Found 1,012 Documents (Results 1–100)
Existence of weak solutions to the BGK equation and an approximate conservation laws with large initial data. (English) Zbl 07922835
Nijenhuis geometry IV: conservation laws, symmetries and integration of certain non-diagonalisable systems of hydrodynamic type in quadratures. (English) Zbl 07909992
Steady supersonic flows past Lipschitz wedges for two-dimensional relativistic Euler equations. (English) Zbl 07906784
A class of central unstaggered schemes for nonlocal conservation laws: applications to traffic flow models. (English) Zbl 07905345
Hypersonic similarity for steady compressible full Euler flows over two-dimensional Lipschitz wedges. (English) Zbl 07900898
Smooth subsonic and transonic spiral flows with nonzero vorticity to steady Euler-Poisson system in concentric cylinders. (English) Zbl 07897517
Unconditional flocking for weak solutions to self-organized systems of Euler-type with all-to-all interaction kernel. (English) Zbl 1542.35288
Non-uniqueness of transonic shock solutions to Euler-Poisson system with varying background charges. (English) Zbl 1542.35006
Asymptotics of the sticky particles evolution. (English) Zbl 1543.35143
Reviewer: Changxing Miao (Beijing)
Asymptotic compatibility of a class of numerical schemes for a nonlocal traffic flow model. (English) Zbl 1540.65352
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
A mathematical analysis of the Kakinuma model for interfacial gravity waves. I: Structures and well-posedness. (English) Zbl 1540.35306
The time-asymptotic expansion for the compressible Euler equations with damping. (English) Zbl 1541.35361
On uniqueness of steady 1-D shock solutions in a finite nozzle via asymptotic analysis for physical parameters. (English) Zbl 1541.35009
Reviewer: Vishnu Dutt Sharma (Ghandinagar)
Local conservation laws of continuous Galerkin method for the incompressible Navier-Stokes equations in EMAC form. (English) Zbl 1539.76176
On the global well-posedness for the periodic quintic nonlinear Schrödinger equation. (English) Zbl 1534.35380
Global well-posedness and scattering for fourth-order Schrödinger equations on waveguide manifolds. (English) Zbl 1534.35381
Global existence and large-time behavior of solutions to the 1D compressible Navier-Stokes equations with density-dependent viscosity in the half space. (English) Zbl 1533.35238
Unique solutions to hyperbolic conservation laws with a strictly convex entropy. (English) Zbl 1533.35208
Probability measures on path space for rectilinear damped pressureless Euler-Poisson equations. (English) Zbl 1537.35276
Local well-posedness of the plasma-vacuum interface problem for the ideal incompressible MHD. (English) Zbl 1530.35238
Research problems on relations between Nijenhuis geometry and integrable systems. arXiv:2410.04276
Preprint, arXiv:2410.04276 [math.DG] (2024).
MSC:
37K06
37K10
37K25
37K50
53B10
53A20
53B20
53B30
53B50
53B99
53D17
53D20
53D22
37J06
37J11
37J35
70H06
Finite-dimensional reductions and finite-gap type solutions of multicomponent integrable PDEs. arXiv:2410.00895
Preprint, arXiv:2410.00895 [math-ph] (2024).
MSC:
37K06
37K10
37K25
37K50
53B10
53A20
53B20
53B30
53B50
53B99
53D17
53D20
53D22
37J06
37J11
37J35
70H06
Contact discontinuities for 2-D isentropic Euler are unique in 1-D but wildly non-unique otherwise. arXiv:2409.11296
Preprint, arXiv:2409.11296 [math.AP] (2024).
On multidimensional nonlocal conservation laws with BV kernels. arXiv:2408.02423
Preprint, arXiv:2408.02423 [math.AP] (2024).
Torsion-free connections of second-order maximally superintegrable systems. arXiv:2403.08509
Preprint, arXiv:2403.08509 [math.DG] (2024).
Finite time BV blowup for Liu-admissible solutions to \(p\)-system via computer-assisted proof. arXiv:2403.07784
Preprint, arXiv:2403.07784 [math.AP] (2024).
Strong Hamel functions and symmetries. arXiv:2402.09791
Preprint, arXiv:2402.09791 [math.DG] (2024).
Geometry of Mechanics. arXiv:2401.12650
Preprint, arXiv:2401.12650 [math-ph] (2024).
MSC:
53B20
53B21
53D05
53D10
53D20
53D22
53Z05
58A30
70A05
70F20
70F25
70G10
70G45
70G65
70G75
70H03
70H05
70H15
70H20
70H25
70H33
A non-local system modeling bi-directional traffic flows. (English) Zbl 07921302
Albi, Giacomo (ed.) et al., Advances in numerical methods for hyperbolic balance laws and related problems. Based on talks given at the young researchers’ conference “Numerical aspects of hyperbolic balance laws and related problems”, University of Verona, Verona, Italy, December 2021. Cham: Springer. SEMA SIMAI Springer Ser. 32, 49-66 (2023).
Energy in critical collapse. (English) Zbl 1537.83064
Numerical schemes for a class of nonlocal conservation laws: a general approach. (English) Zbl 1535.65154
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Neural networks with local converging inputs (NNLCI) for solving conservation laws. II: 2D problems. (English) Zbl 1538.65221
Adaptive high-order A-WENO schemes based on a new local smoothness indicator. (English) Zbl 1527.65070
Anomalous dissipation and lack of selection in the Obukhov-Corrsin theory of scalar turbulence. (English) Zbl 1536.35261
Reviewer: Pierre-Étienne Druet (Darmstadt)
On the singular limit problem for a discontinuous nonlocal conservation law. (English) Zbl 1527.35172
A basic guide to uniqueness problems for evolutionary differential equations. (English) Zbl 1540.35001
Compact Textbooks in Mathematics. Cham: Birkhäuser (ISBN 978-3-031-34795-5/pbk; 978-3-031-34796-2/ebook). x, 155 p. (2023).
