equations and the riemann problem

... in[15]for the isentropic case, and in[21] for the non-isentropic case The Riemann problem for shallow water equations with discontinuoustopography was solved in[16,17] The Riemann problem for ... solutions of the Riemann problem for the two-phaseflow model(1.1) using a phase decomposition approach Observe that the construction of solutions of theRiemann problem for hyperbolic systems when the solution ... , C ± andC the projection in the (ρ g , u g)-plane of the intersection of the hyper-plane u s ≡ u s0 with the sets Ω i , Σ ± and Σ, i = 1, 2, 3, respectively, seeFig 1 On the other hand, it is

Ngày tải lên: 16/12/2017, 06:22

... which enable other scientists to verify the results of the research for themselves The greater the relevance of the empirical data, the more confidence can be put in the veracity of the theory starting ... which they live There is an ever-present danger that the cultural background and assumptions of the researcher will unduly influence the interpretations and descriptions made on the basis of the ... is hidden and rarely made explicit, the data being sought by the researcher need to be pursued by delving deep into the language and behaviour of the subjects of the study, and of the surrounding

Ngày tải lên: 09/08/2017, 11:35

... Clarence 69 5 The Cast of Men: The Bounded Man, the Domestic Monarch and the Sexual Master 76 I The Male Body Politic and the Masterful Man 76 II The Woman Problem 79 III The Husband as Little ... their sex specificity rather than their general humanity, has shaped and formed concepts, theories, norms and also self-understandings of the discipline And the authors of these self-understandings ... Recognising the Man Problem in the Special Part of Criminal Law 168 III Recognising the Man Problem in the General Part of Criminal Law 170 IV The Abstraction of the Person and the Problem of

Ngày tải lên: 14/02/2021, 19:37

... Clarence 69 5 The Cast of Men: The Bounded Man, the Domestic Monarch and the Sexual Master 76 I The Male Body Politic and the Masterful Man 76 II The Woman Problem 79 III The Husband as Little ... their sex specificity rather than their general humanity, has shaped and formed concepts, theories, norms and also self-understandings of the discipline And the authors of these self-understandings ... Recognising the Man Problem in the Special Part of Criminal Law 168 III Recognising the Man Problem in the General Part of Criminal Law 170 IV The Abstraction of the Person and the Problem of

Ngày tải lên: 16/02/2021, 19:50

... "Differential Equations and the Method of Upper and Lower Solutions," Rose-Hulman Undergraduate Mathematics Journal: Vol 10 : Iss 1 , Article 3 Trang 2Differential Equations and the Method of Upperand ... and lower solutions and give a few theorems about their prop-erties Then in Section 3.2 we discuss what periodic solutions are and present more theorems which show the relationships between them ... establishes the existence and uniqueness of solutions to an initial value problem and is fundamental to the study of differential equations Its proof may be found in many books on the subject Theorem

Ngày tải lên: 21/10/2022, 18:26

... 20 Cf Ketland’s ‘If one accepts a mathematical base theory S, then one is committed to accepting a number of further statements in the language of the base theory (and one of these is the Gödel ... (2)—the compositional principle for negation—is notprovable in U T B either.2 On the other hand, it is not the case that all disquotational theories are theoretically weak As soon as we drop the ... gains and losses On the one hand, we gain clarity, since the set of axioms of T B−(unlike that of M T ) is precisely defined On the other hand, we admittedly lose the breadth and scope of Horwich’s

Ngày tải lên: 04/12/2022, 15:52

... that the functions ˆb and ˆσ satisfy the locally Lipschitz and H¨older continuity and the lineargrowth over the set R × Rd with the same constants L1 and K1 defined in H1 For the rest of the paper ... equations The linear equations involved can not be solved with the traditional results Therefore, we construct a classical solution to the linear Cauchy problem under the same hypotheses on the ... dedicated to the study of the linear parabolic problem (2) In subsection 2.1 we introduce the notationand the hypotheses used throughout this part Subsection 2.2 presents the main result for the linear

