Dynamics for stochastic Fitzhugh–Nagumo systems with general multiplicative noise on thin domains
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DOI: 10.1002/mma.7092
Abstract: This paper is devoted to studying the dynamics for stochastic Fitzhugh–Nagumo equations with general multiplicative noise on thin domains, where the noise is described by a general stochastic process instead of the usual Wiener process.… read more here.
Keywords: thin domains; general multiplicative; stochastic fitzhugh; multiplicative noise ... See more keywords
Regular random attractors for non-autonomous stochastic evolution equations with time-varying delays on thin domains
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DOI: 10.1063/5.0010398
Abstract: This paper deals with the limiting dynamical behavior of non-autonomous stochastic reaction–diffusion equations with time-varying delays on thin domains. First, we prove the existence and uniqueness of the regular random attractor. Then, we prove the… read more here.
Keywords: thin domains; autonomous stochastic; time varying; non autonomous ... See more keywords
Asymptotic behavior of non-autonomous stochastic complex Ginzburg–Landau equations on unbounded thin domains
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DOI: 10.1063/5.0037663
Abstract: This paper mainly investigates the asymptotic behavior of non-autonomous stochastic complex Ginzburg–Landau equations on unbounded thin domains. We first prove the existence and uniqueness of random attractors for the considered equation and its limit equation.… read more here.
Keywords: asymptotic behavior; thin domains; autonomous stochastic; stochastic complex ... See more keywords
Low Mach number limit on thin domains
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DOI: 10.1088/1361-6544/ab52df
Abstract: We consider the compressible Navier-Stokes system describing the motion of a viscous fluid confined to a straight layer $\Omega_{\delta}=(0,\delta)\times\mathbb{R}^2$. We show that the weak solutions in the 3D domain converge strongly to the solution of… read more here.
Keywords: limit thin; thin domains; low mach; number ... See more keywords