Found 211 Documents (Results 1–100)
On the solvability of boundary value problems for an abstract singular equations on a finite interval. (English) Zbl 1533.34052
Dirichlet problem on the half-line for an abstract Euler-Poisson-Darboux equation containing powers of an unbounded operator. (English. Russian original) Zbl 1543.34060
Differ. Equ. 59, No. 10, 1356-1371 (2023); translation from Differ. Uravn. 59, No. 10, 1357-1372 (2023).
Reviewer: Marko Kostić (Novi Sad)
On the unique solvability of boundary value problems for an abstract Euler-Poisson-Darboux equations on a finite interval. (English) Zbl 1518.35521
The Cauchy problem for one second order partial differential equation with Carleman shift. (English) Zbl 1502.35073
Large-time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in the half space. (English) Zbl 1507.35274
Linear stability of solitary waves for the isothermal Euler-Poisson system. (English) Zbl 1507.35162
The existence, uniqueness and exponential decay of global solutions in the full quantum hydrodynamic equations for semiconductors. (English) Zbl 1467.76078
Structural stability of supersonic solutions to the Euler-Poisson system. (English) Zbl 1456.35136
Reviewer: Ilya A. Chernov (Petrozavodsk)
On a transformation operator approach in the inverse spectral theory of integral and integro-differential operators. (English) Zbl 1467.45022
Kravchenko, Vladislav V. (ed.) et al., Transmutation operators and applications. Cham: Birkhäuser. Trends Math., 337-367 (2020).
The hyperbolic Ernst equation in a triangular domain. (English) Zbl 1435.35382
Reviewer: Thomas Ernst (Uppsala)
An operator formula for the shift of the solution of the Cauchy problem for an abstract Euler-Poisson-Darboux equation. (English. Russian original) Zbl 1431.34075
Math. Notes 105, No. 5, 649-656 (2019); translation from Mat. Zametki 105, No. 5, 656-665 (2019).
Reviewer: Pham Viet Hai (Hanoi)
The Appell’s function \(F_3\) and the solutions of a PDE with singular coefficients. (English) Zbl 1406.35214
Method of Riesz potentials applied to solution to nonhomogeneous singular wave equations. (English) Zbl 1438.35280
Singular Cauchy problem for generalized homogeneous Euler-Poisson-Darboux equation. (English) Zbl 1438.35303
Darboux system as three-dimensional analog of Liouville equation. (English. Russian original) Zbl 1412.35211
Russ. Math. 62, No. 12, 50-58 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 12, 60-69 (2018).
Criterion for the solvability of the weighted Cauchy problem for an abstract Euler-Poisson-Darboux equation. (English. Russian original) Zbl 1403.34043
Differ. Equ. 54, No. 5, 622-632 (2018); translation from Differ. Uravn. 54, No. 5, 627-637 (2018).
Reviewer: Marjeta Kramar Fijavž (Ljubljana)
Nonlinear stability of expanding star solutions of the radially symmetric mass-critical Euler-Poisson system. (English) Zbl 1390.35246
Two-weight mixed norm estimates for a generalized spherical mean Radon transform acting on radial functions. (English) Zbl 1377.44002
Approximation of generalized Riemann solutions to compressible Euler-Poisson equations of isothermal flows in spherically symmetric space-times. (English) Zbl 1370.35204
On one nonlocal problem for the Euler-Darboux equation. (Russian. English summary) Zbl 1413.35289
Criterion for the solvability of the Cauchy problem for an abstract Euler-Poisson-Darboux equation. (English. Russian original) Zbl 1345.35069
Differ. Equ. 52, No. 1, 39-57 (2016); translation from Differ. Uravn. 52, No. 1, 41-59 (2016).
