Found 258 Documents (Results 1–100)
Probability measures on path space for rectilinear damped pressureless Euler-Poisson equations. (English) Zbl 1537.35276
Rotating rod and ball. (English) Zbl 1536.70016
The Riemann problem for isentropic compressible Euler equations with discontinuous flux. (English) Zbl 1538.35274
Global solutions and blow-up for a coupled system of nonlinear hyperbolic equations with weak damping. (English) Zbl 1527.35410
Weighted finite element method and body of optimal parameters for elasticity problem with singularity. (English) Zbl 1538.65546
Wave interactions in pressureless Cargo-LeRoux model with flux perturbation. (English) Zbl 1529.35299
Steady compressible Euler equations of concentration layers for hypersonic-limit flows passing three-dimensional bodies and generalized Newton-Busemann pressure law. (English) Zbl 1527.35246
A limiting viscosity approach to the Riemann problem in blood flow through artery. (English) Zbl 1522.35333
Asymptotic existence theorem for formal solutions with singularities of nonlinear partial differential equations via multisummability. (English) Zbl 1522.35148
Radon measure solutions to Riemann problems for isentropic compressible Euler equations of polytropic gases. (English) Zbl 1538.35270
Matrix Green’s function solution of closed-form singularity for functionally graded and transversely isotropic materials under circular ring force vector. (English) Zbl 1521.74074
On one approach for the numerical solving of hyperbolic initial-boundary problems on an adaptive moving grids. (English) Zbl 1502.65098
One-dimensional cylindrical shock waves in non-ideal gas under magnetic field. (English) Zbl 1527.35179
Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system. (English) Zbl 1501.65050
Reviewer: Abdallah Bradji (Annaba)
Interaction of multiple parallel cracks in a pre-stressed orthotropic elastic plane. (English) Zbl 1498.74068
On two-dimensional steady hypersonic-limit Euler flows passing ramps and Radon measure solutions of compressible Euler equations. (English) Zbl 1492.35204
Global entropy solutions and Newtonian limit for the relativistic Euler equations. (English) Zbl 1490.35260
Dynamic stress concentration of a non-circular cavern in a viscoelastic medium subjected to a plane P-wave. (English) Zbl 1491.74073
Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity. (English) Zbl 1508.35091
Reviewer: Alain Brillard (Riedisheim)
Initial value problem for the nonconservative zero-pressure gas dynamics system. (English) Zbl 1522.35328
Radon measure solutions for steady compressible hypersonic-limit Euler flows passing cylindrically symmetric conical bodies. (English) Zbl 1501.35297
Viscous shock solutions to the stochastic Burgers equation. (English) Zbl 1481.35275
Reviewer: Feng-Yu Wang (Swansea)
On properties of solutions of the Cauchy problem for two-dimensional transport equations on a rotating plane. (English. Russian original) Zbl 1486.35349
Mosc. Univ. Math. Bull. 76, No. 1, 1-8 (2021); translation from Vestn. Mosk. Univ., Ser. I 76, No. 1, 3-10 (2021).
Kinematics of spherical shock waves in an interstellar ideal gas clouds with dust particles. (English) Zbl 1479.35863
Bernoulli type free boundary problems and water waves. (English) Zbl 1470.35442
Focardi, Matteo (ed.) et al., Geometric measure theory and free boundary problems. Based on lectures given at the CIME summer school on geometric measure theory and applications – from geometric analysis to free boundary problems, Cetraro, Italy, September 2–6, 2019. Cham: Springer; Florence: Fondazione CIME. Lect. Notes Math. 2284, 89-136 (2021).
Reviewer: Zhiqing Han (Dalian)
Extraction formulas of stress intensity factors for the biharmonic equations containing crack singularities. (English) Zbl 1447.65149
Inviscid limit of the compressible Navier-Stokes equations for asymptotically isothermal gases. (English) Zbl 1442.35310
Formation of \(\delta\)-shock waves in isentropic fluids. (English) Zbl 1446.35075
Reviewer: Ilya A. Chernov (Petrozavodsk)
Explicit self-similar solutions for a class of zero mean curvature equation and minimal surface equation. (English) Zbl 1439.35116
Characterizing the formation of singularities in a superlinear indefinite problem related to the mean curvature operator. (English) Zbl 1437.35415
Nakedly singular counterpart of Schwarzschild’s incompressible star. A barotropic continuity condition in the center. (English) Zbl 1434.83084
Uniqueness of Kerr solution and positive mass theorem. (English) Zbl 1431.83100
Ji, Lizhen (ed.) et al., Tsinghua lectures in mathematics. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 45, 315-343 (2019).
