Zeitschrift für Angewandte Mathematik und Physik 

About: Zeitschrift für Angewandte Mathematik und Physik is an academic journal published by Birkhäuser. The journal publishes majorly in the area(s): Boundary value problem & Nonlinear system. It has an ISSN identifier of 0044-2275. Over the lifetime, 6195 publications have been published receiving 87562 citations. The journal is also known as: Journal des mathématiques et de physique appliquées & ZAMP.

Flow past a stretching plate

Abstract: Eine Platte aus plastischem Material fliesst aus einem Spalt mit einer Geschwindigkeit, die proportional zum Abstand vom Spalt ist. Eine exakte Losung der Grenzschichtgleichungen fur die von der Platte erzeugte Luftbewegung wird gegeben. Oberflachenreibung und Warmeleitungskoeffizient werden berechnet.

On a class of nonlinear Schro¨dinger equations

Abstract: This paper concerns the existence of standing wave solutions of nonlinear Schrodinger equations. Making a standing wave ansatz reduces the problem to that of studying the semilinear elliptic equation: (*) $$ - \Delta u + b(x)u = f(x, u), x \in \mathbb{R}^n .$$ The functionf is assumed to be “superlinear”. A special case is the power nonlinearityf(x, z)=∥z∥ s−1 z where 1

On one-dimensional finite-strain beam theory: the plane problem

Abstract: The paper formulates a one-dimensional large-strain beam theory for plane deformations of plane beams, with rigorous consistency of dynamics and kinematics via application of the principle of virtual work. This formulation is complemented by considerations on how to obtain constitutive equations, and applied to the problem of buckling of circular rings, including the effects of axial normal strain and transverse shearing strain.

On a theory of heat conduction involving two temperatures

Abstract: In dieser Arbeit entwickeln wir eine neue Theorie der Warmeleitung. Diese Theorie, in der zwei Temperaturen auftreten, beseitigt einige Pathologien der klassischen Theorie.

The discrete energy-momentum method: conserving algorithms for nonlinear elastodynamics

Abstract: In the absence of external loads or in the presence of symmetries (i.e., translational and rotational invariance) the nonlinear dynamics of continuum systems preserves the total linear and the total angular momentum. Furthermore, under assumption met by all classical models, the internal dissipation in the system is non-negative. The goal of this work is the systematic design of conserving algorithms that preserve exactly the conservation laws of momentum and inherit the property of positive dissipation forany step-size. In particular, within the specific context of elastodynamics, a second order accurate algorithm is presented that exhibits exact conservation of both total (linear and angular) momentum and total energy. This scheme is shown to be amenable to a completely straightforward (Galerkin) finite element implementation and ideally suited for long-term/large-scale simulations. The excellent performance of the method relative to conventional time-integrators is conclusively demonstrated in numerical simulations exhibiting large strains coupled with a large overall rigid motion.