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Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2017, Volume 453, Issue 1, pp. 271 - 286
Recently, Leray's problem of the -decay of a special weak solution to the Navier–Stokes equations with nonhomogeneous boundary values was studied by the... 
Instationary Navier–Stokes equations | Weak solutions | Time-dependent data | Exterior domain | Asymptotic behavior | Nonzero boundary values | SYSTEM | MATHEMATICS, APPLIED | SPACES | NONHOMOGENEOUS DATA | EQUATIONS | MATHEMATICS | EXTERIOR DOMAINS | Instationary Navier-Stokes equations | REGULARITY CONDITIONS | Fluid dynamics
Journal Article
1978, International series in pure and applied mathematics, ISBN 007004452X, xiv, 593
Book
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 08/2017, Volume 40, Issue 12, pp. 4613 - 4624
In this paper, we prove the existence and uniqueness for the global solutions of Cauchy problem for coupled nonlinear Schrödinger equations and obtain the... 
global solutions | self‐similar solutions | 35Q55 | subclass 35A05 | coupled nonlinear Schrödinger equations | 37K10 | Cauchy problem | self-similar solutions | MATHEMATICS, APPLIED | SOLITONS | coupled nonlinear Schrodinger equations | CAUCHY-PROBLEM | PROGRESSING WAVES | BLOW-UP | Asymptotic properties | Mathematical analysis | Decay | Uniqueness | Self-similarity
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 09/2017, Volume 71, pp. 44 - 50
Let be a nonnegative radical potential in a cylinder. In this paper, we study the solutions of the Dirichlet–Sch problem associated with a stationary... 
Dirichlet–Sch problem | Asymptotic property | Schrödinger equation | MATHEMATICS, APPLIED | Schrodinger equation | Dirichlet-Sch problem | CYLINDER | CONE | Information science
Journal Article
1996, Translations of mathematical monographs, ISBN 0821805363, Volume 151., xvi, 176
Book
Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 12/2015, Volume 92, Issue 12
Extensions of Einstein gravity with quadratic curvature terms in the action arise in most effective theories of quantized gravity, including string theory.... 
FREE QUANTUM-THEORY | ENERGY | ASTRONOMY & ASTROPHYSICS | BLACK-HOLES | PHYSICS, PARTICLES & FIELDS | Gravitation | Asymptotic properties | Mathematical analysis | Flats | Cosmology | Horizon | Coupling | Symmetry
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 06/2018, Volume 41, pp. 334 - 361
The long-time asymptotics and bright -soliton solutions of the Kundu–Eckhaus equation are studied by Riemann–Hilbert approach. Firstly, the initial value... 
Long-time asymptotics | Soliton solutions | Lax pair | Kundu–Eckhaus equation | Riemann–Hilbert approach | MATHEMATICS, APPLIED | WAVES | Riemann-Hilbert approach | LIMIT | Kundu-Eckhaus equation | EVOLUTION-EQUATIONS | NONLINEAR SCHRODINGER-EQUATION | Information science
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 05/2017, Volume 262, Issue 10, pp. 4907 - 4930
In this paper we study a free boundary problem modeling the growth of solid tumor spheroid. It consists of two elliptic equations describing nutrient diffusion... 
Asymptotic stability | Free boundary problem | Tumor spheroid | Gibbs–Thomson relation | Well-posedness | MATHEMATICS | INSTABILITY | SYMMETRY-BREAKING BIFURCATIONS | STABILITY | STATIONARY SOLUTIONS | GROWTH | Gibbs Thomson relation | INHIBITORS | Models | Tumors
Journal Article
1992, Lezioni lincee., ISBN 9780521420235, 155
The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations. Locally asymptotic solutions of the Navier–Stokes... 
Evolution equations | Asymptotic theory
Book
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 11/2012, Volume 45, Issue 47, pp. 475202 - 31
In a previous study (Matsuno Y 2012 J. Phys. A: Math. Theor. 45 23202), we have developed a systematic method for obtaining the bright soliton solutions of the... 
PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Dependent variables | Asymptotic properties | Mathematical analysis | Solitons | Plane waves | Nonlinearity | Boundary conditions | Schroedinger equation | Derivatives
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2017, Volume 450, Issue 1, pp. 152 - 168
This paper concerns the study of the asymptotic behavior of solutions to reaction–diffusion systems modeling multi-components reversible chemistry with spatial... 
Reaction–diffusion equation | Chemical reaction | Entropy method | Asymptotic behavior | Renormalized solution | MATHEMATICS, APPLIED | GLOBAL EXISTENCE | EQUATIONS | MATHEMATICS | ENTROPY METHODS | L-1 | Reaction-diffusion equation | EXPONENTIAL DECAY | EQUILIBRIUM | MASS | Trucks | Four-wheel drive | or physical chemistry | Mathematics | Analysis of PDEs | Chemical Sciences | Theoretical and
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 05/2017, Volume 347, pp. 1 - 11
The Fourier-transformed version of the time dependent slip-flow model Boltzmann equation associated with the linearized BGK model is solved in order to... 
Linearized Boltzmann equation | Rarefied slip flow equation | Asymptotics of elementary solutions | Grossly determined solutions | MATHEMATICS, APPLIED | GAS-DYNAMICS | KINETIC-THEORY | PHYSICS, MULTIDISCIPLINARY | TRANSPORT-EQUATION | PHYSICS, MATHEMATICAL
Journal Article
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