for the family have a bounded Lipschitz constant, is straightforward and leads to an interesting result on inertial manifolds for Bubnov-Galerkin approximations. When the Lipschitz constant is unbounded, it is still possible to prove the existence of an exponential attractor of finite Hausdorff dimension for the limiting equation. This more general result is applied to a problem in approximate inertial manifold theory discussed by Sell (1993).
    Type of Medium: Electronic Resource
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  • 2
    Publication Date: 2019-07-13
    Description: Airbreathing launch vehicles continue to be a subject of great interest in the space access community. In particular, horizontal takeoff and horizontal landing vehicles are attractive with their airplane-like benefits and flexibility for future space launch requirements. The most promising of these concepts involve airframe integrated propulsion systems, in which the external undersurface of the vehicle forms part of the propulsion flowpath. Combining of airframe and engine functions in this manner involves all of the design disciplines interacting at once. Design and optimization of these configurations is a most difficult activity, requiring a multi-discipline process to analytically resolve the numerous interactions among the design variables. This paper describes the design and optimization of one configuration in this vehicle class, a lifting body with turbine-based low-speed propulsion. The integration of propulsion and airframe, both from an aero-propulsive and mechanical perspective are addressed. This paper primarily focuses on the design details of the preferred configuration and the analyses performed to assess its performance. The integration of both low-speed and high-speed propulsion is covered. Structural and mechanical designs are described along with materials and technologies used. Propellant and systems packaging are shown and the mission-sized vehicle weights are disclosed.
    Keywords: Launch Vehicles and Launch Operations
    Type: AIAA Paper 99-4948 , 9th International Space Planes and Hypersonic Systems and Technologies Conference; Nov 01, 1999 - Nov 05, 1999; Norfolk, VA; United States|3rd Weakly Ionized Gases Workshop; Nov 01, 1999 - Nov 05, 1999; Norfolk, VA; United States
    Format: application/pdf
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