Results 61 to 70 of about 123 (116)

A Simple Example of Localized Parametric Resonance for the Wave Equation [PDF]

, 2008
2000 Mathematics Subject Classification: 35L05, 35P25, 47A40.The problem studied here was suggested to us by V. Petkov. Since the beginning of our careers, we have benefitted from his insights in partial differential equations and mathematical physics ...
COLOMBINI, FERRUCCIO, Rauch, Jeffrey, RAUCH J.   +2 more
core  

Blow-up of solutions for Euler-Bernoulli equation with nonlinear time delay

Open Mathematics
We study the Euler-Bernoulli equations with time delay: utt+Δ2u−g1∗Δ2u+g2∗Δu+μ1ut(x,t)∣ut(x,t)∣m−2+μ2ut(x,t−τ)∣ut(x,t−τ)∣m−2=f(u),{u}_{tt}+{\Delta }^{2}u-{g}_{1}\ast {\Delta }^{2}u+{g}_{2}\ast \Delta u+{\mu }_{1}{u}_{t}\left(x,t){| {u}_{t}\left(x,t ...
Lin Rongrui, Gao Yunlong, She Lianbing
doaj   +1 more source

Limiting behavior of quasilinear wave equations with fractional-type dissipation

Advanced Nonlinear Studies
In this work, we investigate a class of quasilinear wave equations of Westervelt type with, in general, nonlocal-in-time dissipation. They arise as models of nonlinear sound propagation through complex media with anomalous diffusion of Gurtin–Pipkin type.
Kaltenbacher Barbara, Meliani Mostafa, Nikolić Vanja   +2 more
doaj   +1 more source

Well posedness and control of semilinear wave equations with iterated logarithms [PDF]

, 1999
. Motivated by a classical work of Erd}os we give rather precise necessary and sucient growth conditions on the nonlinearity in a semilinear wave equation in order to have global existence for all initial data.
Cannarsa, Piermarco, Paola Loreti, Vilmos Komornik, Loreti, Paola, Komornik, Vilmos, Piermarco Cannarsa   +5 more
core  

Chaotic and quasi-periodic dynamics in nonlinear micro-strain wave systems: Exact symbolic solutions and symmetry-based analysis

Results in Engineering
This work presents a systematic theoretical and computational investigation of the micro-strain wave (MSW) model, a fundamental nonlinear evolution equation governing propagation phenomena in media with microscale deformation effects.
Mostafa M.A. Khater
doaj   +1 more source

Small data global regularity for half-wave maps in n = 4 dimensions. [PDF]

Commun Partial Differ Equ, 2021
Kiesenhofer A, Krieger J.
europepmc   +1 more source

Existence and asymptotic stability for a semilinear damped wave equation with dynamic boundary conditions involving variable nonlinearity [PDF]

We study the solvability of a class of quasilinear elliptic equations with (p(x),k(x))(p(x),k(x))-growth structure and with nonlinear boundary conditions in the context of Kelvin-Voigt damping with arbitrary data.
RAHMOUNE, Abita, SALIM, Saf, TOUIL, Nadji   +2 more
core   +1 more source

Solitary wave solutions of the delayed KP–BBM equation

Advances in Nonlinear Analysis
In this paper, a type of shallow water wave model referred to as the Kadomtsev–Petviashvili–Benjamin–Bona–Mahony (KP–BBM) equation is studied. Initially, the unperturbed form of the KP–BBM equation is examined.
Xia Yonghui, Zhang Haojie, Zheng Hang
doaj   +1 more source

Analysis for Full-Field Photoacoustic Tomography with Variable Sound Speed. [PDF]

SIAM J Imaging Sci, 2022
Nguyen L, Haltmeier M, Kowar R, Do N.
europepmc   +1 more source

Observability and exponential stabilization of a wave system with dynamic boundary mass under PMGC: A Carleman approach

Results in Control and Optimization
This work investigates the exponential stability of waves propagating in an annular medium Ω , where the outer boundary Γ 1 is endowed with a significant mass density m > 0 , allowing it to resist changes in motion: if initially moving, it tends to ...
Kalifa Lassana Barry, Karima Laoubi, Salah Boulaaras   +2 more
doaj   +1 more source