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Computers & mathematics with applications (1987), ISSN 0898-1221, 2017, Volume 73, Issue 6, pp. 1016 - 1027
...), which can be used to simulate anomalous diffusion in fractal media. We firstly give the concept of the weak solutions and establish the existence criterion of weak solutions by means of Galerkin approximations in the case that the dimension n≤4... 
Navier–Stokes equations | Weak solutions | Optimal controls | Caputo fractional derivative | Existence | MATHEMATICS, APPLIED | Navier-Stokes equations | Fluid dynamics
Journal Article
Archive for rational mechanics and analysis, ISSN 1432-0673, 2006, Volume 183, Issue 2, pp. 215 - 239
Journal Article
Angewandte Chemie (International ed.), ISSN 1433-7851, 2015, Volume 54, Issue 38, pp. 11093 - 11096
The A‐site mixed‐ammonium solid solutions of metal–organic perovskites [(NH2NH3)x(CH3NH3)1−x][Mn(HCOO)3] (x=1.00–0.67) exhibit para‐ to ferroelectric diffuse phase transitions with lowered transition temperatures from x... 
phase transitions | manganese | dielectric properties | metal–organic perovskites | DESIGN | WEAK FERROMAGNETISM | THERMAL-EXPANSION | METAL-ORGANIC FRAMEWORK | FERROELECTRICITY | metal-organic perovskites | CHEMISTRY, MULTIDISCIPLINARY | PROMINENT DIELECTRIC ANOMALIES | ORDER | FORMATE FRAMEWORK | PHASE-TRANSITION | MULTIFERROICS | Solid solutions | Phase transitions | Dielectric constant | Transition temperature | Ferroelectricity | Ferroelectric materials | Phase transformations | Distortion | Perovskites | Permittivity
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 08/2018, Volume 376-377, pp. 259 - 265
We prove a version of Onsager’s conjecture on the conservation of energy for the incompressible Euler equations in the context of statistical solutions, as introduced recently by Fjordholm et al. (2017... 
Statistical solutions | Onsager’s conjecture | Energy conservation | Incompressible Euler equations | Onsager's conjecture | DISSIPATION | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | MEASURE-VALUED SOLUTIONS | ENERGY-CONSERVATION | LAWS | NAVIER-STOKES EQUATIONS | WEAK SOLUTIONS | EULER EQUATIONS
Journal Article
ANALYSIS AND APPLICATIONS, ISSN 0219-5305, 01/2007, Volume 5, Issue 1, pp. 1 - 27
This paper is devoted to the continuation of solutions to the Camassa-Holm equation after wave breaking... 
MATHEMATICS | BREAKING | MATHEMATICS, APPLIED | conservation law | BANACH-SPACES | WAVE-EQUATION | dissipative solutions | non-local source | WEAK SOLUTIONS | Camassa-Holm equation | SHALLOW-WATER EQUATION | CONSERVATIVE SOLUTIONS
Journal Article
Communications on pure and applied mathematics, ISSN 0010-3640, 2012, Volume 65, Issue 4, pp. 549 - 585
We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the isentropic compressible Navier... 
SPACE | MATHEMATICS | SMOOTH SOLUTIONS | MATHEMATICS, APPLIED | BEHAVIOR | VISCOUS FLUIDS | BLOW-UP | WEAK SOLUTIONS | FLOW | DISCONTINUOUS INITIAL DATA | UNIQUENESS
Journal Article
Social choice and welfare, ISSN 1432-217X, 2018, Volume 51, Issue 2, pp. 193 - 222
Journal Article
Calculus of variations and partial differential equations, ISSN 1432-0835, 2016, Volume 55, Issue 4, pp. 1 - 39
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 08/2017, Volume 159, pp. 181 - 207
We establish a weak–strong uniqueness principle for solutions to entropy-dissipating reaction–diffusion equations... 
Reaction–diffusion equation | Mass-action kinetics | Weak–strong uniqueness | RENORMALIZED SOLUTIONS | MATHEMATICS | MATHEMATICS, APPLIED | TRANSPORT | GLOBAL EXISTENCE | Weak-strong uniqueness | MASS | SYSTEMS | BLOWUP | Reaction diffusion equation
Journal Article
Nonlinearity, ISSN 1361-6544, 2010, Volume 23, Issue 5, pp. 1097 - 1107
.... Based on the method from Cao and Titi (2008 Indiana Univ. Math. J. 57 2643-61) we prove that the weak solution is regular, provided u(3... 
CRITERIA | PRESSURE | MATHEMATICS, APPLIED | TERMS | DIRECTION | WEAK SOLUTIONS | PHYSICS, MATHEMATICAL | Alignment | Infinity | Mathematical analysis | Fluid flow | Images | Nonlinearity | Criteria | Regularity
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 2019, Volume 343, pp. 166 - 185
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 03/2019, Volume 77, Issue 5, pp. 1347 - 1357
Journal Article
Communications in Partial Differential Equations, ISSN 0360-5302, 10/2007, Volume 32, Issue 10, pp. 1511 - 1549
We show that the Camassa-Holm equation u t  − u xxt  + 3uu x  − 2u x u xx  − uu xxx  = 0 possesses a global continuous semigroup of weak conservative solutions for initial data u... 
Secondary 35B10, 35Q53 | Primary 65M06, 65M12 | Conservative solutions | Camassa-Holm equation | MATHEMATICS | BREAKING | SCHEME | MATHEMATICS, APPLIED | GEOMETRIC APPROACH | WAVES | conservative solutions | ROD | WEAK SOLUTIONS | camassa-holm equation | SHALLOW-WATER EQUATION | PEAKONS
Journal Article