Reviewer: Valery V. Karachik (Chelyabinsk)
Boundary value problems for matrix Euler-Poisson-Darboux equation with data on a characteristic. (Russian. English summary) Zbl 1413.35303
MSC:
35L52
On spherically symmetric motions of a gaseous star governed by the Euler-Poisson equations. (English) Zbl 1323.35180
Reviewer: Valery V. Karachik (Chelyabinsk)
Blowup for \(C^2\) solutions of the \(N\)-dimensional Euler-Poisson equations in Newtonian cosmology. (English) Zbl 1312.83036
Cauchy problems with modified conditions for the Euler-Poisson-Darboux equations in the spherical space. (English) Zbl 1300.35063
When Euler-Poisson-Darboux meets Painlevé and Bratu: on the numerical solution of nonlinear wave equations. (English) Zbl 1296.65130
Solution of the Cauchy problem for generalized Euler-Poisson-Darboux equation by the method of fractional integrals. (English) Zbl 1291.35155
Reissig, Michael (ed.) et al., Progress in partial differential equations. Asymptotic profiles, regularity and well-posedness. Based on the presentations given at a session at the 8th ISAAC congress, Moscow, Russia, August 22–27, 2011. Cham: Springer (ISBN 978-3-319-00124-1/hbk; 978-3-319-00125-8/ebook). Springer Proceedings in Mathematics & Statistics 44, 321-337 (2013).
Modified essentially nonoscillatory schemes based on exponential polynomial interpolation for hyperbolic conservation laws. (English) Zbl 1317.65170
Reviewer: Snezhana Gocheva-Ilieva (Plovdiv)
On Cauchy problem for system of \(n\) Euler-Poisson-Darboux equations in the plane. (Russian. English summary) Zbl 1449.35299
MSC:
35L45
On the Cauchy problem for the Euler-Poisson-Darboux system with nilpotent matrix coefficient. (Russian. English summary) Zbl 1326.35189
MSC:
35L45
Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces. (English) Zbl 1276.44002
Reviewer: Lillian Beatrix Pierce (Bonn)
Solution of the Cauchy problem for system of the Euler-Poisson-Darboux equations. (Russian. English summary) Zbl 1449.35302
MSC:
35L52
Nonlocal boundary value problem for a Lykov’s type system of first-order. (Russian. English summary) Zbl 1449.35300
Construction of polynomial solutions to some boundary value problems for Poisson’s equation. (Russian, English) Zbl 1274.31002
Zh. Vychisl. Mat. Mat. Fiz. 51, No. 9, 1674-1694 (2011); translation in Comput. Math. Math. Phys. 51, No. 9, 1588-1587 (2011).
Cauchy problems with the modified conditions for the Euler-Poisson-Darboux equations. (Problèmes de Cauchy avec des conditions modifiées pour les équations d’Euler-Poisson-Darboux.) (French. Abridged English version) Zbl 1233.35150
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Optimization method for the inverse problem of reconstructing the source term in a parabolic equation. (English) Zbl 1183.65118
Reviewer: Damian Słota (Gliwice)
Stability analysis of an optimal control problem for a hyperbolic equation. (English) Zbl 1165.49029
Analysis of an asymptotic preserving scheme for the Euler-Poisson system in the quasineutral limit. (English) Zbl 1173.82032
Reviewer: Iván Abonyi (Budapest)
Local properties of an isothermal charged fluid: Initial-boundary value problem. (English) Zbl 1144.35457
Sharp estimates for periodic solutions to the Euler-Poisson-Darboux equation. (English) Zbl 1186.35128
On the free boundary problem of three-dimensional incompressible Euler equations. (English) Zbl 1158.35107
Inversion formulae for the spherical mean in odd dimensions and the Euler-Poisson-Darboux equation. (English) Zbl 1141.44002
Nonlinear stability of compressible vortex sheets. (English) Zbl 1167.35552
Benzoni-Gavage, Sylvie (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17–21, 2006. Berlin: Springer (ISBN 978-3-540-75711-5/hbk). 415-422 (2008).
