Results 91 to 100 of about 102,040 (246)

Existence and number of solutions to semilinear equations with applications to boundary-value problems

open access: yesElectronic Journal of Differential Equations, 2000
solutions to nonlinear equations and to (non)resonant semilinear equations involving nonlinear perturbations of Fredholm maps of index zero. We apply our results to semilinear elliptic, and to semilinear parabolic and hyperbolic periodic boundary-value ...
P. S. Milojevic
doaj  

A finite difference method for nonlinear parabolic-elliptic systems of second order partial differential equations [PDF]

open access: yesOpuscula 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
doaj  

Parabolic equations with critical nonlinearities

open access: yesTopological Methods in Nonlinear Analysis, 2003
The authors consider abstract semilinear evolutionary problems of the form \[ u_t+Au=F(u),\quad u(0)=u_0 \] with a positive definite selfadjoint operator \(A\) in a Hilbert space \(H\) and nonlinear term \(F.\) They study three examples of critical problems in which the nonlinearity has the same order of magnitude as the linear part.
Cholewa, Jan W., Dlotko, Tomasz
openaire   +3 more sources

Rational Design of Inverted F‐Type Heterojunctions for Photocatalytic Emerging Contaminant Degradation

open access: yesCarbon Energy, EarlyView.
The inverted F‐type ZnWO4/In2S3 heterojunction enables efficient charge separation and retention of strong oxidative capability through interfacial electric field regulation, leading to non‐toxic degradation of contaminants for sustainable water treatment.
Yanxian Jin   +9 more
wiley   +1 more source

3D‐Printed Coil Immobilized Enzyme Reactors for Laccase Biocatalysis in Single‐ and Two‐Phase Flow

open access: yesChemie Ingenieur Technik, EarlyView.
Development of 3D‐printed immobilized enzyme reactors functionalized with laccase for continuous‐flow biocatalysis. Surface coupling and reactor design enhanced stability and mass transfer, enabling efficient and reusable biocatalytic processes.
Alina J. Tauriainen   +4 more
wiley   +1 more source

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

open access: yesThe Canadian Journal of Chemical Engineering, EarlyView.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley   +1 more source

Bounded solutions of nonlinear parabolic equations

open access: yesElectronic Journal of Differential Equations, 2010
We are concerned with bounded solutions existing for all times for nonlinear parabolic equations with possibly nonlinear boundary conditions. A counterexample shows that, without an additional condition, a (weak) maximum principle does not hold for ...
Nsoki Mavinga, Mubenga N. Nkashama
doaj  

Some applications and maximum principles for multi-term time-space fractional parabolic Monge-Ampère equation

open access: yesDemonstratio Mathematica
This study first establishes several maximum and minimum principles involving the nonlocal Monge-Ampère operator and the multi-term time-space fractional Caputo-Fabrizio derivative.
Guan Tingting, Wang Guotao, Araci Serkan
doaj   +1 more source

On a nonlinear compactness lemma in Lp(0,T;B)

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
We consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic-parabolic type.
Emmanuel Maitre
doaj   +1 more source

Suprathermal Soliton Solutions to Nonlinear Schrödinger Equation

open access: yesContributions to Plasma Physics, EarlyView.
ABSTRACT Maxwell distributions are very difficult to find in the low‐pressure environment far away the Earth atmosphere, permeated by high temperatures, various types of radiation, highly energetic particles, space debris, and subjected to microgravity, presenting crucial challenges for spacecraft design and operations, and affecting astronaut's health.
F. E. M. Silveira   +2 more
wiley   +1 more source

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