Ngày tải lên: 24/11/2022, 17:57

... about the U(1) problem for a few years It was the advent of QCD which prompted Fritzsch, Gell-Mann and Leutwyler [1.20] to revive the U(1) problem They emphasized the necessity of solving the problem ... aDDlHIe 3© = Othe C = other = equations ïctHdc 1n ae a ana a ä Nie therefore have two © systems of equations — the decay constants F a mK, K,R 3 the e pseudoscalar equations relate the logarithmic ... understanding the U(1) problem Their misconception, even in the present literature, has been the cause of most of the controversy surrounding the U(1) problem Our discussion will begin by analysing the

Ngày tải lên: 24/04/2014, 17:17

... properties of the model as N > 9, and particularly, of the ground state of excitation — the state with the least energy and the states with almost the least energy The case J > 0 in the XXX model ... in detail in the text by the examples of the XXZ and the general XYZ model Now a few words about the contents of the paper In the first section we give the classical results on the transfer matrix ... connecting the Hamiltonian of the XYZ model with the transfer matrix of the eight-vertex model The third section is devoted to the solution of the special case of the six-vertex model and the XYZ

Ngày tải lên: 24/04/2014, 17:24

... feasible) broadband speeds, and thestructure of these services further reduces their utility Slow residential Internet access is but the tip of the problem, however.The broadband problem in fact ... forthcoming The subsequent crash dev-astated the CLEC sector, thereby reducing the competitive pressure felt by theILECs To add to the woes of the industry and of the economy in general,local broadband ... implications,the prospects for broadband service in the current business and regulatoryenvironment, and the policy measures that could address this problem.The analysis begins with an overview of the

Ngày tải lên: 03/06/2014, 00:55

... befor the emergence of the measurement problem and forthe definition of the decoherence program—is definitelynontrivial By definition, the universe as a whole is aclosed system, and therefore there ... uniqueness theorem then guarantees the uniqueness of the expansion of the final state |ψi =Pncn|sni|ani|eni (where no constraints on the cnhave to be imposed) and thereby the uniqueness of the preferred ... basis, and discuss these components in more detail in the following B The problem of definite outcomes 1 Superpositions and ensembles The right-hand side of Eq (2.1) implies that after the premeasurement

Ngày tải lên: 05/06/2014, 11:31

... (2.8), we get the identities (2.5) and (2.6). The rest of the proof is similar to the that of lemma 1 3 Principal Result theorem 3.1 If u ∈ W01,p(x) (Ω) ∩ L ∞¡ Ω¢be a solution of the problem (1.1) ... (u) ≥ 0 , ∀x ∈ ∂Ω. Therefore, the problem admits only the null solution. Proof Similar to the proof of theorem 1 theorem 3.3 If u k ∈ W 1,p k (x) 0 (Ω) ∩ L ∞¡ Ω¢solution of the system (1.6) − ... interested on the study of the nonexistence of nontrivial solutions for the p (x) −Laplacian equations, in unbounded domains of Rn This leads us to extend these results to m-equations systems The method

Ngày tải lên: 20/06/2014, 21:20

... 1/|2nζ(1 - 2n)| and the n-axis 4 Connection with the eFD and eBE integral functions Theorem 4.1 The generalized Riemann zeta function is related to the eBE integral functions and the incomplete ... Î H(1/2, 0) 3 The generalized Riemann zeta function Ξν(s; x) The eFD and the eBE functions defined by (1.1) and (1.2) provide a unified approach to the study of the zeta family The weighted function ... converges uniformly to the Riemann zeta function in some sense and connects the eFD and eBE functions We assume thatν is real and 0 ≤ ν <1 in the rest of the article and use analytic continuation

Ngày tải lên: 21/06/2014, 02:20

... solve the MSSFP1.10 and which are the application of algorithms 1.13, 1.14, and 1.15 for solving the MSSFP These projection algorithms can also reduce to the algorithm1.8 when the MSSFP1.10 ... is another closed and convex subset of H1, 0 < γ < 2/L with L  N i1 α i  j1 β j and ρA∗A being the spectral radius of A∗A, and α i > 0 for all i and β j > 0 for all j They studied ... 1.5 if and only if it solves the fixed point equation   where P C and P Q are theorthogonal projections onto C and Q, respectively, γ > 0 is any positive constant and A∗denotes the adjoint

