Results 11 to 20 of about 5,348 (248)
Computers & Mathematics with Applications, 1986 Error estimates are proved for finite element approximations to the solution of the initial-value problem \[ u_{tt}=\sum^{n}_{j,k=1}\partial /\partial x_ j(a_{jk}(x,t,u)\partial u/\partial x_ k)-a_ 0(t,x\quad,u)u+f(x,t,u)\quad in\quad \Omega \times [0,\tau], \] \(u=0\) in \(\partial \Omega \times [0,\tau]\), \(u(0)=u^ 0\), \(u_ t(0)=u^ 0_ t\) in ...
Bales, Laurence A., LAURENCE A. BALES
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Daghestan Electronic Mathematical Reports, 2020 In this paper it is studied the questions of one value solvability of initial value problem for nonlinear integro-differential equation with hyperbolic operator of the higher order, with degenerate kernel and reflective argument for regular values of spectral parameter.
T.K. Yuldashev, J.A. Artykova
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On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
, 2015 We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +13 more
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On the well-posedness of weakly hyperbolic equations with time-dependent coefficients [PDF]
, 2012 30.10.12 KB.
Garetto, Claudia +7 more
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Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems [PDF]
, 2006 We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Suli, Endre +5 more
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A blow-up result for a higher-order nonlinear Kirchhoff-type hyperbolic equation
Applied Mathematics Letters, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salim A. Messaoudi, Belkacem Said Houari
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The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions
Abstract and Applied Analysis, 2013 The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
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The problem of dynamic cavitation in nonlinear elasticity [PDF]
, 2012 The notion of singular limiting induced from continuum solutions (slic-solutions) is applied to the problem of cavitation in nonlinear elasticity, in order to re-assess an example of non-uniqueness of entropic weak solutions (with polyconvex energy)
Miroshnikov, Alexey +5 more
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IEEE Access, 2019 In this paper, we seek analytical solutions of the higher-order modified Boussinesq equation by two different systematic techniques. Employing the exp $(-\psi (z))$ -expansion method, exact solutions of the mentioned equation, including hyperbolic ...
Yongyi Gu, Yinying Kong
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A high order compact scheme for hypersonic aerothermodynamics [PDF]
, 2010 A novel high order compact scheme for solving the compressible Navier-Stokes equations has been developed. The scheme is an extension of a method originally proposed for solving the Euler equations, and combines several techniques for the solution of ...
Emerson, David +5 more
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