Results 81 to 90 of about 1,295,553 (207)
Stochastic dynamics with singular lower order terms in finite and infinite dimensions [PDF]
, 2009 Jin P. Stochastic dynamics with singular lower order terms in finite and infinite dimensions. Bielefeld (Germany): Bielefeld University; 2009.In this work, we aim to study several stochastic dynamics with singular coefficients.
Jin, Peng
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Insensitizing controls for a class of quasilinear parabolic equations [PDF]
, 2012 This paper is addressed to showing the existence of insensitizing controls for a class of quasilinear parabolic equations with homogeneous Dirichlet boundary conditions.
Liu, Xu
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ON THE GLOBAL EXISTENCE OF SOLUTIONS TO QUASILINEAR PARABOLIC EQUATIONS [PDF]
Glasgow Mathematical Journal, 2004 The subject of the paper is the following quasilinear parabolic problem (P): \[ u_t - \text{div\,} (a(t,x,u) \nabla u) = f(t,x,u, \nabla u) \qquad \text{for} \quad t>0, \; x \in \Omega, \] \[ u(t,x) = 0 \quad \text{for} \quad t>0, \; x \in \partial \Omega, \qquad u(0,x) = \varphi (x) \quad \text{for} \quad x \in \bar \Omega.
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AIP Advances, 2016 In recent studies with nonlinear Rayleigh surface waves, harmonic generation measurements have been successfully employed to characterize material damage and microstructural changes, and found to be sensitive to early stages of damage process.
Hyunjo Jeong +3 more
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Resonance and Quasilinear Parabolic Partial Differential Equations
Journal of Differential Equations, 1993 For a certain quasilinear parabolic equation, the authors prove the existence of a weak periodic solution in an adequate Hilbert space under both resonance and nonresonance conditions. The results are obtained by using a Galerkin-type technique.
Lefton, L.E., Shapiro, V.L.
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Existence of the nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms [PDF]
, 2005 In this paper, we study the existence of nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms based on the theory of Leray-Schauder's ...
Ke, Yuanyuan +3 more
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Existence result for a nonlocal viscous Cahn-Hillard equation with a degenerate mobility [PDF]
, 2011 We study a diffusion model of phase field type, consisting of a system of two partial differential equations of second order for the particle densities and the viscosity variable, coupled by a nonlocal drift term.
Farshbaf-Shaker, Hassan
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Nonlinear multidimensional parabolic-hyperbolic equations
Electronic Journal of Differential Equations, 2007 This paper deals with the coupling of a quasilinear parabolic problem with a first order hyperbolic one in a multidimensional bounded domain $Omega$. In a region $Omega_{p}$ a diffusion-advection-reaction type equation is set while in the complementary ...
loria Aguilar +2 more
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On the Long-time Behaviour of the Quasilinear Parabolic Equation
, 2010 We study the long-time behaviour of the quasilinear parabolic equation involving weighted p-Laplacian operator. We prove that the multi-valued semi flow generated by this equation posseses a global attractor in L-2(R-n)
Khanmamedov, A. Kh., Geredeli, P. G.
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Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]
, 2012 We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type
Hu, Jiaxin +5 more
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