Reviewer: Giuseppe Maria Coclite (Bari)
A general result on the approximation of local conservation laws by nonlocal conservation laws: the singular limit problem for exponential kernels. (English) Zbl 1530.35150
Reviewer: Evgeniy Panov (Veliky Novgorod)
Stability analysis and error estimates of implicit Runge-Kutta local discontinuous Galerkin methods for linear bi-harmonic equation. (English) Zbl 1538.65343
Long-time convergence of a nonlocal Burgers’ equation towards the local \(N\)-wave. (English) Zbl 1525.35028
Convergence rates to the Barenblatt solutions for the compressible Euler equations with time-dependent damping. (English) Zbl 1527.35237
Neural networks with local converging inputs (NNLCI) for solving conservation laws. I: 1D problems. (English) Zbl 1519.65018
The exact boundary controllability of nodal profile for entropy solutions to 1-D quasilinear hyperbolic systems of conservation laws with linearly degenerate negative (resp., positive) characteristic fields. (English) Zbl 1522.35329
Three-dimensional stationary supersonic flows with axial symmetry in relativistic hydrodynamics. (English) Zbl 1522.35410
A space-time nonlocal traffic flow model: relaxation representation and local limit. (English) Zbl 1522.35331
Reviewer: Giuseppe Maria Coclite (Bari)
Long time existence of smooth solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity. (English) Zbl 1522.35386
Adaptive central-upwind scheme on triangular grids for the shallow water model with variable density. (English) Zbl 1524.76243
High-order local discontinuous Galerkin method with multi-resolution WENO limiter for Navier-Stokes equations on triangular meshes. (English) Zbl 1514.65132
Minimal entropy conditions for scalar conservation laws with general convex fluxes. (English) Zbl 1522.35330
Reviewer: Evgeniy Panov (Veliky Novgorod)
Proca-Higgs balls and stars in a UV completion for Proca self-interactions. (English) Zbl 1523.83010
Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions. (English) Zbl 1514.35281
Singular Levy processes and dispersive effects of generalized Schrödinger equations. (English) Zbl 1516.35387
Reviewer: Hajer Bahouri (Paris)
Stability and asymptotic analysis for instationary gas transport via relative energy estimates. (English) Zbl 1521.35136
Reviewer: Siran Li (Shanghai)
On the Lagrangian description and uniqueness for the one-dimensional pressureless Euler system. (English) Zbl 1514.35339
Newtonian limits and global stability of shock solutions for piston problem to the relativistic full Euler system. (English) Zbl 1526.35266
Reviewer: Banhirup Sengupta (Bellaterra)
Non-overlapping Schwarz waveform-relaxation for nonlinear advection-diffusion equations. (English) Zbl 1516.65081
Fifth-order A-WENO schemes based on the adaptive diffusion central-upwind Rankine-Hugoniot fluxes. (English) Zbl 1524.65406
Local foliations by critical surfaces of the Hawking energy and small sphere limit. (English) Zbl 1518.83023
Local well-posedness of unsteady potential flows near a space corner of right angle. (English) Zbl 1505.35267
Applications of Nijenhuis geometry. IV: Multicomponent KdV and Camassa-Holm equations. (English) Zbl 1517.37067
Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations. (English) Zbl 1504.35232
Convergence of the numerical approximations and well-posedness: Nonlocal conservation laws with rough flux. arXiv:2307.15153
Preprint, arXiv:2307.15153 [math.NA] (2023).
The Nonlinear Theory of Sound. arXiv:2305.15623
Preprint, arXiv:2305.15623 [math.AP] (2023).
A Novikov equation describing pseudo-spherical surfaces, its pseudo-potentials, and local isometric immersions. (English) Zbl 1529.35147
Delayed singularity formation for three-dimensional compressible Euler equations with non-zero vorticity. (English) Zbl 1522.35387
Local well-posedness of a Hamiltonian regularisation of the Saint-Venant system with uneven bottom. (English) Zbl 1537.35287
Global existence of smooth solutions to the Euler-Boltzmann equations. (Chinese. English summary) Zbl 1524.35385
Delta waves of the isentropic relativistic Euler system coupled with an advection equation for Chaplygin gas. (English) Zbl 1506.35148
Variational calculus. (English) Zbl 1505.49002
Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-031-18306-5/hbk; 978-3-031-18309-6/pbk; 978-3-031-18307-2/ebook). xix, 274 p. (2022).
Reviewer: Gheorghe Moroşanu (Cluj-Napoca)
Kaluza-Klein reductions of maximally supersymmetric five-dimensional Lorentzian spacetimes. (English) Zbl 1515.83266
On a class of systems of hyperbolic equations describing pseudo-spherical or spherical surfaces. (English) Zbl 1500.35206
On the theory of entropy solutions of nonlinear degenerate parabolic equations. (English. Russian original) Zbl 1498.35341
J. Math. Sci., New York 265, No. 6, 988-1007 (2022); translation from Sovrem. Mat., Fundam. Napravl. 66, No. 2, 292-313 (2020).
Controllability for a highly re-entrant manufacturing system with local and nonlocal velocity. (English) Zbl 1497.93019
Uniqueness and weak-BV stability for \(2\times 2\) conservation laws. (English) Zbl 1505.35265
Reviewer: Evgeniy Panov (Veliky Novgorod)
Global existence for the defocusing Sobolev critical Schrödinger equation under the finite variance condition of initial data. (English) Zbl 1501.35380
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