Applied Mathematics & Optimization, ISSN 0095-4616, 8/2014, Volume 70, Issue 1, pp. 61 - 82

In this paper, for 2D convective Cahn–Hilliard equation, the optimal control problem is considered, the existence of optimal solution is proved and the...

Convective Cahn–Hilliard equation | Systems Theory, Control | Theoretical, Mathematical and Computational Physics | Mathematics | 49A22 | 35K55 | Optimality conditions | Mathematical Methods in Physics | 49K20 | Calculus of Variations and Optimal Control; Optimization | Optimal control | Numerical and Computational Physics | Galerkin method | Convective Cahn-Hilliard equation | EXISTENCE | DENSITY | SYSTEM | MATHEMATICS, APPLIED | NONCONSTANT MOBILITY | GLOBAL ATTRACTOR | DEGENERATE MOBILITY | FREE-ENERGY | Studies | Control algorithms | Two dimensional | Mathematical analysis | Optimization

Convective Cahn–Hilliard equation | Systems Theory, Control | Theoretical, Mathematical and Computational Physics | Mathematics | 49A22 | 35K55 | Optimality conditions | Mathematical Methods in Physics | 49K20 | Calculus of Variations and Optimal Control; Optimization | Optimal control | Numerical and Computational Physics | Galerkin method | Convective Cahn-Hilliard equation | EXISTENCE | DENSITY | SYSTEM | MATHEMATICS, APPLIED | NONCONSTANT MOBILITY | GLOBAL ATTRACTOR | DEGENERATE MOBILITY | FREE-ENERGY | Studies | Control algorithms | Two dimensional | Mathematical analysis | Optimization

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 03/2020, Volume 192, p. 111665

We study the stability theory of solitary wave solutions for a type of derivative nonlinear Schrödinger equation The equation has a two-parameter family of...

Derivative NLS | Orbital instability | Solitary wave solutions | Degenerate case

Derivative NLS | Orbital instability | Solitary wave solutions | Degenerate case

Journal Article

The Annals of Probability, ISSN 0091-1798, 5/2016, Volume 44, Issue 3, pp. 1916 - 1955

In this paper, we study the Cauchy problem for a quasilinear degenerate parabolic stochastic partial differential equation driven by a cylindrical Wiener...

Conservation laws | Approximation | Partial differential equations | Logical proofs | Uniqueness | Scalars | Entropy | Kinetics | Martingales | Probabilities | Kinetic solution | Kinetic formulation | Quasilinear degenerate parabolic stochastic partial differential equation | Probability | Analysis of PDEs | Mathematics

Conservation laws | Approximation | Partial differential equations | Logical proofs | Uniqueness | Scalars | Entropy | Kinetics | Martingales | Probabilities | Kinetic solution | Kinetic formulation | Quasilinear degenerate parabolic stochastic partial differential equation | Probability | Analysis of PDEs | Mathematics

Journal Article

Advances in Mathematics, ISSN 0001-8708, 06/2018, Volume 331, pp. 339 - 386

The Ehrhard–Borell inequality is a far-reaching refinement of the classical Brunn–Minkowski inequality that captures the sharp convexity and isoperimetric...

Gaussian Brunn–Minkowski inequalities | Equality cases | Gaussian measures | Ehrhard–Borell inequality | Degenerate parabolic equations | MATHEMATICS | Ehrhard-Borell inequality | Gaussian Brunn-Minkowski inequalities | BRUNN-MINKOWSKI | FUNCTIONALS

Gaussian Brunn–Minkowski inequalities | Equality cases | Gaussian measures | Ehrhard–Borell inequality | Degenerate parabolic equations | MATHEMATICS | Ehrhard-Borell inequality | Gaussian Brunn-Minkowski inequalities | BRUNN-MINKOWSKI | FUNCTIONALS

Journal Article

Siberian Mathematical Journal, ISSN 0037-4466, 3/2019, Volume 60, Issue 2, pp. 359 - 372

Under study is the unique solvability of a Cauchy type problem and a generalized Schowalter–Sidorov type problem for a class of linear inhomogeneous equations...

Cauchy type problem | Riemann–Liouville fractional derivative | differential equation in a Banach space | fractional order equation | Mathematics, general | degenerate evolution equation | Mathematics | sectorial operator | MATHEMATICS | Riemann-Liouville fractional derivative | Differential equations

Cauchy type problem | Riemann–Liouville fractional derivative | differential equation in a Banach space | fractional order equation | Mathematics, general | degenerate evolution equation | Mathematics | sectorial operator | MATHEMATICS | Riemann-Liouville fractional derivative | Differential equations

Journal Article

Physical chemistry chemical physics : PCCP, ISSN 1463-9076, 05/2017, Volume 19, Issue 18, pp. 11588 - 11602

Making use of the grand canonical ensemble the derivation of the analytical equations for the chemical potential and the Fukui function in the general case of...

