Results 41 to 50 of about 602 (72)
, 2011 The initial boundary value problem for a system of viscoelastic wave equations of Kirchhoff type with strong damping is considered. We prove that, under suitable assumptions on relaxation functions and certain initial data, the decay rate of the ...
Agre K +14 more
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A Remark on Unconditional Uniqueness in the Chern-Simons-Higgs Model [PDF]
, 2013 The solution of the Chern-Simons-Higgs model in Lorenz gauge with data for the potential in $H^{s-1/2}$ and for the Higgs field in $H^s \times H^{s-1}$ is shown to be unique in the natural space $C([0,T];H^{s-1/2} \times H^s \times H^{s-1})$ for $s \ge 1$
Daniel +2 more
core
General decay of solutions for a nonlinear viscoelastic wave equation with nonlocal boundary damping
, 2014 In this work we show that under weaker assumptions on the memory kernel g, exponential and polynomial decay rates of the solution energy in Li and Zhao [8] are only special cases. Our result improves earlier results in the literature.
F. Tahamtani, A. Peyravi
semanticscholar +1 more source
Global existence and blow-up of solutions for a nonlinear wave equation with memory
Journal of Inequalities and Applications, 2012 In this article, we consider the nonlinear viscoelastic equation utt-Δu+∫0tg(t-τ)Δu(τ)dτ-ωΔut+μut=up-2u with initial conditions and Dirichlet boundary conditions. We first prove a local existence theorem and show, for some appropriate assumption on g and
F. Liang, Hongjun Gao
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, 2007 We describe the asymptotic behavior as time goes to infinity of solutions of the 2 dimensional corotational wave map system and of solutions to the 4 dimensional, radially symmetric Yang-Mills equation, in the critical energy space, with data of energy ...
C.E. Kenig +10 more
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Global existence and lifespan for semilinear wave equations with mixed nonlinear terms
, 2019 Firstly, we study the equation $\square u = |u|^{q_c}+ |\partial u|^p$ with small data, where $q_c$ is the critical power of Strauss conjecture and $p\geq q_c.$ We obtain the optimal lifespan $\ln({T_\varepsilon})\approx\varepsilon^{-q_c(q_c-1)}$ in $n=3$
Dai, Wei, Fang, Daoyuan, Wang, Chengbo
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Computational and Mathematical BiophysicsThis study presents a mathematical model of glioma growth dynamics with drug resistance, capturing interactions among five cell populations – glial cells, sensitive and resistant glioma cells, endothelial cells, and neurons – alongside chemotherapy and ...
Hanum Latifah +2 more
doaj +1 more source
A coupled system of mKdV-KdV equations with damping
Applied Mathematics in Science and EngineeringIn this paper, we study the influence of a damping term on the dynamics of a coupled Korteweg–de Vries type system, namely the mKdV–KdV system, posed on the real line.
Aissa Boukarou +3 more
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Demonstratio MathematicaIn previous work, Fayssal considered a thermoelastic laminated beam with structural damping, where the heat conduction is given by the classical Fourier’s law and acting on both the rotation angle and the transverse displacements established an ...
Derguine Mustafa +2 more
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Existence of global solutions to a quasilinear wave equation with general nonlinear damping
Electronic Journal of Differential Equations, 2002 In this paper we prove the existence of a global solution and study its decay for the solutions to a quasilinear wave equation with a general nonlinear dissipative term by constructing a stable set in $H^{2}cap H_{0}^{1}$.
Mohammed Aassila, Abbes Benaissa
doaj