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At the 37th Prandtl memorial lecture on Regions of Viccous Flow, H.Oertel 1994 developed for the first time the stability theory of local perturbations in boundary layers and wake flows, as well as their practical application in the flow control of vehicle flows and the boundary layer of civil aircraft wings.This work presents how the stability theory concept of absolute instability has advanced and proven in practice in the last 15 years in terms of the efficient flow control.
Flow Control --- Fluid Mechanics --- Stability Theory --- Wake Flow --- Bundary Layer Transition
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The main focus of this thesis is the discussion of stability of an objective (atomic) structure consisting of single atoms which interact via a potential. We define atomistic stability using a second derivative test. More precisely, atomistic stability is equivalent to a vanishing first derivative of the configurational energy (at the corresponding point) and the coerciveness of the second derivative of the configurational energy with respect to an appropriate semi-norm. Atomistic stability of a lattice is well understood, see, e.,g., [40]. The aim of this thesis is to generalize the theory to objective structures. In particular, we first investigate discrete subgroups of the Euclidean group, then define an appropriate seminorm and the atomistic stability for a given objective structure, and finally provide an efficient algorithm to check its atomistic stability. The algorithm particularly checks the validity of the Cauchy-Born rule for objective structures. To illustrate our results, we prove numerically the stability of a carbon nanotube by applying the algorithm.
Mathematics --- Mathematical model --- Elasticity theory --- Stability theory --- Objective structure --- Discrete subgroup of the Euclidean group
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The main focus of this thesis is the discussion of stability of an objective (atomic) structure consisting of single atoms which interact via a potential. We define atomistic stability using a second derivative test. More precisely, atomistic stability is equivalent to a vanishing first derivative of the configurational energy (at the corresponding point) and the coerciveness of the second derivative of the configurational energy with respect to an appropriate semi-norm. Atomistic stability of a lattice is well understood, see, e.,g., [40]. The aim of this thesis is to generalize the theory to objective structures. In particular, we first investigate discrete subgroups of the Euclidean group, then define an appropriate seminorm and the atomistic stability for a given objective structure, and finally provide an efficient algorithm to check its atomistic stability. The algorithm particularly checks the validity of the Cauchy-Born rule for objective structures. To illustrate our results, we prove numerically the stability of a carbon nanotube by applying the algorithm.
Science / Physics --- Mathematics --- Mathematics --- Mathematical model --- Elasticity theory --- Stability theory --- Objective structure --- Discrete subgroup of the Euclidean group --- Mathematical model --- Elasticity theory --- Stability theory --- Objective structure --- Discrete subgroup of the Euclidean group
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The main focus of this thesis is the discussion of stability of an objective (atomic) structure consisting of single atoms which interact via a potential. We define atomistic stability using a second derivative test. More precisely, atomistic stability is equivalent to a vanishing first derivative of the configurational energy (at the corresponding point) and the coerciveness of the second derivative of the configurational energy with respect to an appropriate semi-norm. Atomistic stability of a lattice is well understood, see, e.,g., [40]. The aim of this thesis is to generalize the theory to objective structures. In particular, we first investigate discrete subgroups of the Euclidean group, then define an appropriate seminorm and the atomistic stability for a given objective structure, and finally provide an efficient algorithm to check its atomistic stability. The algorithm particularly checks the validity of the Cauchy-Born rule for objective structures. To illustrate our results, we prove numerically the stability of a carbon nanotube by applying the algorithm.
Science / Physics --- Mathematics --- Mathematical model --- Elasticity theory --- Stability theory --- Objective structure --- Discrete subgroup of the Euclidean group
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This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equations is under rapid development. After a presentation of the fundamental theory of existence, uniqueness and continuability of solutions, a systematic development of stability theory for that class of problems is given which makes the book unique. It addresses to a wide audience such as mathematicians, applied research
Impulsive differential equations. --- Stability. --- Lyapunov functions. --- Functions, Liapunov --- Liapunov functions --- Differential equations --- Dynamics --- Mechanics --- Motion --- Vibration --- Benjamin-Feir instability --- Equilibrium --- Impulse differential equations --- Impulsive partial differential equations --- Differential equations, Partial --- Functional Differential Equations. --- Ljapunov Stability. --- Ordinary Differential Equations. --- Stability Theory.