Journal Article

Physical Chemistry Chemical Physics, ISSN 1463-9076, 5/2017, Volume 19, Issue 18, pp. 11588 - 1162

Making use of the grand canonical ensemble the derivation of the analytical equations for the chemical potential and the Fukui function in the general case of...

DENSITY | ENERGY | NUMBER | BASES PRINCIPLE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | REACTIVITY THEORY | SOFT ACIDS | HARDNESS | MOLECULAR-ORBITAL THEORY | HARD/SOFT ACID/BASE PRINCIPLE | DEGENERATE GROUND-STATES

DENSITY | ENERGY | NUMBER | BASES PRINCIPLE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | REACTIVITY THEORY | SOFT ACIDS | HARDNESS | MOLECULAR-ORBITAL THEORY | HARD/SOFT ACID/BASE PRINCIPLE | DEGENERATE GROUND-STATES

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 2016, Volume 2016, Issue 4, pp. 1 - 26

Global fit studies performed in the pMSSM and the photon excess signal originating from the Galactic Center seem to suggest compressed electroweak...

Quantum Physics | Supersymmetry Phenomenology | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | CHARGINOS | SIGNAL | EMISSION | MASS-DEGENERATE | PHYSICS, PARTICLES & FIELDS | Dark matter (Astronomy) | Supersymmetry | Large Hadron Collider | Dark matter | Searching | Decay | Texts | Strategy | Spectra

Quantum Physics | Supersymmetry Phenomenology | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | CHARGINOS | SIGNAL | EMISSION | MASS-DEGENERATE | PHYSICS, PARTICLES & FIELDS | Dark matter (Astronomy) | Supersymmetry | Large Hadron Collider | Dark matter | Searching | Decay | Texts | Strategy | Spectra

Journal Article

International Journal of Non-Linear Mechanics, ISSN 0020-7462, 10/2017, Volume 95, pp. 272 - 276

We study dynamics of two coupled periodically driven oscillators. The internal motion is separated off exactly to yield a nonlinear fourth-order equation...

Metamorphoses of amplitude curves | Degenerate singular points | Coupled oscillators | VAN | MECHANICS | ABSORBER | DYNAMICS | POL-DUFFING OSCILLATORS | APPROXIMATE EFFECTIVE EQUATION

Metamorphoses of amplitude curves | Degenerate singular points | Coupled oscillators | VAN | MECHANICS | ABSORBER | DYNAMICS | POL-DUFFING OSCILLATORS | APPROXIMATE EFFECTIVE EQUATION

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 07/2014, Volume 257, Issue 1, pp. 15 - 81

We are interested in the thin-film equation with zero-contact angle and quadratic mobility, modeling the spreading of a thin liquid film, driven by capillarity...

Parabolic maximal regularity | Lubrication theory | Free boundary problems | Degenerate-parabolic fourth-order equations | Thin-film equations | Nonlinear parabolic equations | EXISTENCE | FREE-BOUNDARY | MATHEMATICS | DEGENERATE PARABOLIC EQUATIONS | WEAK SLIPPAGE | REGULARITY | LUBRICATION APPROXIMATION | WAITING-TIMES | PROPAGATION | ZERO-CONTACT-ANGLE | DROPLET | Thin films | Analysis | Dielectric films

Parabolic maximal regularity | Lubrication theory | Free boundary problems | Degenerate-parabolic fourth-order equations | Thin-film equations | Nonlinear parabolic equations | EXISTENCE | FREE-BOUNDARY | MATHEMATICS | DEGENERATE PARABOLIC EQUATIONS | WEAK SLIPPAGE | REGULARITY | LUBRICATION APPROXIMATION | WAITING-TIMES | PROPAGATION | ZERO-CONTACT-ANGLE | DROPLET | Thin films | Analysis | Dielectric films

Journal Article

Dance Research, ISSN 0264-2875, 12/2017, Volume 35, Issue 2, pp. 209 - 217

Mary Wigman (1886-1973) remained in Germany during the period of the Third Reich. Based on an article published in 1940 entitled Entarteter Tanz (Degenerate...

Mary Wigman | Klara Walther | Tatjana Barbakoff | Claire Therwal | Weimar dance | Wigman school | Degenerate dance | Fred Hildenbrandt | degenerate dance | DANCE | Dancers & choreographers | Nazi era | German culture

Mary Wigman | Klara Walther | Tatjana Barbakoff | Claire Therwal | Weimar dance | Wigman school | Degenerate dance | Fred Hildenbrandt | degenerate dance | DANCE | Dancers & choreographers | Nazi era | German culture

Journal Article

JOURNAL OF CHEMICAL PHYSICS, ISSN 0021-9606, 08/2010, Volume 133, Issue 8, p. 084107

The tetra-atomic C2H2+ cation is known to form Renner-Teller-type intersections along its collinear axis. Not too long ago, we studied the nonadiabatic...