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)
The Cauchy problem and integrability of a modified Euler-Poisson equation. (English) Zbl 1146.35069
Reviewer: Michal Marvan (Opava)
Global existence for semilinear Schrödinger equations in \(2+1\) dimensions. (English) Zbl 1128.35098
On an approach to the regularization of the Cauchy problem for the Euler-Poisson-Darboux equation. (English. Russian original) Zbl 1132.35428
Differ. Equ. 43, No. 5, 721-725 (2007); translation from Differ. Uravn. 43, No. 5, 701-704 (2007).
The solution of the Cauchy problem for generalized Euler-Poisson-Darboux equation. (English) Zbl 1135.35059
Boundary value problems for the non-dimensional linear shallow-water equations on an equatorial \(\beta\)-plane. (Chinese. English summary) Zbl 1142.35540
A complete global solution to the pressure gradient equation. (English) Zbl 1116.35102
Reviewer: Valeriu Al. Sava (Iaşi)
Axisymmetric solutions to the 3D Euler equations. (English) Zbl 1119.35041
Reviewer: Il’ya Sh. Mogilevskij (Tver’)
Global well-posedness of the Benjamin–Ono equation in low-regularity spaces. (English) Zbl 1123.35055
Reviewer: Boris V. Loginov (Ul’yanovsk)
Stability for solutions of a stationary Euler-Poisson problem. (English) Zbl 1116.35051
Reviewer: Oleg A. Sinkevich (Moskva)
Role of the pressure for validity of the energy equality for solutions of the Navier-Stokes equation. (English) Zbl 1105.35081
Reviewer: Il’ya Sh. Mogilevskij (Tver’)
Exact solutions for a different version of the nonhomogeneous E.P.D equation. (English) Zbl 1092.35020
Reviewer: Valery V. Karachik (Chelyabinsk)
On the free boundary to the incompressible Euler equations. (English) Zbl 1105.35069
Reviewer: Messoud A. Efendiev (Berlin)
Regularity of Euler equations for a class of three-dimensional initial data. (English) Zbl 1076.35088
Rodrigues, José F. (ed.) et al., Trends in partial differential equations of mathematical physics. Selected papers of the international conference held on the occasion of the 70th birthday of V. A. Solonnikov, Óbidos, Portugal, June 7–10, 2003. Basel: Birkhäuser (ISBN 3-7643-7165-X/hbk). Progress in Nonlinear Differential Equations and their Applications 61, 161-185 (2005).
Reviewer: Vasily A. Chernecky (Odessa)
An analysis of the Wigner-Poisson problem with inflow boundary conditions. (English) Zbl 1084.81051
Reviewer: Claudia-Veronika Meister (Potsdam)
A priori distortion estimate of a flat flow of an ideal incompressible fluid. (Russian) Zbl 1108.76340
Reviewer: Evgenij Nechaev (Moskva)
On the stability of an unsteady motion for a fluid of a two-layer jet. (Russian) Zbl 1108.76027
Reviewer: Evgenij Nechaev (Moskva)
Singularities of solutions to some second-order partial differential equations which include the E.P.D. equation. (English) Zbl 1064.35007
Introduction to the mathematical theory of compressible flow. (English) Zbl 1088.35051
Oxford Lecture Series in Mathematics and its Applications 27. Oxford: Oxford University Press (ISBN 0-19-853084-6/hbk). xx, 506 p. (2004).