Dynamical behavior near explicit self-similar blow-up solutions for the Born-Infeld equation. (English) Zbl 1431.83175
Reviewer: Mohammad Khorrami (Tehran)
Variational approach to a singular second-order systems with impulses effects. (English) Zbl 1438.34129
Uniqueness of convex ancient solutions to mean curvature flow in \({\mathbb {R}}^3\). (English) Zbl 1414.53059
Reviewer: Dian K. Palagachev (Bari)
The maximal development of near-FLRW data for the Einstein-scalar field system with spatial topology \(\mathbb{S}^3\). (English) Zbl 1402.83124
Transit dark energy string cosmological models with perfect fluid in \(F(R, T)\)-gravity. (English) Zbl 1401.83023
New distributional travelling waves for the nonlinear Klein-Gordon equation. (English) Zbl 1424.46059
Special variants of collocation method for integral equations in a singular case. (English. Russian original) Zbl 1371.65136
Russ. Math. 61, No. 5, 38-45 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 5, 45-53 (2017).
The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model. (English) Zbl 1359.83003
Reviewer: Hans-Jürgen Schmidt (Potsdam)
Orbiting radiation stars. (English) Zbl 1338.83055
Explicit formulas to the solutions of Dirichlet problem for equations arising in geometry and physics. (English) Zbl 1340.35044
Reviewer: Angela Slavova (Sofia)
Bifurcation under parameter change of Riemann solutions for nonstrictly hyperbolic systems. (English) Zbl 1327.35030
Separate reconstruction of solution components with singularities of various types for linear operator equations of the first kind. (English. Russian original) Zbl 1319.47008
Proc. Steklov Inst. Math. 289, Suppl. 1, S216-S226 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 2, 63-73 (2014).
Evaluation of the t-stress for multiple cracks in an infinite plate using singular integral equation. (English) Zbl 1359.74119
Convergence of the finite element method for an elliptic equation with strong degeneration. (Russian, English) Zbl 1340.65246
Sib. Zh. Ind. Mat. 17, No. 2, 137-148 (2014); translation in J. Appl. Ind. Math. 8, No. 3, 411-421 (2014).
Approximation of solutions with singularities of various types for linear ill-posed problems. (English) Zbl 1302.47018
Dokl. Math. 89, No. 1, 30-33 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 2, 137-140 (2014).
Reviewer: Denis Sidorov (Irkutsk)
Hyperbolic quenching problem with damping in the micro-electro mechanical system device. (English) Zbl 1288.35355
Reviewer: Marie Kopáčková (Praha)
Analytical solutions to detect the scheme dispersion for the coupled nonlinear equations. (English) Zbl 1310.35168
The Riemann problem of the transport equations for the generalized Chaplygin gas. (English) Zbl 1313.35257
A new version of the collocation method for a class of integral equations in the singular case. (English. Russian original) Zbl 1285.65088
Differ. Equ. 49, No. 9, 1142-1149 (2013); translation from Differ. Uravn. 49, No. 9, 1178-1185 (2013).
Reviewer: Josef Kofroň (Praha)
Shock front solutions to a 2-dimensional axially-symmetrical piston problem of pressure-gradient equations. (Chinese. English summary) Zbl 1265.35345
Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation. (English) Zbl 1258.35143
Reviewer: Qin Mengzhao (Beijing)
Relativistic cosmology. (English) Zbl 1242.83001
Cambridge: Cambridge University Press (ISBN 978-0-521-38115-4/hbk; 978-1-108-81276-4/pbk). xiv, 622 p. (2012).
Reviewer: Hans-Jürgen Schmidt (Potsdam)
MSC:
83-01
83F05
85A40
83C57
83C35
83C15
83C20
85A25
85A15
83D05
83C25
53Z05
83C45
83E30
83C75
81T20
81T30
03A05
The general theory of relativity. A mathematical exposition. (English) Zbl 1250.83001
New York, NY: Springer (ISBN 978-1-4614-3657-7/hbk; 978-1-4614-3658-4/ebook). xxvi, 678 p. (2012).