ORBITAL ANGULAR-MOMENTUM | TRIATOMIC-MOLECULES | PHASE-FACTORS | INVARIANTS | DEGENERATE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | VIBRONIC ENERGY-LEVELS | REPRESENTATION | CHEMISTRY, PHYSICAL | CONICAL INTERSECTIONS | COLLISIONS | ELECTRONIC STATES

ORBITAL ANGULAR-MOMENTUM | TRIATOMIC-MOLECULES | PHASE-FACTORS | INVARIANTS | DEGENERATE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | VIBRONIC ENERGY-LEVELS | REPRESENTATION | CHEMISTRY, PHYSICAL | CONICAL INTERSECTIONS | COLLISIONS | ELECTRONIC STATES

Journal Article

NONLINEARITY, ISSN 0951-7715, 06/2019, Volume 32, Issue 6, pp. 2073 - 2093

We consider the non-existence of a time global solution to the Cauchy problem of a degenerate drift-diffusion system with a fast-diffusion exponent. We show...

MATHEMATICS, APPLIED | GLOBAL EXISTENCE | CHEMOTAXIS | BEHAVIOR | PHYSICS, MATHEMATICAL | Shannon's inequality | free energy | KINETIC-THEORY | finite-time blow-up | existence of weak solution | PARABOLIC-ELLIPTIC SYSTEM | KELLER-SEGEL MODEL | degenerate drift-diffusion system | virial law

MATHEMATICS, APPLIED | GLOBAL EXISTENCE | CHEMOTAXIS | BEHAVIOR | PHYSICS, MATHEMATICAL | Shannon's inequality | free energy | KINETIC-THEORY | finite-time blow-up | existence of weak solution | PARABOLIC-ELLIPTIC SYSTEM | KELLER-SEGEL MODEL | degenerate drift-diffusion system | virial law

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 12/2013, Volume 93, pp. 168 - 180

This paper is concerned with the initial–boundary value problem for the following degenerate parabolic equation: with initial data . Akagi (2007) established...

Local existence | Degenerate parabolic equation | Reflexive Banach space | Critical case | [formula omitted]-Laplacian | Subdifferential | p-Laplacian | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES | SETS

Local existence | Degenerate parabolic equation | Reflexive Banach space | Critical case | [formula omitted]-Laplacian | Subdifferential | p-Laplacian | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES | SETS

Journal Article

Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 11/2016, Volume 36, Issue 11, pp. 6599 - 6622

Journal Article

Journal of Chemical Physics, ISSN 0021-9606, 05/2011, Volume 134, Issue 18, pp. 184309 - 184309-9

We present a general method for tracking molecular relaxation along different pathways from an excited state down to the ground state. We follow the excited...

DECAY | DNA | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | GAS-PHASE | ULTRAFAST INTERNAL-CONVERSION | ADENINE | EXCITED-STATE DYNAMICS | DEGENERATE PERTURBATION-THEORY | RNA BASES | PHOTOELECTRON-SPECTROSCOPY | PYRIMIDINE NUCLEOBASES | Quantum Theory | Cytosine - chemistry | Spectrum Analysis - methods | Mass Spectrometry - methods | Electrons | EXCITED STATES | LASERS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | RELAXATION | MASS SPECTROSCOPY | ELECTRONIC STRUCTURE | CYTOSINE | CATIONS | PROBES | RESONANCE | SPECTROSCOPY | Environmental Molecular Sciences Laboratory | IONIZATION | GROUND STATES

DECAY | DNA | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | GAS-PHASE | ULTRAFAST INTERNAL-CONVERSION | ADENINE | EXCITED-STATE DYNAMICS | DEGENERATE PERTURBATION-THEORY | RNA BASES | PHOTOELECTRON-SPECTROSCOPY | PYRIMIDINE NUCLEOBASES | Quantum Theory | Cytosine - chemistry | Spectrum Analysis - methods | Mass Spectrometry - methods | Electrons | EXCITED STATES | LASERS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | RELAXATION | MASS SPECTROSCOPY | ELECTRONIC STRUCTURE | CYTOSINE | CATIONS | PROBES | RESONANCE | SPECTROSCOPY | Environmental Molecular Sciences Laboratory | IONIZATION | GROUND STATES

Journal Article

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, ISSN 1078-0947, 11/2016, Volume 36, Issue 11, pp. 6599 - 6622

In this work we consider a class of degenerate analytic maps of the form {(x) over bar = x + y(m) + epsilon f(1)(x, y, theta, epsilon) + h(1) (x, y, theta,...

