Results 41 to 50 of about 599 (137)

Nonlocal degenerate parabolic-hyperbolic equations on bounded domains

Annales de l'Institut Henri Poincaré C, Analyse non linéaire
We study well-posedness of degenerate mixed-type parabolic-hyperbolic equations \partial_{t}u+\operatorname{div}(f(u))=\mathcal{L}[b(u)] on bounded domains with general Dirichlet boundary/exterior conditions. The nonlocal diffusion operator \mathcal{L}
Nathaël Alibaud, Jørgen Endal, Espen R. Jakobsen, Ola Mæhlen   +3 more
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Global Existence, General Decay, and Blow Up of the Solution to the Coupled p-Biharmonic Equation of Hyperbolic Type with Degenerate Damping Terms

Mathematics
In this work, we study a nonlinear system of p-Biharmonic hyperbolic equations with degenerate damping and source terms in a bounded domain. Under appropriate assumptions on the initial data and the damping terms, we establish the global existence of ...
Nouri Boumaza, Billel Gheraibia, Hongwei Zhang, Zayd Hajjej   +3 more
doaj   +1 more source

Formation of singularities for a linearly degenerate hyperbolic system arising in magnetohydrodynamics

Advances in Nonlinear Analysis
This article is concerned with the singularity formation of smooth solutions for a nonhomogeneous hyperbolic system arising in magnetohydrodynamics. The system owns four linearly degenerate characteristic fields that influence each other in the relations
Hu Yanbo, Zeng Ying
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Global solvability of a mixed problem for a singular semilinear hyperbolic 1d system

Математичні Студії
Using the method of characteristics and the Banach fixed point theorem (for the Bielecki metric), in the paper it is established the existence and uniqueness of a global (continuous) solution of the mixed problem in the rectangle $\Pi=\{(x,t)\colon ...
V. M. Kyrylych, O. V. Peliushkevych
doaj   +1 more source

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
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Exact solution of spherical mean-field plus special orbit-dependent non-separable pairing model with multi non-degenerate j-orbits

Physics Letters B, 2019
Exact solution of spherical mean-field plus a special orbit-dependent non-separable pairing Hamiltonian with multi non-degenerate j-orbits, which is related to two previously known hyperbolic Gaudin models, is explored.
Feng Pan, Dan Zhou, Yingwen He, Siyu Yang, Yunfeng Zhang, J.P. Draayer   +5 more
doaj   +1 more source

On quasilinear hyperbolic equations with degenerate principal part

Tsukuba Journal of Mathematics, 1998
The goal of the present paper is to study the quasilinear weakly hyperbolic Cauchy problem \[ u_{tt}= \sum_{i,j} (a_{ij}(t,x)u_{x_i})_{x_j}+ f(t,x,u,\nabla_x u), \] \[ u(0,x)= u_0(x),\quad u_t(0,x)= u_1(x). \] Here weakly hyperbolic means \[ 0\leq \sum^n_{i,j= 1} a_{ij}(t,x)\xi_j \xi_j\leq \Lambda|\xi|^2.
D'ANCONA, Piero Antonio, M. DI FLAVIANO
openaire   +4 more sources

Strong traces for degenerate parabolic-hyperbolic equations

Discrete & Continuous Dynamical Systems - A, 2009
In this paper we consider bounded weak solutions $u$ of degenerate parabolic-hyperbolic equations defined in a subset $]0,T[\times\Omega\subset \R^{+}\times \R^d$. We define a strong notion of trace at the boundary $]0,T[\times\partial\Omega$ reached by $L^1$ convergence for a large class of functionals of $u$ and at $0 \times \Omega$ reached by $
openaire   +1 more source

Homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic–hyperbolic equations

Journal of Differential Equations, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Yachun, Wang, Qin
openaire   +1 more source

Non-Local Problems for the Fractional Order Diffusion Equation and the Degenerate Hyperbolic Equation

Fractal and Fractional
This research explores nonlocal problems associated with fractional diffusion equations and degenerate hyperbolic equations featuring singular coefficients in their lower-order terms.
Menglibay Ruziev, Roman Parovik, Rakhimjon Zunnunov, Nargiza Yuldasheva   +3 more
doaj   +1 more source