1,721,017 research outputs found
A global nonexistence theorem for quasilinear evolution equations with dissipation
No full textLevine, H.A.; Serrin, J.. (1995). A global nonexistence theorem for quasilinear evolution equations with dissipation. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/2801
Asymptotic stability for non-autonomous damped wave systems
No full textWe study the problem of asymptotic stability, as time tends to infinity, of solutions of dissipative wave systems, governed by time-dependent nonlinear damping forces and subject to the action of strongly nonlinear potential energies. In the final part of the paper we also consider the case of polyharmonic wave operators and higher-order dissipation terms. With appropriate choices of the auxiliary function k we obtain a number of useful special cases of Theorems 1 and 2. The linear case and the case when n=1 are treated in detail
Precise damping conditions for global asymptotic stability of second order systems
No full textThe global asymptotic stability of the rest point for nonlinear equations has been treated by Levin and Nohel, Salvadori, Thurston and Wong, Artstein and Infante, and Ballieu
and Peiffer. These studies have been generalized to scalar variational problems and to variational systems by ourserves in two previous papers. Here we shall unify and further extend this work, by obtaining necessary and sufficient conditions for the asymptotic stability of solutions of
quasi-variational systems in terms of the damping functions of the systems treated
Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters
No full textOn the Thermodynamics of Interstitial Working
No full textIn order to model fluid capillarity effects, the Dutch physicist Korteweg formulated in 1901 a constitutive equation for the Cauchy stress that included density gradients. Specifically, Koretweg proposed for study a compressible fluid model in which the "elastic" or "equilibrium" portion of the Cauchy stress tensor T is given byDunn, J.E.; Serrin, J.. (1983). On the Thermodynamics of Interstitial Working. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4431
Existence of ground states and free boundary problems for quasilinear elliptic operators
No full textWe prove the existence of non-negative non-trivial solutions of the quasilinear equation ¢mu + f(u) = 0 in Rn and of its associated free boundary problem, where ¢m denotes the m-Laplace operator. The nonlinearity f(u), de-flned for u> 0, is required to be Lipschitz continuous on (0;1), and in L1 on (0; 1) with R u 0 f(s) ds < 0 for small u> 0; the usual condition f(0) = 0 is thus com-pletely removed. When n> m, existence is established essentially for all subcritical behavior of f as u! 1, and, with some further restrictions, even for critical and supercritical behavior. When n = m we treat various exponential growth condi-tions for f as u! 1, while when n < m no growth conditions of any kind are required for f. The proof of the main results moreover yield as a byproduct an a priori estimate for the supremum of a ground state in terms of n, m and elementary parameters of the nonlinearity. Our results are thus new and unexpected even for the semilinear equation ¢u+ f(u) = 0. The proofs use only straightforward and simple techniques from the theory of ordinary difierential equations; unlike well known earlier demonstrations of the existence of ground states for the semilinear case, we rely neither on critical point theory [6] nor on the Emden-Fowler inversion technique [2, 3]
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Comparison principle, uniqueness and symmetry of entire solutions of quasilinear elliptic equations and inequalities
No full textwe prove comparison principles, uniqueness results and symmetry properties of solutions of general classes of quasilinear coercive problem
Variations on the Author
Get PDF“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
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