REDUCIBILITY | MATHEMATICS | MATHEMATICS, APPLIED | PERTURBATIONS | degenerate fixed points | COEFFICIENTS | SYSTEMS | weakly hyperbolic invariant torus | Quasiperiodic systems | LINEAR-DIFFERENTIAL EQUATIONS | KAM iteration

REDUCIBILITY | MATHEMATICS | MATHEMATICS, APPLIED | PERTURBATIONS | degenerate fixed points | COEFFICIENTS | SYSTEMS | weakly hyperbolic invariant torus | Quasiperiodic systems | LINEAR-DIFFERENTIAL EQUATIONS | KAM iteration

Journal Article

Electronic Journal of Differential Equations, ISSN 1072-6691, 2015, Volume 2015, Issue 287, pp. 1 - 32

Here we generalize quasilinear parabolic p-Laplacian type equations to obtain the prototype equation u(t) - div (g(vertical bar Du vertical bar)/vertical bar...

A priori estimate | Hölder continuity | Quasilinear parabolic equation | Degenerate equation | Generalized structure | MATHEMATICS | Holder continuity | MATHEMATICS, APPLIED | degenerate equation | BEHAVIOR | generalized structure | DIFFERENTIAL-EQUATIONS | ELLIPTIC-EQUATIONS | a priori estimate

A priori estimate | Hölder continuity | Quasilinear parabolic equation | Degenerate equation | Generalized structure | MATHEMATICS | Holder continuity | MATHEMATICS, APPLIED | degenerate equation | BEHAVIOR | generalized structure | DIFFERENTIAL-EQUATIONS | ELLIPTIC-EQUATIONS | a priori estimate

Journal Article

19.
Full Text
A coupled anisotropic chemotaxis-fluid model: The case of two-sidedly degenerate diffusion

Computers and Mathematics with Applications, ISSN 0898-1221, 11/2014, Volume 68, Issue 9, pp. 1052 - 1070

In this article, the mathematical analysis of a model arising from biology consisting of diffusion, chemotaxis with volume filling effect and transport through...

Heterogeneous and anisotropic diffusion | Navier–Stokes equations | Degenerate parabolic equation | Global existence of solutions | Navier-Stokes equations | MATHEMATICS, APPLIED | GLOBAL EXISTENCE | Anisotropy | Analysis | Models | Computer simulation | Mathematical analysis | Uniqueness | Mathematical models | Biology | Transport | Diffusion

Heterogeneous and anisotropic diffusion | Navier–Stokes equations | Degenerate parabolic equation | Global existence of solutions | Navier-Stokes equations | MATHEMATICS, APPLIED | GLOBAL EXISTENCE | Anisotropy | Analysis | Models | Computer simulation | Mathematical analysis | Uniqueness | Mathematical models | Biology | Transport | Diffusion

Journal Article

Monthly Notices of the Royal Astronomical Society, ISSN 0035-8711, 12/2002, Volume 337, Issue 3, pp. 1091 - 1104

ABSTRACT The present work is designed to explore the evolution of helium‐core white dwarf (He WD) stars for the case of metallicities much lower than the solar...

stars: atmospheres | stars: fundamental parameters | white dwarfs | stars: interiors | stars: evolution | Stars: interiors | Stars: evolution | Stars: atmospheres | Stars: fundamental parameters | White dwarfs | stars : atmospheres | BINARY | stars : interiors | COOLING CURVES | COMPANION | stars : fundamental parameters | 47-TUCANAE | GLOBULAR-CLUSTER | TEMPERATURE | DOUBLE-DEGENERATE | PHOTOMETRY | ASTRONOMY & ASTROPHYSICS | stars : evolution | MODEL ATMOSPHERES | ABSORPTION | Physics - Cosmology and Nongalactic Astrophysics | Physics - Earth and Planetary Astrophysics | Physics - Instrumentation and Methods for Astrophysics | Physics - High Energy Astrophysical Phenomena | Physics - Solar and Stellar Astrophysics | Physics - Astrophysics of Galaxies

stars: atmospheres | stars: fundamental parameters | white dwarfs | stars: interiors | stars: evolution | Stars: interiors | Stars: evolution | Stars: atmospheres | Stars: fundamental parameters | White dwarfs | stars : atmospheres | BINARY | stars : interiors | COOLING CURVES | COMPANION | stars : fundamental parameters | 47-TUCANAE | GLOBULAR-CLUSTER | TEMPERATURE | DOUBLE-DEGENERATE | PHOTOMETRY | ASTRONOMY & ASTROPHYSICS | stars : evolution | MODEL ATMOSPHERES | ABSORPTION | Physics - Cosmology and Nongalactic Astrophysics | Physics - Earth and Planetary Astrophysics | Physics - Instrumentation and Methods for Astrophysics | Physics - High Energy Astrophysical Phenomena | Physics - Solar and Stellar Astrophysics | Physics - Astrophysics of Galaxies

Journal Article

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