Results 31 to 40 of about 9,235 (294)

Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]

, 2007
Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
core   +1 more source

Nonlinear Parabolic Equations with Regularized Derivatives

Journal of Mathematical Analysis and Applications, 1999
Nonlinear systems of differential equations \[ \partial_tu+\partial_xf(u)+g(u)=\Delta u\tag{1} \] are considered on \(\mathbb R_+^{n+1}\) \((t>0)\), where \(u=(u_1,\dots,u_m)^T\), \(f(u)=(f_1(u),\dots,f_n(u))^T\), \(\partial_xf(u)=\sum_{i=1}^n\partial_{x_i}f_i(u)\).
Wang, Y.G., Oberguggenberger, M.
openaire   +1 more source

An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type

, 2011
We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
H. Mustapha, Brunner, Hermann, Schoetzau, D, H. Brunner, D. Schötzau, Mustapha, Kassem, Mustapha, Hussein, K. Mustapha   +7 more
core   +1 more source

Finite element approximation of a nonlinear cross-diffusion population model [PDF]

, 2003
We consider a fully discrete finite element approximation of the nonlinear cross-diffusion population model: Find u i, the population of the ith species, i = 1 and 2, such that ∂ui ∂t −Δ [ ci ui + ai u2i + ui uj] − bi ∇.
John W. Barrett, Blowey, J.F., James F. Blowey, Blowey, JF, Barrett, J.W., John W. Barrett, Barrett, JW   +6 more
core   +1 more source

Carleman inequality for a class of super strong degenerate parabolic operators and applications

Electronic Journal of Qualitative Theory of Differential Equations, 2023
In this paper, we present a new Carleman estimate for the adjoint equations associated to a class of super strong degenerate parabolic linear problems. Our approach considers a standard geometric imposition on the control domain, which can not be removed
Bruno Sérgio Araújo, Reginaldo Demarque, Luiz Viana   +2 more
doaj   +1 more source

The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications

, 2008
This paper deals with a class of backward stochastic differential equations with Poisson jumps and with random terminal times. We prove the existence and uniqueness result of adapted solution for such a BSDE under the assumption of non-Lipschitzian ...
Mao, X., , NSF of Guangdong Province (Funder), Mao, Xuerong, Yin, J., NSF of Guangdong Province (Funder), Yin, Juliang   +5 more
core   +1 more source

Kelvin Probe Force Microscopy in Bionanotechnology: Current Advances and Future Perspectives

Advanced Materials, EarlyView.
Kelvin probe force microscopy (KPFM) enables the nanoscale mapping of electrostatic surface potentials. While widely applied in materials science, its use in biological systems remains emerging. This review presents recent advances in KPFM applied to biological samples and provides a critical perspective on current limitations and future directions for
Ehsan Rahimi, Mario Palacios‐Corella, Arjan Mol, Salvador Pané, Josep Puigmartí‐Luis   +4 more
wiley   +1 more source

Analysis of complex nonlinear reaction-diffusion equations [PDF]

, 2008
A mathematical analysis has been carried out for some nonlinear reaction- diffusion equations on open bounded convex domains Ω C R(^d)(d < 3) with Robin boundary conditions- Existence, uniqueness and continuous dependence on initial data of weak and ...
Al-Ofl, Abdalaziz Saleem
core  

A Model of Porous Catalyst Accounting for Incipiently Non-isothermal Effects*

, 1999
An approximate model accounting for incipiently non-isothermal effects is derived from a well-known model of porous catalyst for appropriate, realistic limiting values of the parameters.
Vega de Prada, José Manuel, Mancebo, Francisco J, Vega, José M, Mancebo, Francisco J.   +3 more
core   +1 more source

Directional Flow of Confined Polaritons in CrSBr

Advanced Materials, EarlyView.
CrSBr, a layered magnetic semiconductor, naturally channels self‐hybridized excitonpolaritons into highly directional flow. Its intrinsic optical anisotropy, high refractive index, and strong lightmatter coupling enable long‐range guided modes along the a‐axis, with propagation lengths set by their excitonphoton admixture.
Pratap Chandra Adak, Sichao Yu, Jaime Abad‐Arredondo, Biswajit Datta, Andy Cruz, Sorah Fischer, Kseniia Mosina, Zdeněk Sofer, Antonio I. Fernández‐Domínguez, Francisco J. Garcia‐Vidal, Vinod M. Menon   +10 more
wiley   +1 more source