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Annales Henri Poincaré, ISSN 1424-0637, 7/2019, Volume 20, Issue 7, pp. 2173 - 2270
Journal Article
Acta Mathematica Scientia, ISSN 0252-9602, 05/2018, Volume 38, Issue 3, pp. 889 - 897
In this article, we give the existence of global bounded entropy solutions to the Cauchy problem of a generalized hyperbolic system of LeRoux type. The main... 
Conservation laws | compensated compactness | viscosity method | 35L60 | LeRoux type | 35L67 | hyperbolic system | 35L65
Journal Article
Communications in Partial Differential Equations, ISSN 0360-5302, 08/2018, Volume 43, Issue 8, pp. 1242 - 1280
The paper studies the possible blowup of the total variation for entropy weak solutions of the p-system, modeling isentropic gas dynamics. It is assumed that... 
hyperbolic conservation laws | Bounded variation | isentropic gas dynamics | 35B44 | 35L65(35B35 | 35L67 | rarefaction decay estimate | MATHEMATICS | MATHEMATICS, APPLIED | L-INFINITY | NONLINEAR HYPERBOLIC SYSTEMS | STABILITY | Gas dynamics | Rarefaction
Journal Article
Chinese Annals of Mathematics, Series B, ISSN 0252-9599, 11/2019, Volume 40, Issue 6, pp. 843 - 868
In this paper, the authors study the piston problem for the unsteady two-dimensional Euler system for a Chaplygin gas. The angle of the piston is allowed to... 
Receding | Multi-Dimensional piston problem | 76L05 | Mathematics, general | Mathematics | Applications of Mathematics | Proceeding | 35L67 | 35L65 | 76N10 | Mach number
Journal Article
Applicable Analysis, ISSN 0003-6811, 11/2019, Volume 98, Issue 15, pp. 2668 - 2687
The Riemann problem for the isentropic Euler system with the state equation for the extended Chaplygin gas is considered, and the Riemann solutions are... 
76N15 | Riemann problem | Extended Chaplygin gas | delta shock wave | isentropic Euler system | 35L67 | Chaplygin gas | 35L65 | Shock waves | Equations of state
Journal Article
Journal of Interdisciplinary Mathematics, ISSN 0972-0502, 07/2019, Volume 22, Issue 5, pp. 773 - 785
In this paper, we use secant hyperbolic ansatz with tanh-coth method, combined with Riccati equation to derive complex travelling wave solutions to the... 
Solitary wave | KdVB equation | Shock Waves | KdV equation | Secant hyperbolic ansatz | 35Q53 | 37K40 | 34K13 | 35L67 | Riccati equation | Tangent hyperbolic method
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 10/2019, Volume 70, Issue 5, pp. 1 - 15
We address the Riemann problem for the one-dimensional compressive flow of a van der Waals gas, in which the external force is a given continuous function of... 
Engineering | Compressible fluid | Mathematical Methods in Physics | Riemann problem | System of balance laws | Theoretical and Applied Mechanics | 35L67 | 35L65 | SYSTEM | MATHEMATICS, APPLIED | ENERGY | MOMENTUM | MASS | CONSERVATION-LAWS | EULER EQUATIONS
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 7/2019, Volume 233, Issue 1, pp. 87 - 166
We establish the interior and exterior Gauss–Green formulas for divergence-measure fields in L p over general open sets, motivated by the rigorous mathematical... 
