Existence results for a class of nonlinear parabolic equations in Orlicz spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2010 An existence result of a renormalized solution for a class of nonlinear parabolic equations in Orlicz spaces is proved. No growth assumption is made on the nonlinearities.
Hicham Redwane
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Mathematical and Numerical Analysis of a Pair of Coupled Cahn-Hilliard Equations with a Logarithmic Potential [PDF]
, 2010 Mathematical and numerical analysis has been undertaken for a pair of coupled Cahn-Hilliard equations with a logarithmic potential and with homogeneous Neumann boundary conditions. This pair of coupled equations arises in a phase separation model of thin
AL-GHAFLI, AHMED,ALI,M
core
Estimates for nonlinear parabolic equations.
, 1999 Summary: We study smooth non-negative solutions of the equation \(u_t=\partial_j a_j(u,\nabla u)+a_0(u,\Delta u)\) in the strip \(S_T= \mathbb{R}^d\times (0,T)\), \(d\geq 1\). A regularizing effect, pointwise estimates and gradient estimates are obtained.
Fabricant, A., Marinov, M., Rangelov, T.
openaire +2 more sources
Resonant Tunneling in Laser‐Dressed Double‐Barrier Nanostructures: Role of Potential Geometry
Advanced Physics Research, EarlyView.A schematic illustration of laser‐dressed double‐barrier nanostructures with rectangular, parabolic, and triangular potential profiles is presented. The intense laser field modifies the effective confinement potential, leading to a shift in resonance energies.
Recep Aydın, Mehmet Batı
wiley +1 more source
Repeating Nuclear Transients From Repeating Partial Tidal Disruption Events
Astronomische Nachrichten, EarlyView.ABSTRACT Extragalactic nuclear transients that exhibit repeating outbursts can be modeled as the repeated dynamical interaction between bound stars and supermassive black holes (SMBHs). A subset of these transients, with recurrence timescales of months‐to‐years, have been explained as accretion flares from the repeated tidal stripping of a star by an ...
Ananya Bandopadhyay +4 more
wiley +1 more source
Numerical solving of coupled systems of parabolic and ordinary differential equations
Nonlinear Analysis, 2010 Two coupled systems of parabolic and nonlinear ordinary differential equations arising in kinetics of heterogeneous reactions are studied numerically by using computer calculations. Some numerical results are discussed.
V. Skakauskas, P. Katauskis
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Extremal equilibria and asymptotic behavior of parabolic nonlinear reaction-diffusion equations
, 2005 Conference on Nonlinear Elliptic and Parabolic Problems. Zurich, SWITZERLAND. JUN 28-30, 2004.The authors find a growth condition on the nonlinear term f(x, u) of a nonlinear heat equation which ensures the existence of maximal and minimal equilibria ...
Rodríguez Bernal, Aníbal +1 more
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Weak solutions to a multi-phase field system of parabolic equations related to alloy solidification [PDF]
, 2007 Existence of weak solutions to a phase field model for solidification of alloys is studied. The model consists of balance equations for the energy and the concentrations of the alloy components which are coupled to a system of Allen-Cahn equations ...
Stinner, Björn
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Biotechnology and Bioengineering, EarlyView.ABSTRACT Oxygen supply is a critical parameter in 3D cell cultivation using bioreactors. Since bioreactor designs often prioritise practical constraints, understanding the oxygen supply dynamics of the media is crucial for achieving either uniform or spatially controlled oxygen delivery.
Franziska Alt +4 more
wiley +1 more source
A finite difference method for nonlinear parabolic-elliptic systems of second order partial differential equations [PDF]
Opuscula Mathematica, 2007 This paper deals with a finite difference method for a wide class of weakly coupled nonlinear second-order partial differential systems with initial condition and weakly coupled nonlinear implicit boundary conditions.
Marian Malec, Lucjan Sapa
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