Results 211 to 220 of about 2,128,627 (261)
Soliton management in a variable-coefficient coupled dispersionless system via Darboux transformation. [PDF]
Sci RepRiaz HWA, Yildirim Y, Alshuhail A.
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Finite-Time Thermodynamics of Battery Discharging: Power-Efficiency Trade-Off and Optimization. [PDF]
Entropy (Basel)Liu RH, Lin YQ, Ma YH.
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Investigation of nano-particle effects on cold storage performance using finite element modeling. [PDF]
Sci RepAlmitani KH +5 more
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A two-species competition model on a compact metric graph for the invasion and competition of Aedes Aegypti and Aedes Albopictus mosquitoes in Florida. [PDF]
J Math BiolTian C, Zou L, Ruan S.
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PARABOLIC EQUATIONS WITH NONLINEAR SINGULARITIES
, 2009 Martínez-Aparicio, Pedro J. +1 more
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A Nonlinear Parabolic Equation with Noise
Potential Analysis, 2000The authors consider the semilinear stochastic parabolic partial differential equation (PDE, in short) with multiplicative white noise \[ \partial_t \varphi+ \sum^d_{k=1} \partial_k\bigl(f(t,x, \varphi(t,x) \bigr)= \nu\sum^d_{k=1} \partial^2_{x_k} \varphi+\sigma (t)\varphi(t,x)\dot W_t, \quad (t,x) \in[0,T] \times\mathbb{R}^n, \] where the stochastic ...
Benth, Fred Espen, Gjessing, Håkon K.
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1985
In this chapter we wish to consider the nonlinear parabolic equation $$ \begin{gathered} {{u}_{t}} - {{u}_{{xx}}} = g(u) \hfill \\ u(0, t) = u(1,t) = 0 \hfill \\ \mathop{{\lim }}\limits_{{t \to 0}} u(x,t) = f(x) \hfill \\ \end{gathered} $$ (1) We wish to establish an analogue of the classical PoincareLyapunov theorem:If \(g\left( u \right ...
Richard Bellman, George Adomian
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In this chapter we wish to consider the nonlinear parabolic equation $$ \begin{gathered} {{u}_{t}} - {{u}_{{xx}}} = g(u) \hfill \\ u(0, t) = u(1,t) = 0 \hfill \\ \mathop{{\lim }}\limits_{{t \to 0}} u(x,t) = f(x) \hfill \\ \end{gathered} $$ (1) We wish to establish an analogue of the classical PoincareLyapunov theorem:If \(g\left( u \right ...
Richard Bellman, George Adomian
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STABILIZATION OF NONLINEAR PARABOLIC EQUATIONS
IFAC Proceedings Volumes, 1983Abstract We are concerned with the possibility of constructing implementable feedback control laws to stabilize ů + Au = f(u), primarily through the boundary conditions. Semigroup methods are employed to reduce the semi- linear problem to a linear one, to show stabilizability of certain parabolic problems by feedback and, finally, to show for the one-
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Nonlinear Degenerate Parabolic Equations
Acta Mathematica Hungarica, 1997The author proves the existence of weak solutions of the nonlinear degenerate parabolic initial-boundary value problem \[ {{\partial u}\over{\partial t}} - \sum_{i=1}^N D_iA_i(x,t,u,Du) + A_0(x,t,u,Du) = f(x,t)\quad\text{ in }\Omega\times(0,T), \] \[ u(x,0) = u_0(x)\quad \hbox{ in }\Omega, \] in the space \(L^p(0,T,W^{1,p}_0(v,\Omega))\), where ...
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