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Ordinary differential equations -- Instructional exposition (textbooks, tutorial papers, etc.). --- Ordinary differential equations -- Qualitative theory -- Qualitative theory. --- Ordinary differential equations -- Stability theory -- Stability theory. --- Dynamical systems and ergodic theory -- Local and nonlocal bifurcation theory -- Local and nonlocal bifurcation theory. --- Dynamical systems and ergodic theory -- Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems -- Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems. --- Differential equations --- Equations différentielles --- Qualitative theory. --- Théorie qualitative
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The strategic-choice approach has a long pedigree in international relations. In an area often rent by competing methodologies, editors David A. Lake and Robert Powell take the best of accepted and contested knowledge among many theories. With the contributors to this volume, they offer a unifying perspective, which begins with a simple insight: students of international relations want to explain the choices actors make--whether these actors be states, parties, ethnic groups, companies, leaders, or individuals. This synthesis offers three new benefits: first, the strategic interaction of actors is the unit of analysis, rather than particular states or policies; second, these interactions are now usefully organized into analytic schemes, on which conceptual experiments may be based; and third, a set of methodological "bets" is then made about the most productive ways to analyze the interactions. Together, these elements allow the pragmatic application of theories that may apply to a myriad of particular cases, such as individuals protesting environmental degradation, governments seeking to control nuclear weapons, or the United Nations attempting to mobilize member states for international peacekeeping. Besides the editors, the six contributors to this book, all distinguished scholars of international relations, are Jeffry A. Frieden, James D. Morrow, Ronald Rogowski, Peter Gourevitch, Miles Kahler, and Arthur A. Stein. Their work is an invaluable introduction for scholars and students of international relations, economists, and government decision-makers.
Strategic planning. --- International relations. --- Axelrod, Robert. --- Bueno de Mesquita, Bruce. --- Chicken Game. --- Depew, David J. --- Fearon, James. --- Frieden, Jeffry. --- Hirshleifer, Jack. --- Keohane, Robert O. --- Lake, David. --- Lamarckism. --- Morrow, James. --- Rogowski, Ronald. --- aggregation of preferences. --- constructivist theories. --- deterrents: alliances as. --- ecology, organizational. --- hegemonic stability theory. --- linkage in bargaining. --- mathematical model. --- multiple-veto systems. --- reversion point. --- scale of units. --- screening.
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Dynamics. --- Ergodic theory. --- Stability. --- Dynamical systems and ergodic theory -- Topological dynamics -- Nonautonomous dynamical systems. --- Dynamical systems and ergodic theory -- Smooth dynamical systems: general theory -- Nonautonomous smooth dynamical systems. --- Dynamical systems and ergodic theory -- Random dynamical systems -- Foundations, general theory of cocycles, algebraic ergodic theory. --- Dynamical systems and ergodic theory -- Topological dynamics -- Lyapunov functions and stability; attractors, repellers. --- Dynamical systems and ergodic theory -- Smooth dynamical systems: general theory -- Stability theory. --- Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Invariant manifold theory. --- Dynamical systems and ergodic theory -- Local and nonlocal bifurcation theory -- Attractors and their bifurcations.
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During the Cold War, international trade closely paralleled the division of the world into two rival political-military blocs. NATO and GATT were two sides of one coin; the Warsaw Treaty Organization and the Council for Mutual Economic Assistance were two sides of another. In this book Joanne Gowa examines the logic behind this linkage between alliances and trade and asks whether it applies not only after but also before World War II.
World politics --- International trade. --- Free trade. --- East-West trade. --- Alliances. --- Alliances --- Treaties of alliance --- International relations --- Treaties --- East-West trade (1945- ) --- International trade --- Free trade and protection --- Trade, Free --- Trade liberalization --- External trade --- Foreign commerce --- Foreign trade --- Global commerce --- Global trade --- Trade, International --- World trade --- Commerce --- International economic relations --- Non-traded goods --- Law and legislation --- Asquith, Henry H. --- Austria-Hungary. --- Britain. --- Cambon, Paul. --- Cold War. --- Deardorff, Alan V. --- Eichengreen, Barry. --- Entente, Anglo-French. --- France. --- Fudenberg, D. --- Gasiorowski, Mark. --- Germany. --- Grey, Sir Edward. --- Haggard, Stephan. --- Iceland. --- Italy. --- Japan. --- Keohane, Robert O. --- Kindleberger, Charles P. --- Lavergne, Real P. --- Linnemann, Hans. --- McKeown, Timothy. --- Milward, Alan S. --- Nye, John Vincent. --- Pollins, Brian. --- Snidal, Duncan. --- United Nations. --- Vietnam War. --- balance of power. --- bipolarity. --- chain-store paradox. --- deterrence. --- hegemonic stability theory. --- market failure. --- optimal tariff. --- rational hegemons. --- security externalities. --- terms of trade. --- Foreign trade policy --- Freihandel. --- Aussenhandel.
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