The Experts below are selected from a list of 1431 Experts worldwide ranked by ideXlab platform
Jiaqing Yang - One of the best experts on this subject based on the ideXlab platform.
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Analysis of a time-dependent fluid-solid interaction problem above a local rough surface
Science China-mathematics, 2019Co-Authors: Jiaqing YangAbstract:This paper is concerned with the mathematical analysis of a time-dependent fluid-solid interaction problem associated with a bounded elastic body immersed in a homogeneous air or fluid above a local rough surface. We reformulate the unbounded scattering problem into an equivalent initial-boundary value problem defined in a bounded domain by proposing a transparent boundary condition (TBC) on a hemisphere. Analyzing the reduced problem with the Lax-Milgram lemma and the abstract Inversion Theorem of the Laplace transform, we prove the well-posedness and stability for the reduced problem. Moreover, an a priori estimate is established directly in the time domain for the acoustic wave and elastic displacement by using the energy method.
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Analysis of a time-dependent fluid-solid interaction problem above a local rough surface.
arXiv: Analysis of PDEs, 2018Co-Authors: Jiaqing YangAbstract:This paper is concerned with the mathematical analysis of time-dependent fluid-solid interaction problem associated with a bounded elastic body immersed in a homogeneous air or fluid above a local rough surface. We reformulate the unbounded scattering problem into an equivalent initial-boundary value problem defined in a bounded domain by proposing a transparent boundary condition (TBC) on a hemisphere. Analyzing the reduced problem with Lax-Milgram lemma and abstract Inversion Theorem of Laplace transform, we prove the well-posedness and stability for the reduced problem. Moreover, an a priori estimate is established directly in the time domain for the acoustic wave and elastic displacement with using the energy method.
Harold R Parks - One of the best experts on this subject based on the ideXlab platform.
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The Lagrange Inversion Theorem in the smooth case
Journal of Mathematical Analysis and Applications, 2008Co-Authors: Steven G. Krantz, Harold R ParksAbstract:The classical Lagrange Inversion Theorem is a concrete, explicit form of the implicit function Theorem for real analytic functions. An explicit construction shows that the formula is not true for all merely smooth functions. The authors modify the Lagrange formula by replacing the smooth function by its Maclaurin polynomials. The resulting modified Lagrange series is, in analogy to the Maclaurin polynomials, an approximation to the solution function accurate to o(xN) as x→0.
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The Lagrange Inversion Theorem in the smooth case
arXiv: Analysis of PDEs, 2006Co-Authors: Steven G. Krantz, Harold R ParksAbstract:The authors study the classical Lagrange Inversion Theorem--an antecedent of the modern implicit function Theorem--in the smooth case. Examples are given to show that the result is sharp.
Roldao Da Rocha - One of the best experts on this subject based on the ideXlab platform.
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questing mass dimension 1 spinor fields
European Physical Journal C, 2015Co-Authors: C Coronado H Villalobos, J Hoff M Da Silva, Roldao Da RochaAbstract:This work deals with new classes of spinors of mass dimension 1 in Minkowski spacetime. In order to accomplish it, Lounesto’s classification scheme and the Inversion Theorem are going to be used. The algebraic framework shall be revisited by explicating the central point performed by the Fierz aggregate. Then the spinor classification is generalized in order to encompass the new mass dimension 1 spinors. The spinor operator is shown to play a prominent role to engender the new mass dimension 1 spinors, accordingly.
Béatrice Laroche - One of the best experts on this subject based on the ideXlab platform.
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Computation of Convergence Bounds for Volterra Series of Linear-Analytic Single-Input Systems
IEEE Transactions on Automatic Control, 2011Co-Authors: Thomas Hélie, Béatrice LarocheAbstract:In this paper, the Volterra series decomposition of a class of single-input time-invariant systems, analytic in state and affine in input, is analyzed. Input-to-state convergence results are obtained for several typical norms (Linf[0,T], Linf (R+) as well as exponentially weighted norms). From the standard recursive construction of Volterra kernels, new estimates of the kernel norms are derived. The singular Inversion Theorem is then used to obtain the main result of the paper, namely, an easily computable bound of the convergence radius. Guaranteed error bounds for the truncated series are also provided. The relevance of the method is illustrated in several examples.
Marius Rădulescu - One of the best experts on this subject based on the ideXlab platform.
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On a global implicit function Theorem for locally Lipschitz maps via non-smooth critical point theory
Quaestiones Mathematicae, 2017Co-Authors: Marek Galewski, Marius RădulescuAbstract:We prove a non-smooth generalization of the global implicit function Theorem. More precisely we use the non-smooth local implicit function Theorem and the non-smooth critical point theory in order to prove a non-smooth global implicit function Theorem for locally Lipschitz functions. A comparison between several global Inversion Theorems is discussed. Applications to algebraic equations are given. Keywords: Mountain pass Theorem, global implicit function, locally Lipschitz function, non-smooth global Inversion Theorem
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A Generalization of the Fujisawa-Kuh Global Inversion Theorem
Journal of Mathematical Analysis and Applications, 2011Co-Authors: Marius Rădulescu, Sorin Rădulescu, E. Cabral BalreiraAbstract:We discuss the problem of global invertibility of nonlinear maps defined on the finite dimensional Euclidean space via differential tests. We provide a generalization of the Fujisawa-Kuh global Inversion Theorem and introduce a generalized ratio condition which detects when the pre-image of a certain class of linear manifolds is non-empty and connected. In particular, we provide conditions that also detect global injectivity.
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Applications of a global Inversion Theorem to unique solvability of second order Dirichlet problems
Annals of the University of Craiova - Mathematics and Computer Science Series, 2003Co-Authors: Marius Rădulescu, Sorin RădulescuAbstract:Banach-Mazur-Caccioppoli global Inversion Theorem is applied to obtain a generalization of a previous result of the authors and a result due to Ambrosetti and Prodi concerning unique solvability of a Dirichlet problem for a second order differential equation. 2000 Mathematics Subject Classification. Primary 34G20; Secondary 58C15.
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Global Inversion Theorem to unique solvability of Dirichlet problems
Journal of Mathematical Analysis and Applications, 2002Co-Authors: Marius Rădulescu, Sorin RădulescuAbstract:Abstract Banach–Mazur–Caccioppoli global Inversion Theorem is applied to obtain a generalization of a result due to Ambrosetti and Prodi concerning unique solvability of a Dirichlet problem for a second-order differential equation.
