Results 11 to 20 of about 6,299 (269)
Bounded solutions of nonlinear hyperbolic equations with time delay
Electronic Journal of Differential Equations, 2018 We consider the initial value problem $$\displaylines{ \frac{d^{2}u}{dt^{2}}+Au(t)=f(u(t),u(t-w)), \quad t>0, \cr u(t)=\varphi (t),\quad -w\leq t\leq 0 }$$ for a nonlinear hyperbolic equation with time delay in a Hilbert space with the self adjoint
Allaberen Ashyralyev, Deniz Agirseven
doaj +2 more sources
Existence of bounded solutions for nonlinear hyperbolic partial differential equations
Electronic Journal of Differential Equations, 2015 In this article we first establish a new representation formula for bounded solutions to a class of nonlinear second-order hyperbolic partial differential equations.
Toka Diagana, Mamadou Moustapha Mbaye
doaj +1 more source
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
core +1 more source
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
core +1 more source
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
core +1 more source
Results in Physics, 2022 The main purpose of the present paper is to introduce a reliable method, for the first time, in solving differential equations with partial derivatives. The significant idea behind this method is the modification of a well-known method.
Musaad S. Aldhabani +5 more
doaj +1 more source
On the well-posedness of weakly hyperbolic equations with time-dependent coefficients [PDF]
, 2012 30.10.12 KB.
Garetto, Claudia +7 more
core +1 more source
On the construction and properties of WENO schemes order five, seven, nine, eleven and thirteen. Part 1. Construction and stability [PDF]
Компьютерные исследования и моделирование, 2016 Currently, different nonlinear numerical schemes of the spatial approximation are used in numerical simulation of boundary value problems for hyperbolic systems of partial differential equations (e. g.
Nikolay Mikhaylovitch Evstigneev
doaj +1 more source
Chemical Engineering Journal Advances, 2023 The tangent hyperbolic nanofluid behaviour is observed in multiple practical applications and extensively used in different laboratory experiments. It motivates to focus on the two-dimensional boundary layer flow of tangent hyperbolic nanofluid past a ...
Hiranmoy Maiti, Samir Kumar Nandy
doaj +1 more source
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
doaj +1 more source