Results 31 to 40 of about 99,243 (193)
Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space Dimensions
The Scientific World Journal, 2013 We extend a family of high-resolution, semidiscrete central schemes for hyperbolic systems of conservation laws to three-space dimensions. Details of the schemes, their implementation, and properties are presented together with results from several ...
Andrew N. Guarendi, Abhilash J. Chandy
doaj +1 more source
Efficient Implementation of ADER Discontinuous Galerkin Schemes for a Scalable Hyperbolic PDE Engine
Axioms, 2018 In this paper we discuss a new and very efficient implementation of high order accurate arbitrary high order schemes using derivatives discontinuous Galerkin (ADER-DG) finite element schemes on modern massively parallel supercomputers.
Michael Dumbser +4 more
doaj +1 more source
A Class of Nonlinear Hyperbolic Equations
Demonstratio Mathematica, 1989 Let \(\Phi:[0,T] \times X \to(-\infty,\infty)\) be measurable with respect to the \(\sigma\)-algebra generated in \([0,T] \times X\) by products of Lebesgue sets in \([0,T]\) and Borel sets in \(X\); \(\Phi (t,\cdot)\) is lower semicontinuous and convex, and \(\partial \Phi\) denotes the subdifferential of \(\Phi (t,\cdot)\).
openaire +2 more sources
, 2012 In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be understood as a ...
Christov, Ivan C.
core +1 more source
Nonlinear Schrödinger equation on real hyperbolic spaces
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2009 We consider the Schrödinger equation with no radial assumption on real hyperbolic spaces \mathbb{H}^{n} . We obtain in all dimensions n⩾2 sharp dispersive and Strichartz estimates for a large family of admissible pairs.
Anker, Jean-Philippe +1 more
openaire +2 more sources
Dispersionless Limit of Integrable Models [PDF]
, 2002 Nonlinear dispersionless equations arise as the dispersionless limit of well know integrable hierarchies of equations or by construction, such as the system of hydrodynamic type.
Brunelli, J. C.
core +2 more sources
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. Finding exact solutions of nonlinear partial differential equations is one of the main problems of the nonlinear systems theory. A number of methods have been developed for integrable systems, but due to the complexity of various nonlinear
T. V. Red'kina, O. V. Novikova
doaj +1 more source
Structural stability of Supersonic solutions to the Euler-Poisson system
, 2019 The well-posedness for the supersonic solutions of the Euler-Poisson system for hydrodynamical model in semiconductor devices and plasmas is studied in this paper. We first reformulate the Euler-Poisson system in the supersonic region into a second order
Bae, Myoungjean +3 more
core +1 more source
AIP Advances, 2013 The (2+1)-dimensional Maccari and nonlinear Schrödinger equations are reduced to a nonlinear ordinary differential equation (ODE) by using a simple transformation, various solutions of the nonlinear ODE are obtained by using extended F-expansion and ...
Hitender Kumar, Fakir Chand
doaj +1 more source
Nonlinear stability of viscous roll waves [PDF]
, 2010 Extending results of Oh--Zumbrun and Johnson--Zumbrun for parabolic conservation laws, we show that spectral stability implies nonlinear stability for spatially periodic viscous roll wave solutions of the one-dimensional St.
Johnson, Mathew +2 more
core +2 more sources