Results 11 to 20 of about 241 (185)
Numerical quenching for a semilinear parabolic equation
Mathematical Modelling and Analysis, 2008 This paper concerns the study of the numerical approximation for the nonlinear parabolic boundary value problem with the source term leading to the quenching in finite time.
Diabate Nabongo, Theodore K. Boni
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A triviality result for semilinear parabolic equations
Mathematics in Engineering, 2022 We show a triviality result for "pointwise" monotone in time, bounded "eternal" solutions of the semilinear heat equation \begin{equation*} u_{t}=Δu + |u|^{p} \end{equation*} on complete Riemannian manifolds of dimension $n \geq 5$ with nonnegative Ricci tensor, when $p$ is smaller than the critical Sobolev exponent $\frac{n+2}{n-2}$.
Giovanni Catino +2 more
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On a semilinear parabolic equation [PDF]
Proceedings of the American Mathematical Society, 2006 We introduce a general class of potentials V = V ( x ,
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Heteroclinic Orbits of Semilinear Parabolic Equations
Journal of Differential Equations, 1996 The authors study attractors of semilinear parabolic problems \[ u_t= u_{xx}+ f(x, u, u_x),\;t> 0,\;0< x< 1,\quad u_x(t, 0)= u_x(t, 1)= 0. \] Here \(f\in C^2\) and appropriate dissipativity conditions are assumed so that the global attractor exists. It is known that the attractor consists of equilibria and heteroclinic orbits connecting them.
Fiedler, Bernold, Rocha, Carlos
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ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM
Ural Mathematical Journal, 2015 A reverse time problem is considered for a semilinear parabolic equation. Two-sided estimates are obtained for the norms of values of a nonlinear operator in terms of the norms of values of the corresponding linear operator.
Elena V. Tabarintseva
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Asymptotic speed of propagation for a viscous semilinear parabolic equation
ESAIM: Proceedings and Surveys, 2016 We characterize the asymptotic speed of propagation of almost planar solutions to a semilinear viscous parabolic equation, with periodic nonlinearity.
Cesaroni Annalisa +2 more
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Antiperiodic Problems for Nonautonomous Parabolic Evolution Equations
Abstract and Applied Analysis, 2014 This work focuses on the antiperiodic problem of nonautonomous semilinear parabolic evolution equation in the form u′(t)=A(t)u(t)+f(t,u(t)), t∈R, u(t+T)=-u(t), t∈R, where (At)t∈R (possibly unbounded), depending on time, is a family of closed and densely ...
R. N. Wang, Y. Zhou
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Mathematical Modelling and Analysis, 2020 In the paper, the stability and convergence of difference schemes approximating semilinear parabolic equation with a nonlocal condition are considered.
Regimantas Čiupaila +2 more
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The Global Dynamics of Discrete Semilinear Parabolic Equations [PDF]
SIAM Journal on Numerical Analysis, 1993 The authors consider a semilinear parabolic initial value problem possessing absorbing sets. The dynamical properties of various fininte difference and finite element schemes are analysed. The existence of absorbing sets, Lyapunov functions and attractors for the approximation are studied. The authors construct implicit schemes for which absorbing sets
Elliott, C. M., Stuart, A. M.
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Well-posedness of the solution of the fractional semilinear pseudo-parabolic equation
Boundary Value Problems, 2020 This article concerns the Cauchy problem for the fractional semilinear pseudo-parabolic equation. Through the Green’s function method, we prove the pointwise convergence rate of the solution.
Jiazhuo Cheng, Shaomei Fang
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