Ngày tải lên: 21/06/2014, 11:20

... space The main difficulty to study the properties of the first eigenvalue is the lack of larity of the weak solutions of thep-sub-Laplacian in the Heisenberg group Let us note regu-that theC α ... regularity for the weak solutions of the p-subelliptic operators formed by the vector field satisfying H¨ormander’s condition was given in [1] and theC1,αregularity of the weak solutions of thep-sub-LaplacianΔH,pin ... ∂ᏺ∩ Ω and ξ =0, thenu =0 (sinceu is continuous except at {0}), and hencevm =0 If ξ ∈ ∂ Ω, then u m =0 and sov m =0 Therefore,ω m =0 on∂ ᏺ, and ω m ∈ D01,p(ᏺ) Noting Theorem 5.6 The eigenvalue

Ngày tải lên: 22/06/2014, 11:20

... +a3f3+a3a0f3f0+a3a0a1f3f0f1, (2.1) with and the “bar” indicates the evolution along the independent discrete variable The latter was introduced by taking whereupon one finds thatz is of the form λ nand thus the system is ... of these discrete Painlev´e equations to the extended Weyl group of type D(1)5 , and discuss their space of initial conditions in the spirit of the Okamoto-Sakai approach [8,12] Let us define the ... type D(1) 5 Below we give the list of mappings and their actions on the parameter space and on the root basis The dependent variables that appear below correspond to the following diagram: .

Ngày tải lên: 22/06/2014, 22:20

... (eiθ + 1) and (eiθ − 1) The stability problem for the top order family The results obtained in the previous section permit to attack the question concerning the stability problem for the k-step ... modulus and σk (z) has not roots of unit modulus Then, the assertions of the theorem follow from Remark 4.1 We are now in the position to give the main results related to the stability problem Theorem ... Theorem 3.4 and relation (2.15) the proof immediately follows We are now ready to answer the question concerning the values assumed by the polynomials ρk−1 (z) and σk (z) on the unit circle Theorem...

Ngày tải lên: 23/06/2014, 00:20

... modulus and the cross-sectional area, and f is either the friction or contact force on the surface of the bar), pipe flow (u is the hydrostatic pressure, a1 = 7rD4/128p, is the diameter, p is the ... to fourthorder problems rooted in the bending of elastic beams and plates Since the fourth-order problems are less standard than second-order equations, their physical background and derivation ... p the insulator problem 449 B.10 Details of the singularity of IEh,pl at the reentrant corner, and the discontinuity along the material interface 449 B.ll The hp-mesh, global view 449 B.12 The...

Ngày tải lên: 31/03/2014, 15:57

... the base B0 , and the embedding of each edge uses at most one bridge The set of the edges embedded entirely on the base will be denoted by E0 and the set of i i the edges embedded on the bridge ... representing the edges of Hx are pairwise disjoint and for x = 2, , m − the curves representing the edges of Hx intersect the curves representing the edges of Hx−1 and Hx+1 We keep the following rule: the ... m − the curves representing the edges of Wxy intersect the curves representing the edges of Wx(y−1) and Wx(y+1) We again keep the rule that the interiors of the curves representing wxyz and...

Ngày tải lên: 07/08/2014, 06:23

... between Greece and the EU and About the Book: The Economic Crisis in Europe and the Balkans vii the world as a whole are unfavourable for Greece and have further deteriorated The authors state ... The injections to the economy will firstly be applied to the domestic demand by loosening of the fiscal policy However, the situation of the v vi About the Book: The Economic Crisis in Europe and ... growth and the development in the banking sector About the Book: The Economic Crisis in Europe and the Balkans ix Dimitrios Kyrkilis, Simeon Semasis and Constantinos Styliaras discuss whether and...

Ngày tải lên: 01/11/2014, 13:22