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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convexity, Uniqueness, and Stability of the Regular Shock Reflection-diffraction Problem
规则冲击 反射衍射问题 凸性 唯一性 稳定性
2023/4/17
We will talk about our recent results on the convexity, uniqueness, and stability of regular reflection solutions for the potential flow equation in a natural class of self-similar solutions. The appr...
Uniqueness theorem for the non-local ionization source in glow discharge and hollow cathode
integro-differential operator the Fredholm 2-nd kind equation existence and uniqueness theorem nilpotency glow discharge
2012/4/19
The paper is devoted to the proof of the uniqueness theorem for solution of the equation for the non-local ionization source in a glow discharge and a hollow cathode in general 3D geometry. The theore...
Uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system
Vlasov-Darwin weak solutions uniqueness optimal transportation
2011/9/20
Abstract: We use optimal transportation techniques to show uniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin system. Our proof extends the method used by Loeper in...
A solution of the non-uniqueness problem of the Dirac Hamiltonian and energy operators
non-uniqueness problem Dirac Hamiltonian energy operators General Relativity and Quantum Cosmology
2011/10/9
Abstract: In a general spacetime, the possible choices for the field of orthonormal tetrads lead (in standard conditions) to equivalent Dirac equations. However, the Hamiltonian operator is got from r...
Global Uniqueness for an Inverse Stochastic Hyperbolic Equation with Three Unknowns
Global uniqueness inverse stochastic hyperbolic equation Carleman estimate three unknowns
2011/9/13
Abstract: This paper is addressed to an inverse stochastic hyperbolic equation with three unknowns, i.e., a source term, an initial displacement and an initial velocity. The global uniqueness is prove...
The uniqueness in the inverse problem for transmission eigenvalues for the spherically-symmetric variable-speed wave equation
transmission eigenvalues inverse spectral problem variable-speed wave equation
2011/7/26
The uniqueness in the inverse problem for transmission eigenvalues for the spherically-symmetric variable-speed wave equation.
Uniqueness of collinear solutions for the relativistic three-body problem
Uniqueness of collinear solutions relativistic three-body problem
2010/12/20
Continuing work initiated in an earlier publication [Yamada, Asada, Phys. Rev. D 82, 104019
(2010)], we investigate collinear solutions to the general relativistic three-body problem. We prove the un...
Fock quantization of a scalar field with time dependent mass on the three-sphere: unitarity and uniqueness
Fock quantization scalar field unitarity
2010/3/17
We study the Fock description of a quantum free field on the three-sphere with a mass that depends explicitly on time, also interpretable as an explicitly time dependent quadratic potential. We show t...
Non-uniqueness of the Dirac theory in a curved spacetime
curved spacetime Non-uniqueness Dirac theory
2010/3/17
We summarize a recent work on the subject title. The Dirac equation in a curved spacetime depends on a field of coefficients (essentially the Dirac matrices), for which a continuum of different choice...
Uniqueness of smooth stationary black holes in vacuum: small perturbations of Kerr
Kerr smooth stationary black holes in vacuum
2014/4/3
In collaboration with S. Alexakis and A. Ionescu we show that smooth, asymptotically flat, non-degenerate solutions of the Einstein vacuum equations, which are suuficiently close to a Kerr solution, i...
On the uniqueness of smooth, stationary black holes in vacuum
On the uniqueness of smooth stationary black holes vacuum
2014/4/3
A fundamental conjecture in General Relativity asserts that the domain of outer communicationof a regular, stationary, four dimensional, vacuum black hole solution is isometrically diffeomorphic to th...