Results 21 to 30 of about 192,670 (225)

Finitary Topos for Locally Finite, Causal and Quantal Vacuum Einstein Gravity

, 2005
Previous work on applications of Abstract Differential Geometry (ADG) to discrete Lorentzian quantum gravity is brought to its categorical climax by organizing the curved finitary spacetime sheaves of quantum causal sets involved therein, on which a ...
Raptis, Ioannis
core   +4 more sources

Continuous, Semi-discrete, and Fully Discretized Navier-Stokes Equations

, 2018
The Navier--Stokes equations are commonly used to model and to simulate flow phenomena. We introduce the basic equations and discuss the standard methods for the spatial and temporal discretization.
AJ Chorin, AJ Chorin, BR Noack, C Taylor, CHK Williamson, E Emmrich, E Hairer, E Hairer, F Brezzi, H Fujita, HC Elman, J Shen, J-P Raymond, JC Heinrich, JG Heywood, JH Ferziger, L Saint-Raymond, L Tartar, M Arnold, M Braack, M Hinze, O Reynolds, OA Ladyzhenskaya, P Benner, P Kunkel, P Kunkel, P Kunkel, P Kunkel, PA Nguyen, PG Ciarlet, PM Gresho, R Altmann, R Altmann, S Campbell, SE Mattsson, V Brasey, W Layton, X He   +37 more
core   +1 more source

Linear Pantographic Sheets: Existence and Uniqueness of Weak Solutions [PDF]

, 2018
The well-posedness of the boundary value problems for second gradient elasticity has been studied under the assumption of strong ellipticity of the dependence on the second placement gradients (see, e.g., Chambon and Moullet in Comput. Methods Appl. Mech.
Boutin, Claude, Dell’Isola, Francesco, Eremeyev, Victor A., Steigmann, David   +3 more
core   +1 more source

Relaxation Methods for Mixed-Integer Optimal Control of Partial Differential Equations

, 2012
We consider integer-restricted optimal control of systems governed by abstract semilinear evolution equations. This includes the problem of optimal control design for certain distributed parameter systems endowed with multiple actuators, where the task ...
A. Bensoussan, A. Pazy, D. Leineweber, E. Zuazua, F. Tröltzsch, F.M. Hante, F.M. Hante, F.M. Hante, F.S. Blasi de, Falk M. Hante, H. Bock, H. Frankowska, K. Malanowski, M. Gugat, M. Hinze, M. Sint Annaland van, O.V. Iftime, P.I. Kogut, P.N. Brown, S. Engell, S. Sager, S. Sager, S. Sager, S. Sager, S. Sager, S.G. Kreĭn, Sebastian Sager, T. Sakata, X.J. Li, Y. Kawajiri   +29 more
core   +1 more source

Unbounded rough drivers [PDF]

, 2017
We propose a theory of linear differential equations driven by unbounded operator-valued rough signals. As an application we consider rough linear transport equations and more general linear hyperbolic symmetric systems of equations driven by time ...
Bailleul, I., Gubinelli, M.
core   +5 more sources

Evolution Equations with Liouville Derivative on $\mathbb{R}$ without Initial Conditions

Mathematics
New classes of evolution differential equations with the Liouville derivative in Banach spaces are studied. Equations are considered on the whole real line and are not endowed by the initial conditions.
Vladimir E. Fedorov, Nadezhda M. Skripka
doaj   +1 more source

Limit operators, collective compactness, and the spectral theory of infinite matrices [PDF]

, 2010
In the first half of this memoir we explore the interrelationships between the abstract theory of limit operators (see e.g. the recent monographs of Rabinovich, Roch and Silbermann (2004) and Lindner (2006)) and the concepts and results of the ...
Chandler-Wilde, Simon N., Lindner, Marko
core   +3 more sources

Efficacy and Safety Analysis of Roxarestat in Regulating Renal Anemia in Patients on Maintenance Hemodialysis

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Objective To compare the efficacy and safety of roxarestat versus recombinant human erythropoietin (rhEPO) in the management of renal anemia in patients undergoing maintenance hemodialysis. Methods This was a prospective, open‐label, randomized controlled trial.
Lingling Chen, Junjie Zhu, Qiaonan Ge
wiley   +1 more source

Effects of the Fluid Replacement Method During Online Hemodiafiltration on the Solute Removal Performance and Biocompatibility Using the Asymmetric Cellulose Triacetate Membrane

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Pre‐dilution online hemodiafiltration (Pre‐HDF) is predominantly used in Japan, whereas post‐dilution online HDF (Post‐HDF) is more common in Europe. An asymmetric cellulose triacetate (ATA) membrane may improve biocompatibility.
Kenji Sakurai, Yoshitaka Kurihara, Fumi Yamauchi, Hiromi Hosoya, Takeshi Saito   +4 more
wiley   +1 more source

Mapping the evolution of mitochondrial complex I through structural variation

FEBS Letters, EarlyView.
Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin, Tingting Chen, James A. Letts   +2 more
wiley   +1 more source