Simulation Study of a Hyperbolic Linear Ion Trap with Asymmetric Curvature Radii. [PDF]
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Exact noise influenced soliton solutions of a high-order stochastic nonlinear Schrödinger equation with weak nonlocal nonlinearity in a non-Kerr medium. [PDF]
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Canalized polaritons as virtual waveguides for nanoscale emitters
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A hybrid analytical-machine learning framework for data-driven modeling of soliton solutions in the complex Ginzburg-Landau equation. [PDF]
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A community public health emergency resilience assessment framework based on contrastive learning and hyperbolic embedding. [PDF]
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Analytical evaluations using neural network-based method for wave solutions of combined Kairat-II-X differential equation in fluid mechanics. [PDF]
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On the Darboux Problem for Hyperbolic Systems
Differential Equations, 2023For a hyperbolic system with simple characteristics in the-dimensional space of independent variables, the existence and uniqueness of a solution of the Darboux problem is proved. The Riemann–Hadamard matrix is determined, and the solution of the Darboux problem is constructed in terms of this matrix.
Mironov, A. N., Mironova, L. B.
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PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS
Mathematics of the USSR-Izvestiya, 1974Smooth dynamical systems having contracting and expanding invariant foliations (of not necessarily complementary dimensions) are investigated. Ergodicity and the K-property are established for such dynamical systems under additional assumptions.
Brin, M. I., Pesin, Ya. B.
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Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
International audienceWe give a new sufficient condition on the boundary conditions for the exponential stability of one-dimensional nonlinear hyperbolic systems on a bounded interval.
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