Results 31 to 40 of about 3,896 (168)
Explicit solutions for critical and normal depths in trapezoidal and parabolic open channels
Ain Shams Engineering Journal, 2013 Normal and critical depths are important parameters in the design of open channels and analysis of gradually varied flow. In trapezoidal and parabolic channels, the governing equations are highly nonlinear in the normal and critical flow depths and thus ...
Ali R. Vatankhah
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A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation
Abstract and Applied Analysis, 2015 The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly ...
Wenyuan Liao
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Karpatsʹkì Matematičnì Publìkacìï, 2016 An optimal control problem for systems described by Fourier problem for nonlinear parabolic equations is studied. Control functions occur in the coefficients of the state equations. The existence of the optimal control in the case of final observation is
M.M. Bokalo, A.M. Tsebenko
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REGULARITY OF SOLUTIONS OF NONLINEAR PARABOLIC EQUATIONS
Demonstratio Mathematica, 2001 The author studies the smoothness of the solutions for the Cauchy problem of the type \[ \dot{u}+ A u=F(u), \quad t>0, \qquad u(0)=u_0 \] where \(A\) is an abstract counterpart of an elliptic operator. It is obtained a necessary and sufficient condition or higher-order regularity of solutions for that problem.
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AxiomsThe Monge–Ampère operator, as a nonlinear operator embedded in parabolic differential equations, complicates the demonstration of maximal regularity for these equations.
Xingyu Liu
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An interior estimate for a nonlinear parabolic equation
Journal of Mathematical Analysis and Applications, 2003 In this paper there are estimated the derivatives of the solution of an initial boundary value problem for a nonlinear uniformly parabolic equation in the interior with the total variation of the boundary data and the L^{infinity}-norm of the initial condition.
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Cauchy problem for some fractional nonlinear ultra-parabolic equations
Electronic Journal of Differential Equations, 2016 Blowing-up solutions to nonlocal nonlinear ultra-parabolic equations is presented. The obtained results will contribute in the development of ultra-parabolic equations and enrich the existing non-extensive literature on fractional nonlinear ultra ...
Fatma Al-Musalhi, Sebti Kerbal
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Nonlinear parabolic equations, relaxation and roughness
Bulletin des Sciences Mathématiques, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aubin, Thierry +2 more
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Parabolic Itô equations with monotone nonlinearities
Journal of Functional Analysis, 1978 AbstractIn this paper the equation ut = Lu − F(u) + α(t, ω) is studied, where u(t) ϵ B0 a Banach space. L is an unbounded self-adjoint negative definite operator. F is a monotone nonlinear potential operator. α(t, ω) is a white noise process on B0. With suitable further restrictions on L and F it is proved that the equation has a unique solution. As t →
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THE SIMILARITY SOLUTION FOR NONLINEAR PARABOLIC EQUATION
Tamkang Journal of Mathematics, 1994 We study the properties of Lie group and investigate the similarities of the flow of ground water equation in the form \[h_t=\frac{k}{2m}[h^2_{xx}+h^2_{yy}] .\]
Khalifa, M. E. +2 more
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