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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 In the paper the problem of Cauchy is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The Cauchy problem is considered for the hyperbolic differential equation of the third order with the ...
Aleksandr A Andreev, Julia O Yakovleva
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 In the paper the Cauchy problem is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The regular solution of the Cauchy problem for the hyperbolic differential equation of the n-th order with the ...
Aleksandr A Andreev, Julia O Yakovleva
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Numerical methods for the hyperbolic Monge-Ampère equation based on the method of characteristics [PDF]
Partial Differential Equations and Applications, 2021 We present three alternative derivations of the method of characteristics (MOC) for a second order nonlinear hyperbolic partial differential equation (PDE) in two independent variables.
Maikel W. M. C. Bertens +4 more
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Advances in Differential Equations, 2020 In this paper, the existence and uniqueness of the interface coupling (IC) of time and spatial (TS) arbitrary-order fractional (AOF) nonlinear hyperbolic scalar conservation laws (NHSCL) are investigated.
S. M. R. Shirkhorshidi +4 more
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Error estimates for Gaussian beam superpositions [PDF]
Mathematics of Computation, 2010 Gaussian beams are asymptotically valid high frequency solutions to hyperbolic partial differential equations, concentrated on a single curve through the physical domain.
Hailiang Liu, O. Runborg, N. Tanushev
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Uncertainty Quantification for Linear Hyperbolic Equations with Stochastic Process or Random Field Coefficients [PDF]
, 2017 In this paper hyperbolic partial differential equations with random coefficients are discussed. Such random partial differential equations appear for instance in traffic flow problems as well as in many physical processes in random media.
Barth, Andrea, Fuchs, Franz G.
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The Cauchy Problem for the Generalized Hyperbolic Novikov-Veselov Equation via the Moutard Symmetries [PDF]
Symmetry, 2015 We begin by introducing a new procedure for construction of the exact solutions to Cauchy problem of the real-valued (hyperbolic) Novikov–Veselov equation which is based on the Moutard symmetry.
A. Yurova, A. Yurov, V. Yurov
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Global existence and decay of small solutions for quasi-linear second-order uniformly dissipative hyperbolic-hyperbolic systems [PDF]
Journal of Differential Equations, 2023 This paper is concerned with quasilinear systems of partial differential equations consisting of two hyperbolic operators interacting dissipatively. Its main theorem establishes global-in-time existence and asymptotic stability of strong solutions to the
Matthias Sroczinski
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A Stein characterisation of the generalized hyperbolic distribution [PDF]
, 2017 The generalized hyperbolic (GH) distributions form a five parameter family of probability distributions that includes many standard distributions as special or limiting cases, such as the generalized inverse Gaussian distribution, Student's $t ...
Barbour +27 more
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On the Limitations of Physics-Informed Deep Learning: Illustrations Using First-Order Hyperbolic Conservation Law-Based Traffic Flow Models [PDF]
IEEE Open Journal of Intelligent Transportation Systems, 2023 Since its introduction in 2017, physics-informed deep learning (PIDL) has garnered growing popularity in understanding the systems governed by physical laws in terms of partial differential equations (PDEs).
Archie J. Huang, S. Agarwal
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