Results 221 to 230 of about 6,111 (258)

Boundary Controllability for a Degenerate and Singular Wave Equation

Mathematical Methods in the Applied Sciences, 2022
In this paper, we deal with the boundary controllability of a one‐dimensional degenerate and singular wave equation with degeneracy and singularity occurring at the boundary of the spatial domain. Exact boundary controllability is proved in the range of both subcritical and critical potentials and for sufficiently large time, through a boundary ...
Brahim Allal, Jawad Salhi, Alhabib Moumni   +2 more
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Exact Controllability for Some Degenerate Wave Equations

Mathematical Methods in the Applied Sciences, 2020
In this paper, we study one‐dimensional linear degenerate wave equations with a distributed controller. We establish observability inequalities for degenerate wave equation by multiplier method. We also deduce the exact controllability for degenerate wave equation by Hilbert uniqueness method when the control acts on the nondegenerate boundary ...
Jinyan Bai, Shugen Chai
exaly   +2 more sources

Stability for Degenerate Wave Equations With Drift Under Simultaneous Degenerate Damping

Journal of Differential Equations
In this paper we study the stability of two different problems. The first one is a one-dimensional degenerate wave equation with degenerate damping, incorporating a drift term and a leading operator in non-divergence form. In the second problem we consider a system that couples degenerate and non-degenerate wave equations, connected through ...
Mohammad Akil, Genni Fragnelli
exaly   +6 more sources

Some Nonlinear Degenerate Wave Equations

Nonlinear Analysis: Theory, Methods & Applications, 1987
This article is concerned with the local solvability for the initial boundary value problem (P) \[ \partial^ 2u/\partial t^ 2- (\int_{\Omega}| \text{grad} u(x,t)|^ 2 dx)^{\alpha} \Delta u=0\text{ in } \Omega \times (0,\infty), \] \[ u=0\text{ on }\partial \Omega \times (0,\infty),\quad u(\cdot,0)=\phi,\quad (\partial u/\partial t)(\cdot,0)=\psi \text ...
Yoshio Yamada
exaly   +3 more sources

On the Stability of a Degenerate Wave Equation Under Fractional Feedbacks Acting on the Degenerate Boundary

Journal of Dynamical and Control Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hanene Zerkouk, Chahira Aichi, Abbes Benaissa   +2 more
openaire   +2 more sources

Homogenization of Degenerate Wave Equations with Periodic Coefficients

SIAM Journal on Mathematical Analysis, 1993
Summary: The authors discuss homogenization of hyperbolic equations involving periodic coefficients which are degenerate relative to a certain direction. The general scheme by which effective equations are obtained is as the reiterated homogenization. The first step of the process leads to equations describing the oscillatory behavior in the direction ...
Amirat, Youcef, Hamdache, Kamel, Ziani, Abdelhamid   +2 more
openaire   +1 more source

Attractors for wave equations with degenerate memory

Journal of Differential Equations, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M.M. Cavalcanti, L.H. Fatori, T.F. Ma
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Electromagnetic wave equations for relativistically degenerate quantum magnetoplasmas

Physical Review E, 2010
A generalized set of nonlinear electromagnetic quantum hydrodynamic (QHD) equations is derived for a magnetized quantum plasma, including collisional, electron spin- 1/2, and relativistically degenerate electron pressure effects that are relevant for dense astrophysical systems, such as white dwarfs.
Masood, Waqas, Eliasson, Bengt, Shukla, Padma   +2 more
openaire   +4 more sources

Monotonicity and uniqueness of traveling wave solutions in degenerate bistable equations

Applied Mathematics Letters, 2023
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Wei-Jian Bo, Jian-Wen Sun
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The Riemann Problem for Nonlinear Degenerate Wave Equations

Applied Mathematics and Mechanics (English Edition), 2010
The authors study the Riemann problem for the nonlinear degenerate first-order wave equations \[ v_t=u_x,\quad u_t = (|v|^{\gamma-1}v)_x \] for \(\gamma>1\). The initial data are piecewise-constant with the jump in \(x=0\). Unknown \(u\) and \(v\) are velocity and strain respectively, the equations describe a wave in elasticity with viscosity ignored ...
Wan-Cheng Sheng
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