Results 61 to 70 of about 27,850 (167)

The classical solvability for a one-dimensional nonlinear thermoelasticity system with the far field degeneracy

Advanced Nonlinear Studies
We study the local classical solvability of the Cauchy problem to the equations of one-dimensional nonlinear thermoelasticity. The governing model is a coupled system of a nonlinear hyperbolic equation for the displacement and a parabolic equation for ...
Hu Yanbo, Sugiyama Yuusuke
doaj   +1 more source

On a parabolic-hyperbolic Penrose-Fife phase-field system

Electronic Journal of Differential Equations, 2002
The initial and boundary value problem is studied for a non-conserved phase-field system derived from the Penrose-Fife model for the kinetics of phase transitions.
Pierluigi Colli, Maurizio Grasselli, Akio Ito   +2 more
doaj  

Dissipative hyperbolic systems [PDF]

Transactions of the American Mathematical Society, 1957
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Nonstrictly hyperbolic nonlinear systems

Mathematische Annalen, 1987
The initial value problem for a class of nonlinear hyperbolic systems is addressed in this paper, with initial data given in a Sobolev space of functions. These systems are not required to be strictly hyperbolic nor symmetrizable, and the admissible class includes systems with multiple characteristics. The fundamental requirement is a sign condition on
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Existence and blow up in a system of wave equations with nonstandard nonlinearities

Electronic Journal of Differential Equations, 2021
Salim A. Messaoudi, Oulia Bouhoufani, Ilhem Hamchi, Mohamed Alahyane   +3 more
doaj  

Sustained Oscillations in Hyperbolic–Parabolic Systems

Archive for Rational Mechanics and Analysis
We construct examples of oscillating solutions with persistent oscillations for various hyperbolic-parabolic systems with singular diffusion matrices that appear in mechanics. These include, an example for the equations of nonlinear viscoelasticity of Kelvin-Voigt type with stored energy that violates rank-one convexity, which amounts to a time ...
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Hyperbolic systems modeling currency hoarding

, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Quercioli, Elena, Rauch, Jeffrey
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Innovative solutions for lossy nonlinear transmission lines model using a modified extended mapping approach with fractional effects. [PDF]

Sci Rep
Hussein HH, Alexan W, Kandil SA.
europepmc   +1 more source

Nonreciprocal Negative Refraction Enabled by Photonic Time Crystals. [PDF]

Nano Lett
Tavakol MR, Cai W.
europepmc   +1 more source

A novel Fibonacci sequence-based motion profile. [PDF]

Sci Prog
Yao WS, Tseng YC, Hu JH.
europepmc   +1 more source