Results 81 to 90 of about 14,488 (245)
Electronic Journal of Qualitative Theory of Differential Equations, 2010 In this paper, we consider a semilinear parabolic equation $$u_t=\Delta u+u^q\int_0^tu^p(x,s)ds,\quad x\in \Omega,\quad t>0$$ with nonlocal nonlinear boundary condition $u|_{\partial\Omega\times(0,+\infty)}=\int_\Omega\varphi(x,y) u^l(y,t)dy$ and ...
Dengming Liu, Chunlai Mu
doaj +1 more source
Markov Perfect Nash Equilibrium in stochastic differential games as solution of a generalized Euler Equations System [PDF]
This paper gives a new method to characterize Markov Perfect Nash Equilibrium in stochastic differential games by means of a set of Generalized Euler Equations.
Juan Pablo Rincón-Zapatero +1 more
core
A Liouville theorem for ancient solutions to a semilinear heat equation and its elliptic counterpart
, 2020 We establish the nonexistence of nontrivial ancient solutions to the nonlinear heat equation $u_t=\Delta u+|u|^{p-1}u$ which are smaller in absolute value than the self-similar radial singular steady state, provided that the exponent $p$ is strictly ...
Sourdis, Christos
core
International Journal of Energy Research, Volume 2025, Issue 1, 2025.This study thoroughly examines a technology that uses geothermal and solar energy to generate freshwater and electricity simultaneously. It explores this novel system’s economic and environmental facets. To assess the thermodynamic properties of the system, a complex thermodynamic model is created using MATLAB and verified using Thermoflex software ...
Mohammad Lotfalipour +2 more
wiley +1 more source
Very Singular Similarity Solutions and Hermitian Spectral Theory for Semilinear Odd-Order PDEs [PDF]
, 2009 Very singular self-similar solutions of semilinear odd-order PDEs are studied on the basis of a Hermitian-type spectral theory for linear rescaled odd-order operators.Comment: 49 pages, 12 ...
B Dy, R. S. Fernandes, V. A. Galaktionov
core
Hierarchical control for the semilinear parabolic equations with interior degeneracy [PDF]
, 2023 Hang Gao, Wei Yang, Muming Zhang
openalex +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This study investigates the numerical solution of two‐dimensional parabolic convection–diffusion–reaction (CDR) equations with variable coefficients using the finite difference method (FDM) and the finite element method (FEM). The FDM employs central differences for spatial discretization and the implicit Euler method for time integration, while the ...
Endalew Getnet Tsega, Md. Kamrujjaman
wiley +1 more source
Attractors for Nonautonomous Parabolic Equations without Uniqueness
International Journal of Differential Equations, 2010 Using the theory of uniform global attractors of multivalued semiprocesses, we prove the existence of a uniform global attractor for a nonautonomous semilinear degenerate parabolic equation in which the conditions imposed on the nonlinearity provide the ...
Cung The Anh, Nguyen Dinh Binh
doaj +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In this work, consideration is given to the initial value problem associated with the periodic fifth‐order KdV–BBM equation. It is shown that the uniform radius of spatial analyticity σ(t) of solution at time t is bounded from below by ct−2/3 (for some c > 0), given initial data η0 that is analytic on the circle and has a uniform radius of spatial ...
Tegegne Getachew, Giovanni P. Galdi
wiley +1 more source
Existence of solutions to Burgers equations in a non-parabolic domain
Electronic Journal of Differential Equations, 2018 In this article, we study the semilinear Burgers equation with time variable coefficients, subject to boundary condition in a non-parabolic domain. Some assumptions on the boundary of the domain and on the coefficients of the equation will be imposed.
Yassine Benia, Boubaker-Khaled Sadallah
doaj