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Initial Data sentence examples within finite time blow



On Blow-up of Regular Solutions to the Isentropic Euler and Euler-Boltzmann Equations with Vacuum


Blow-up criteria for the classical Keller-Segel model of chemotaxis in higher dimensions

Initial Data sentence examples within boundary value problem



Finite extinction for a doubly nonlinear parabolic equation of fast diffusion type


Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation

Initial Data sentence examples within well posedness result



The Hartree equation with a constant magnetic field: well-posedness theory


Exponential decay for semilinear wave equations with viscoelastic damping and delay feedback



Initial Data sentence examples within global classical solution



Analysis of a two-dimensional triply haptotactic model with a fusogenic oncolytic virus and syncytia


Global dynamics and zero-diffusion limit of a parabolic–elliptic–parabolic system for ion transport networks

Initial Data sentence examples within initial boundary value



Can Gravitational Waves Halt the Expansion of the Universe?


Non-homogeneous initial-boundary-value problem of the fifth-order Korteweg-de Vries equation with a nonlinear dispersive term

Initial Data sentence examples within large time behavior



Large time behavior of solutions to a two phase fluid model in R3


Asymptotically self-similar global solutions for a complex-valued quadratic heat equation with a generalized kernel

Initial Data sentence examples within local strong solution



The Keller–Segel system on bounded convex domains in critical spaces


Stabilization of the chemotaxis–Navier–Stokes equations: Maximal regularity approach

Initial Data sentence examples within right hand side



Компактные разностные схемы для уравнения Клейна–Гордона с переменными коэффициентами


To the theory of solvability of degenerate integro-differential equations in Banach spaces

Initial Data sentence examples within global smooth solution



On the Mathematics of Swarming: Emergent Behavior in Alignment Dynamics


The Cauchy problem for a generalized Riemann-type hydrodynamical equation

Initial Data sentence examples within initial value problem



Nonlinear Dynamics of Quadratic Gravity in Spherical Symmetry


The conformal Einstein field equations and the local extension of future null infinity

Initial Data sentence examples within unique strong solution



Regularity of a Gradient Flow Generated by the Anisotropic Landau-de Gennes Energy with a Singular Potential


On blow up for the energy super critical defocusing nonlinear Schrödinger equations

Initial Data sentence examples within corresponding initial boundary



A new result for the global existence and boundedness of weak solutions to a chemotaxis-Stokes system with rotational flux term


Global existence and boundedness in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

Initial Data sentence examples within global weak solution



Almost sure existence of global solutions for supercritical semilinear wave equations


Global existence and boundedness in a two-species chemotaxis system with nonlinear diffusion

Initial Data sentence examples within associated initial boundary



Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary


Influence of Flux Limitation on Large Time Behavior in a Three-Dimensional Chemotaxis-Stokes System Modeling Coral Fertilization

Initial Data sentence examples within large time asymptotic



Solution of a transport equation with discontinuous coefficients


Stability of rarefaction wave for the compressible non-isentropic Navier-Stokes-Maxwell equations

Initial Data sentence examples within u 0 x



Vanishing phenomena in fast decreasing generalized bistable equations


Energy decay for a viscoelastic wave equation with space-time potential in Rn

Initial Data sentence examples within + 1 p



A note on the Cauchy problem for the two-component Novikov system


Non-uniform Dependence on Initial Data for the Generalized Camassa–Holm–Novikov Equation in Besov Space

Initial Data sentence examples within long time behavior



Stability of shock solutions to piston problem for the magnetohydrodynamics


Asymptotic behavior for a dissipative nonlinear Schrödinger equation

Initial Data sentence examples within small perturbation around



Global solvability of 2D MHD boundary layer equations in analytic function spaces


Global well-posedness of non-isothermal inhomogeneous nematic liquid crystal flows

Initial Data sentence examples within bounded classical solution



Asymptotic dynamics of an anti-angiogenic system in tumour growth


The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis

Initial Data sentence examples within unique global smooth



Global smooth solution of 2D temperature-dependent tropical climate model


Existence and Time Decay for Global Small Solution of 2D Generalized Magneto-Micropolar Equations

Initial Data sentence examples within locally well posed



Dynamics of the Ericksen–Leslie Equations with General Leslie Stress II: The Compressible Isotropic Case


Wellposedness of the sixth order Boussinesq equation with non-homogeneous boundary values on a bounded domain

Initial Data sentence examples within u 0 v



Boundedness in a chemotaxis-haptotaxis model with gradient-dependent flux limitation


Boundedness and stabilization enforced by mild saturation of taxis in a producer–scrounger model