Physics, general | Fluid- and Aerodynamics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Classical Mechanics | EQUATIONS | MATHEMATICS, APPLIED | MECHANICS | Divergence | Deformation | Singularities | Mathematical analysis | Radon | Continuum mechanics | Formability | Product development | Fluxes | Boundaries | Representations
Journal Article
Acta Mathematica Scientia, ISSN 0252-9602, 01/2018, Volume 38, Issue 1, pp. 203 - 219
We study the singular structure of a family of two dimensional non-self-similar global solutions and their interactions for quasilinear hyperbolic conservation... 
elementary wave | singular structure | quasilinear hyperbolic equations | global solutions | 35L67 | 35L65 | MATHEMATICS | DIMENSIONS | SPACE VARIABLES | CONVERGENCE | RIEMANN PROBLEM
Journal Article
Numerische Mathematik, ISSN 0029-599X, 8/2018, Volume 139, Issue 4, pp. 867 - 912
Journal Article
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ISSN 0044-2267, 06/2019, Volume 99, Issue 6, pp. e201800250 - n/a
In this paper we analyze the effects of a one‐way valve on the isothermal gas flow through a pipe. The valve keeps the flow at a constant value q∗>0, if... 
gas flow | 76B75 | Riemann problem | systems of conservation laws | chattering | coupling conditions | valve | 35L67 | 35L65 | MATHEMATICS, APPLIED | MECHANICS | MODELS | POINT CONSTRAINTS | FLOW | GAS NETWORKS | Valves | Reaction time | Gas flow | Riemann solver | Coherence
Journal Article
SYMMETRY-BASEL, ISSN 2073-8994, 04/2019, Volume 11, Issue 4, p. 458
Blast waves are generated when an area grows abruptly with a supersonic speed, as in explosions. This problem is quite interesting, as a large amount of energy... 
Rankine-Hugoniot conditions | blast waves | MULTIDISCIPLINARY SCIENCES | non-ideal gas | magnetogasdynamics | 35L67 | 58J45 | SHOCK-WAVES | MATHEMATICAL-THEORY | Rankine–Hugoniot conditions
Journal Article
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ISSN 0044-2267, 06/2016, Volume 96, Issue 6, pp. 681 - 695
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 4/2019, Volume 79, Issue 1, pp. 249 - 272
Journal Article
Journal of Mathematical Fluid Mechanics, ISSN 1422-6928, 12/2019, Volume 21, Issue 4, pp. 1 - 9
The compressible Euler equations are the classical model in fluid dynamics. In this study, we investigate the life span of the projected 2-dimensional... 
Fluid- and Aerodynamics | Initial value problem | 35B44 | Functional method | 35Q31 | Blowup | 35L67 | Physics | Rotational solutions | Mathematical Methods in Physics | Non-vacuum | Classical and Continuum Physics | Compressible Euler equations | 35B30 | 76U05
Journal Article
JOURNAL OF SCIENTIFIC COMPUTING, ISSN 0885-7474, 08/2019, Volume 80, Issue 2, pp. 924 - 956
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 08/2016, Volume 57, Issue 8, p. 81506
An influential result of F. John states that no genuinely non-linear strictly hyperbolic quasi-linear first order system of partial differential equations in... 
Lower bounds | Flux density | Partial differential equations | Upper bounds | Linearity | Crystals | Differential equations | Plane waves | Nonlinearity | Order quantity | Magnetic properties
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 2/2017, Volume 68, Issue 1, pp. 1 - 8
In this paper, we extend the finite propagation speed property for the compressible Euler equations with damping from the three-dimensional case to the general... 
Damping | Finite propagation speed | 35B44 | 35Q31 | Radial symmetry | Blowup | Euler equations | Theoretical and Applied Mechanics | 35L67 | Compressible | Engineering | Mathematical Methods in Physics | 35B30
Journal Article
Duke Mathematical Journal, ISSN 0012-7094, 12/2012, Volume 161, Issue 15, pp. 2837 - 2908
We consider the 1-dimensional semilinear wave equation with power nonlinearity. We consider an arbitrary blowup solution u(x, t), the graph x bar right arrow... 
EXISTENCE | MATHEMATICS | PROFILE | PARABOLIC EQUATIONS | HEAT-EQUATIONS | REGULARITY | BEHAVIOR | CURVE | UP SET | SURFACES | Analysis of PDEs | Mathematics | 35L05 | 35L71 | 35B40 | 35L67 | 35B44
Journal Article
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