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51.
Solomonik I. G. Kurlyandskaya I. I. Yakerson V. I. Kudryavtseva T. F. Ashavskaya G. A. Frid M. R. Treger Yu. A. Sonin É. V. 《Russian Chemical Bulletin》1984,33(11):2222-2226
Russian Chemical Bulletin - 相似文献
52.
Hermano Frid Neto 《Bulletin of the Brazilian Mathematical Society》1988,19(1):39-59
In this paper we prove an uniqueness and stability theorem for the solutions of Cauchy problem for the systems $$\frac{\partial }{{\partial t}}u + \sum\limits_{i = 1}^n { \frac{\partial }{{\partial x_i }} } f^i (x,t,u) = g(x,t,u),$$ whereu is a vector function (u 1 (x, t),..., u r (x, t)),f i =(a 1 i (x, t, u),..., a r i (x, t, u)), i=1,...,n, g=(g 1 (x, t, u),...,g r (x, t, u),i G ? n and t≥0. We use the concept of entropy solution introduced by Kruskov and improved by Lax, Dafermos and others autors. We assume that the Jacobian matricesf u i are symmetric and the Hessian(a j i ) uu (i=1,...,n; j=1,...,r) are positive. We obtain uniqueness and stability inL loc 2 within the class of those entropy solutions which satisfy $$\frac{{u_j (---,x_i ,---,t)---u_j (---,y_i ,---,t)}}{{x_i - y_i }} \geqslant - K(t),$$ (i=1,...,n; j=1,...,r) for (?,x i ,?,t), (?,y i ,?,t) on a compact setD ? ? n x (0, ∞) and a functionK(t)∈L loc 1 ([0, ∞)) depending onD. Here we denote by (?,x i ,?,t) and (?,y i ,?,t) two points whose coordinates only differ in thei-th space variable. At the end we relax the hypotheses of symmetry and convexity on the system and give a theorem of uniqueness and stability for entropy solutions which are locally Lipschitz continuous on a strip ? n x [0,T]. 相似文献
53.
L<Superscript>1</Superscript> Stability of Spatially Periodic Solutions in Relativistic Gas Dynamics
Daniela Calvo Rinaldo M. Colombo Hermano Frid 《Communications in Mathematical Physics》2008,284(2):509-535
This paper proves the well posedness of spatially periodic solutions of the relativistic isentropic gas dynamics equations.
The pressure is given by a γ-law with initial data of large amplitude, provided γ − 1 is sufficiently small. As a byproduct of our techniques, we obtain the same results for the classical case. At the limit
c → + ∞, the solutions of the relativistic system converge to the solutions of the classical one, the convergence rate being
1/c
2. We also construct the semigroup of solutions of the Cauchy problem for initial data with bounded total variation, which
can be large, as long as γ − 1 is small. 相似文献
54.
João Paulo Dias Mário Figueira Hermano Frid 《Archive for Rational Mechanics and Analysis》2010,196(3):981-1010
Motivated by Benney’s general theory, we propose new models for short wave–long wave interactions when the long waves are
described by nonlinear systems of conservation laws. We prove the strong convergence of the solutions of the vanishing viscosity
and short wave–long wave interactions systems by using compactness results from compensated compactness theory and new energy
estimates obtained for the coupled systems. We analyze several of the representative examples, such as scalar conservation
laws, general symmetric systems, nonlinear elasticity and nonlinear electromagnetism. 相似文献
55.
56.
57.
Hermano?FridEmail author Mikhail?Perepelitsa 《Communications in Mathematical Physics》2004,250(2):335-370
We consider the initial value problem, with periodic initial data, for the Euler equations in relativistic isentropic gas dynamics, for ideal polytropic gases which obey a constitutive equation, relating pressure p and density , p=2, with 1, 0<<c, where c is the speed of light. Global existence of periodic entropy solutions for initial data sufficiently close to a constant state follows from a celebrated result of Glimm and Lax (1970). We prove that given any periodic initial data of locally bounded total variation, satisfying the physical restrictions ||v0||<c, where v is the gas velocity, there exists a globally defined spatially periodic entropy solution for the Cauchy problem, if 1<0, for some 0>1, depending on the initial bounds. The solution decays in Lloc1 to its mean value as t. 相似文献
58.
Hermano Frid I. -Shih Liu 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1995,46(6):913-931
Riemann problems with initial data inside elliptic regions are quite different from those for hyperbolic systems. First, we have found that approximate solutions may present persistent oscillations, giving rise to a new type of (measure-valued) waves besides the usual (distributional) ones, shocks and rarefaction waves. Second, any local disturbance of a constant state inside the elliptic region will result in a non-trivial (distributional or, more generally, measure-valued) solution, which is independent of any particular choice of disturbance. For our numerical experiments, we establish two analytical results for testing convergence of finite difference schemes, and for determining expectation values of state functions with respect to the measure-valued solutions when oscillation waves occur. Numerical examples are presented to illustrate those interesting aspects, including the appearance of oscillation waves together with the analysis of the corresponding Young measures. 相似文献
59.
We define an infinite permutation as a sequence of reals taken up to value, or, equivalently, as a linear ordering of or of . We introduce and characterize periodic permutations; surprisingly, for each period t there is an infinite number of distinct t-periodic permutations. At last, we study a complexity notion for permutations analogous to subword complexity for words, and consider the problem of minimal complexity of non-periodic permutations. Its answer is not analogous to that for words and is different for the right infinite and the bi-infinite case. 相似文献
60.
A. Pyszniak H. Calén K. Fransson C-J. Fridén E. Hellbeck M. Jacewicz T. Johansson P. Marciniewski Z. Rudy 《Hyperfine Interactions》2014,229(1-3):159-163
Frozen microspheres of hydrogen (pellets) will be one of the target types for the future hadron physics experiment PANDA at FAIR (GSI, Darmstadt, Germany) [1]. Pellets with a diameter of 25– μm are generated about 3 meters above the interaction region, to which they travel with a velocity around 80 m/s inside a narrow pipe. The interaction region is defined by the overlap of the pellet stream and the accelerator beam and has a size of a few millimeters. One would like to know the interaction point more precisely, to have better possibilities to reconstruct particle tracks and events e.g. in charmonium decay studies. One would also like to suppress background events that do not originate in a pellet, but e.g. may occur in rest gas, that is present in the beam pipe. A solution is provided by the presented pellet tracking system together with a target operation mode that provides one and only one pellet in the interaction region most of the time. The goal is to track individual pellets in order to know their position with a resolution of a few tenths of a millimeter at the time of an interaction. The system must also be highly efficient and provide tracking information for essentially all pellets that pass the interaction region. Presented results from the design studies show that the goals can be fulfilled by this solution. 相似文献