Results 51 to 60 of about 57,321 (196)

Diffusion-Wave Type Solutions to the Second-Order Evolutionary Equation with Power Nonlinearities

Mathematics, 2022
The paper deals with a nonlinear second-order one-dimensional evolutionary equation related to applications and describes various diffusion, filtration, convection, and other processes.
Alexander Kazakov, Anna Lempert
doaj   +1 more source

Covariant Perturbations of Schwarzschild Black Holes [PDF]

, 2002
We present a new covariant and gauge-invariant perturbation formalism for dealing with spacetimes having spherical symmetry (or some preferred spatial direction) in the background, and apply it to the case of gravitational wave propagation in a ...
Acernese F, Ando M, Barish B, Bruni M, Bruni M, Challinor A D, Chandrasekhar S, Chris A Clarkson, Ellis G F R, Ellis G F R, Gerlach U H, Gerlach U H, Greenberg P J, Gundlach C, Gundlach C, Jezierski J, Kokkotas K D, Liu H, Maartens R, Mason D P, Nollert H P, Nollert H P, Price R H, Richard K Barrett, Sarbach O, Stewart J M, Thorne K S, Tsamparlis M, van Elst H, van Elst H, Willke B, Zafiris E, Zerilli F J   +32 more
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Scalar fields on SL(2,R) and H^2 x R geometric spacetimes and linear perturbations

, 2004
Using appropriate harmonics, we study the future asymptotic behavior of massless scalar fields on a class of cosmological vacuum spacetimes. The spatial manifold is assumed to be a circle bundle over a higher genus surface with a locally homogeneous ...
Andersson L, Ashtekar A, Bonanos S, Buser P, Cahen M, Cesari L, Ellis G F R, Fischer A E, Jantzen R T, Kodama H, Koike T, Masayuki Tanimoto, Moncrief V, Newman E, Penrose R, Rendall A D, Ringström H, Scott P, Stephani H, Sugiura M, Tanimoto M, Tanimoto M, Tanimoto M, Tanimoto M, Tanimoto M, Taylor M E, Thurston W P, Wald R M   +27 more
core   +1 more source

Multiple Fields in Stochastic Inflation [PDF]

, 2016
Stochastic effects in multi-field inflationary scenarios are investigated. A hierarchy of diffusion equations is derived, the solutions of which yield moments of the numbers of inflationary $e$-folds.
Assadullahi, Hooshyar, Firouzjahi, Hassan, Noorbala, Mahdiyar, Vennin, Vincent, Wands, David   +4 more
core   +3 more sources

Isotropic stars in general relativity

, 2013
We present a general solution of the Einstein gravitational field equations for the static spherically symmetric gravitational interior spacetime of an isotropic fluid sphere.
Harko, T., Mak, M. K.
core   +1 more source

Second-order boundary-value problems with variable exponents

Electronic Journal of Differential Equations, 2014
In this article, we study ordinary differential equations with p(x)-Laplacian and subject to small perturbations of nonhomogeneous Neumann conditions.
Giuseppina D'Agui
doaj  

A Dialogue of Multipoles: Matched Asymptotic Expansion for Caged Black Holes [PDF]

, 2004
No analytic solution is known to date for a black hole in a compact dimension. We develop an analytic perturbation theory where the small parameter is the size of the black hole relative to the size of the compact dimension. We set up a general procedure
A. Erdélyi, A. Erdélyi, A. Ishibashi, A. Ronveaux ed., B. Kol, B. Kol, B. Kol, B. Kol, B. Kol, Barak Kol, C. Müller, D. Gorbonos, D. Karasik, Dan Gorbonos, E. Poisson, E. Sorkin, E. Sorkin, E. Sorkin, F.R. Tangherlini, H. Kodama, H. Kodama, H. Kodama, H. Kudoh, H. Kudoh, H. Kudoh, K. Alvi, M.W. Choptuik ., P.-J. De Smet, R.C. Myers, R.M. Wald, R.M. Wald, S.S. Gubser, T. Damour, T. de Donder, T. Harmark, T. Harmark, T. Wiseman, T. Wiseman, U.H. Gerlach, V. Fock, V. Fock, Z.X. Wang   +41 more
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Vulnerabilities in the tau network and the role of ultrasensitive points in tau pathophysiology. [PDF]

PLoS Computational Biology, 2010
The multifactorial nature of disease motivates the use of systems-level analyses to understand their pathology. We used a systems biology approach to study tau aggregation, one of the hallmark features of Alzheimer's disease.
Theresa M Yuraszeck, Pierre Neveu, Maria Rodriguez-Fernandez, Anne Robinson, Kenneth S Kosik, Francis J Doyle   +5 more
doaj   +1 more source

Separating metric perturbations in near-horizon extremal Kerr spacetimes [PDF]

, 2017
Linear perturbation theory is a powerful toolkit for studying black hole spacetimes. However, the perturbation equations are hard to solve unless we can use separation of variables.
Chen, Baoyi, Stein, Leo C.
core   +1 more source

Superheating field of superconductors within Ginzburg-Landau theory

, 2010
We study the superheating field of a bulk superconductor within Ginzburg-Landau theory, which is valid near the critical temperature. We calculate, as functions of the Ginzburg-Landau parameter $\kappa$, the superheating field $\Hsh$ and the critical ...
Catelani, Gianluigi, Sethna, James P., Transtrum, Mark K.   +2 more
core   +1 more source