Reviewer: Hans-Jürgen Schmidt (Potsdam)
Global weak solutions in a chemotaxis system with large singular sensitivity. (English) Zbl 1268.35072
A system of the Hamilton-Jacobi and the continuity equations in the vanishing viscosity limit. (English) Zbl 1234.35069
Singular integral equations on the real axis with solutions having singularities of higher order. (English) Zbl 1240.45004
MSC:
45E05
A hyperbolic system of conservation laws for fluid flows through compliant axisymmetric vessels. (English) Zbl 1240.35350
Non-uniqueness of weak solutions for the fractal Burgers equation. (English) Zbl 1201.35006
Reviewer: Nasser-eddine Tatar (Dhahran)
Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process. (English) Zbl 1189.35178
Nonuniqueness of the heat flow of director fields. (English) Zbl 1213.35020
Reviewer: Chang Kungching (Beijing)
Riemann problem for Born-Infeld systems. (English) Zbl 1190.35157
Tadmor, Eitan (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Contributed talks. Proceedings of the 12th international conference on hyperbolic problems, June 9–13, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4730-5/hbk; 978-0-8218-4728-2/2-vol. set). Proceedings of Symposia in Applied Mathematics 67, Part 2, 845-854 (2009).
Adaptivity with moving grids. (English) Zbl 1181.65122
Reviewer: Ivan Secrieru (Chişinău)
Entropy solutions for linearly degenerate hyperbolic systems of rich type. (English) Zbl 1177.37043
Reviewer: Constantin Udrişte (Bucureşti)
MSC:
37D50
Fundamental solutions for a class of non-elliptic homogeneous differential operators. (English) Zbl 1155.35009
Reviewer: Michael Langenbruch (Oldenburg)
A non singular solution for spherical configuration with infinite central density. (English) Zbl 1194.83021
The analytical solution of two interesting hyperbolic problems as a test case for a finite volume method with a new grid refinement technique. (English) Zbl 1143.35307
Reviewer: Prabhat Kumar Mahanti (Saint John)
Direct method of solution for systems of singular integral equations with solutions having singularities of order one. (Chinese. English summary) Zbl 1150.45305
MSC:
45F15
The high field asymptotics for a fermionic Boltzmann equation: entropy solutions and kinetic shock profiles. (English) Zbl 1165.35413
Optimal convergence recovery for the Fourier-finite-element approximation of Maxwell’s equations in nonsmooth axisymmetric domains. (English) Zbl 1125.65096
Reviewer: Ana M. Alonso Rodriguez (Povo)
On singularities of solution of Maxwell’s equations in axisymmetric domains with conical points. (English) Zbl 1126.35074
Reviewer: Alan Jeffrey (Newcastle upon Tyne)
Non-singular, vacuum, stationary space-times with a negative cosmological constant. (English) Zbl 1114.83004
Reviewer: Hans-Jürgen Schmidt (Potsdam)
On the incompressible Euler equations and the blow-up problem. (English) Zbl 1173.35587
Kozono, Hideo (ed.) et al., Asymptotic analysis and singularities. Hyperbolic and dispersive PDEs and fluid mechanics. Papers of the 14th International Research Institute of the Mathematical Society of Japan (MSJ), Sendai, Japan, July, 18–27, 2005. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-40-2/hbk). Advanced Studies in Pure Mathematics 47-1, 1-30 (2006).
Reviewer: Ilya A. Chernov (Petrozavodsk)
Parabolic Monge-Ampère methods for blow-up problems in several spatial dimensions. (English) Zbl 1096.35070
Reviewer: Angela Handlovičová (Bratislava)
Study of the stability in the problem on flowing around a wedge. the case of strong wave. (English) Zbl 1176.76055
Hugoniot-Maslov chains for the system of shallow-water equations taking into account energy exchange. (English. Russian original) Zbl 1331.76029
Math. Notes 78, No. 5, 740-743 (2005); translation from Mat. Zametki 78, No. 5, 796-799 (2005).
Result-verifying solution of nonlinear systems in the analysis of chemical processes. (English) Zbl 1126.65314
Alt, René (ed.) et al., Numerical software with result verification. International Dagstuhl seminar, Dagstuhl Castle, Germany, January 19–24, 2003. Revised papers. Berlin: Springer (ISBN 3-540-21260-4/pbk). Lecture Notes in Computer Science 2991, 198-205 (2004).
Equilibrium states in the quadruple-Kerr solution. (English) Zbl 1050.83015
Reviewer: Christian Klein (Leipzig)
Formation and construction of a shock wave for 2-D compressible Euler equations with the initial data. I. (English) Zbl 1063.35116
On a “global analytic solution” of a chaotic differential equation of third order. (Sur la “solution analytique générale” d’une équation différentielle chaotique du troisième ordre.) (French. English summary) Zbl 1038.37030
Fauvet, F. (ed.) et al., From combinatorics to dynamical systems. Journées de calcul formel en l’honneur de Jean Thomann, Marseille, France, March 22–23, 2002. Berlin: de Gruyter (ISBN 3-11-017875-3/pbk). IRMA Lect. Math. Theor. Phys. 3, 195-212 (2003).
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