Reviewer: Il’ya Sh. Mogilevskij (Tver’)
Whitham equations, Bergman kernel and Lax-Levermore minimizer. (English) Zbl 1057.35053
Reviewer: Dmitry Shepelsky (Kharkov)
Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on \(\mathbb R^3\). (English) Zbl 1060.35131
Reviewer: Messoud A. Efendiev (Berlin)
A criterion for the uniqueness of the solution of the Darboux–Protter problem for the multi-dimensional Euler–Darboux–Poisson equation. (Russian) Zbl 1133.35416
MSC:
35Q05
Semiclassical limit and well-posedness of nonlinear Schrödinger-Poisson systems. (English) Zbl 1055.35111
Reviewer: Messoud A. Efendiev (Berlin)
Global existence of plasma ion-sheaths and their dynamics. (English) Zbl 1055.35085
Reviewer: Horst Lange (Köln)
The asymptotic behaviour of global smooth solutions to the multi-dimensional hydrodynamic model for semiconductors. (English) Zbl 1027.35071
Global existence of smooth solutions of the \(N\)-dimensional Euler-Poisson model. (English) Zbl 1043.35109
Reviewer: Vladimir Shelukhin (Novosibirsk)
The associated Legendre functions and separation of variables of Laplace operator in dihedral angle. (Russian) Zbl 1050.35062
Reviewer: Andrei Zemskov (Moskva)
Riemann-Hilbert problem for the small dispersion limit of the KdV equation and linear overdetermined systems of Euler-Poisson-Darboux type. (English) Zbl 1022.37045
Averaging over \(N\)-dimensional balls and Cauchy problem for equations of mathematical physics. (English) Zbl 1031.35114
Reviewer: Khalifa Trimèche (Tunis)
Weak solutions to the compressible Euler equation with an asymptotic \(\gamma\)-law. (English) Zbl 1039.35073
Reviewer: Milan Pokorný (Praha)
On the relativistic Euler equation. (English) Zbl 1004.35117
Reviewer: Dimitar A.Kolev (Sofia)
From the solution of the Tsarev system to the solution of the Whitham equations. (English) Zbl 0986.35095
An abstract Euler-Poisson-Darboux equation containing powers of an unbounded operator. (English. Russian original) Zbl 1001.34048
Differ. Equ. 37, No. 5, 743-746 (2001); translation from Differ. Uravn. 37, No. 5, 706-709 (2001).
Reviewer: I.J.Mardanov (Baku)
Cauchy problem for compressible Euler equations with damping. (English) Zbl 0969.35103
Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 315-317 (2000).
Iterative equation for the Euler-Poisson-Daurboux type. (Ukrainian. English summary) Zbl 0978.35038
The Darboux and Cauchy–Goursat problems for a degenerate hyperbolic equation with two Bessel operators. (Russian) Zbl 0945.35058
Reviewer: V.Grebenev (Novosibirsk)
Equations of motion of a rigid body without parametrization of rotations. (English. Russian original) Zbl 0944.70008
J. Appl. Math. Mech. 63, No. 1, 25-30 (1999); translation from Prikl. Mat. Mekh. 63, No. 1, 30-36 (1999).
Reviewer: A. A. Martynyuk (Kyïv)
MSC:
70E15
Hamilton-Ostrogradsky approach to relativistic free spherical top dynamics. (English) Zbl 0953.70016
Kolář, Ivan (ed.) et al., Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10-14, 1998. Brno: Masaryk University. 547-551 (1999).
Reviewer: P.Achuthan (Madras)
On an initial boundary value problem involving the generalized EPD equation. (English) Zbl 0938.35032
Blow-up of solutions of semilinear Euler-Poisson-Darboux equations with nonlocal boundary conditions. (English) Zbl 0934.35114
Reviewer: G.Jank (Aachen)
Existence of entropy solutions for the compressible Euler equations. (English) Zbl 0926.35109
Fey, Michael (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the 7th international conference, Zürich, Switzerland, February 1998. Vol. II. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 130, 599-607 (1999).
Large time behavior of the solutions to a hydrodynamic model for semiconductors. (English) Zbl 0936.35111
Reviewer: P.B.Dubovskiĭ (Moskva)
Dynamics of three vortices on a plane and a sphere. II: General compact case. (English) Zbl 0933.76016
Reviewer: F.Kaplanski (Tallinn)
Existence of local smooth solution for a generalized Zakharov system. (English) Zbl 0923.35177
Reviewer: B.A.Malomed (Tel Aviv)
On some boundary value problems for a class of degenerate hyperbolic equations. (Russian) Zbl 0903.35049
Vragov, V. N. (ed.), Equations of nonclassical type. Interuniversity collection of scientific works. Novosibirsk: Novosibirskij Gosudarstvennyj Universitet, 107-114 (1997).
Reviewer: S.N.Glazatov (Novosibirsk)
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