Results 31 to 40 of about 2,210 (114)
The fractional Keller-Segel model [PDF]
, 2006 The Keller-Segel model is a system of partial differential equations modelling chemotactic aggregation in cellular systems. This model has blowing up solutions for large enough initial conditions in dimensions d >= 2, but all the solutions are regular in
Brenner M P +9 more
core +1 more source
Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation
Abstract and Applied Analysis, Volume 2003, Issue 9, Page 521-538, 2003., 2003 We consider a nonlinear parabolic equation involving nonmonotone diffusion. Existence and uniqueness of solutions are obtained, employing methods for semibounded evolution equations. Also shown is the existence of a global attractor for the corresponding dynamical system.
Nikos Karachalios +2 more
wiley +1 more source
Abstract and Applied Analysis, Volume 7, Issue 9, Page 453-473, 2002., 2002 In a real separable Hilbert space, we consider nonautonomous evolution equations including time‐dependent subdifferentials and their nonmonotone multivalued perturbations. In this paper, we treat the multivalued dynamical systems associated with time‐dependent subdifferentials, in which the solution is not unique for a given initial state.
Noriaki Yamazaki
wiley +1 more source
Critical Exponents of Semilinear Equations via the Feynman-Kac Formula [PDF]
, 2007 2000 Mathematics Subject Classification: 60H30, 35K55, 35K57 ...
Alfredo Lopez-Mimbela, Jose +1 more
core
Remarks on blow up time for solutions of a nonlinear diffusion system with time dependent coefficients [PDF]
, 2011 2000 Mathematics Subject Classification: 35K55, 35K60.We investigate the blow-up of the solutions to a nonlinear parabolic system with Robin boundary conditions and time dependent coefficients.
Marras, M.
core
Lie Symmetry Analysis of a Nonlinear Black–Scholes Equation in Illiquid Markets
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.We have conducted comprehensive Lie symmetry analysis of a nonlinear Black–Scholes equation that arises in illiquid markets. The equation incorporates nonlinearities arising from market constraints, such as transaction costs and liquidity effects.
Winter Sinkala, Theodore Simos
wiley +1 more source
On the structure of the solution set of evolution inclusions with Fréchet subdifferentials
International Journal of Stochastic Analysis, Volume 13, Issue 1, Page 51-72, 2000., 2000 In this paper we consider a Cauchy problem in which is present an evolution inclusion driven by the Fréchet subdifferential o ∂−f of a function f : Ω → R ∪ {+∞} (Ω is an open subset of a real separable Hilbert space) having a φ‐monotone . subdifferential of order two and a perturbation F : I × Ω → Pfc(H) with nonempty, closed and convex values.
Tiziana Cardinali
wiley +1 more source
Advanced Nonlinear Studies, 2020 In this paper, we study global well-posedness and long-time asymptotic behavior of solutions to the nonlinear heat equation with absorption, ut-Δu+|u|αu=0{u_{t}-\Delta u+\lvert u\rvert^{\alpha}u=0}, where u=u(t,x)∈ℝ{u=u(t,x)\in\mathbb{R}}, (t,x)∈(0,∞)×
Mouajria Hattab +2 more
doaj +1 more source
The Tychonoff uniqueness theorem for the G-heat equation
, 2011 In this paper, we obtain the Tychonoff uniqueness theorem for the G-heat ...
A. N. Tychonoff +13 more
core +1 more source
Attractors of multivalued semiflows generated by differential inclusions and their approximations
Abstract and Applied Analysis, Volume 5, Issue 1, Page 33-46, 2000., 2000 We prove the existence of global compact attractors for differential inclusions and obtain some results concerning the continuity and upper semicontinuity of the attractors for approximating and perturbed inclusions. Applications are given to a model of regional economic growth.
Alexei V. Kapustian, José Valero
wiley +1 more source