Initial Data sentence examples within smooth bounded domain



Boundedness and stabilization in the chemotaxis consumption model with signal-dependent motility


Local existence and non-existence for a fractional reaction–diffusion equation in Lebesgue spaces

Initial Data sentence examples within | x |



Optimal singularities of initial data for solvability of the Hardy parabolic equation


Blowup and scattering criteria above the threshold for the focusing inhomogeneous nonlinear Schrödinger equation

Initial Data sentence examples within solution exists globally



Uniform Boundedness for Reaction-Diffusion Systems with Mass Dissipation


On the blow-up of the solution and on the local and global solvability of the Cauchy problem for a nonlinear equation in Hölder spaces

Initial Data sentence examples within least one global



Analysis of long-term solution of chemotactic model with indirect signal consumption in three-dimensional case


Boundedness of solutions for a quasilinear chemotaxis-haptotaxis model

Initial Data sentence examples within one dimensional compressible



Existence and Uniqueness of the Global L1 Solution of the Euler Equations for Chaplygin Gas


Zero Dissipation Limit to Rarefaction Waves for the One-Dimensional Compressible Navier-Stokes Equations with Selected Density-Dependent Viscosity

Initial Data sentence examples within planar rarefaction wave



Stability of the planar rarefaction wave to three-dimensional Navier–Stokes–Korteweg equations of compressible fluids


Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system

Initial Data sentence examples within u 0 ∈



Existence of solutions with moving singularities for a semilinear heat equation with a critical exponent

Initial Data sentence examples within ∇ v +



On a fully parabolic chemotaxis system with nonlocal growth term

Initial Data sentence examples within q 0 x



Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data

Initial Data sentence examples within 18 mm thick



RESEARCH OF POSSIBILITY OF ARMOURING A CABIN OF TYPE Mi-8A HELICOPTER

Initial Data sentence examples within shifted viscous shock



Asymptotic behavior of solutions for the 1-D isentropic Navier–Stokes–Korteweg equations with free boundary

Initial Data sentence examples within u ∇ v



Global existence of solutions to the Cauchy problem of a two dimensional attraction–repulsion chemotaxis system

Initial Data sentence examples within 0 v 0



Global classical solutions in a chemotaxis(-Navier)-Stokes system with indirect signal production

Initial Data sentence examples within ∂ x u



Extended lifespan of the fractional BBM equation

Initial Data sentence examples within Small Initial Data



Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection


Nonexistence result for the generalized Tricomi equation with the scale-invariant damping, mass term and time derivative nonlinearity

Initial Data sentence examples within Large Initial Data



Large global solutions to the three dimensional chemotaxis-Navier-Stokes equations slowly varying in one direction


On global solutions to a viscous compressible two-fluid model with unconstrained transition to single-phase flow in three dimensions

Initial Data sentence examples within Provide Initial Data



A-102 Performance Validity Testing in Telehealth Research: A VA Traumatic Brain Injury Model Systems Study


Mixed Results on the Efficacy of the CharacterMe Smartphone App to Improve Self-Control, Patience, and Emotional Regulation Competencies in Adolescents

Initial Data sentence examples within Regular Initial Data



Suppressing blow-up by gradient-dependent flux limitation in a planar Keller–Segel–Navier–Stokes system


A new result for the global existence and boundedness of weak solutions to a chemotaxis-Stokes system with rotational flux term

Initial Data sentence examples within Nonnegative Initial Data



Vanishing phenomena in fast decreasing generalized bistable equations


Immediate smoothing and global solutions for initial data in L1 × W1,2 in a Keller–Segel system with logistic terms in 2D

Initial Data sentence examples within These Initial Data



Aerosol Generation During Myringotomy With Tympanostomy Tube Insertion: Implications for Otolaryngology in the COVID-19 Era


Understanding risk of thrombosis with thrombocytopenia syndrome after Ad26.COV2.S vaccination

Initial Data sentence examples within Smooth Initial Data



Shock Formation of the Burgers--Hilbert Equation


Boundedness in a chemotaxis-haptotaxis model with gradient-dependent flux limitation

Initial Data sentence examples within An Initial Data



Effect of Endosulfan Organochlorine-based Insecticide on Human Mental Health at the Molecular Level using Panther


Parent values and preferences underpinning treatment decision making in poor prognosis childhood cancer: a scoping review protocol

Initial Data sentence examples within My Initial Data



An Analysis of Outcomes and Interventions for Female Pediatric Casualties in Iraq and Afghanistan


Risankizumab in real life: preliminary results of efficacy and safety in psoriasis during a 16-week period

Initial Data sentence examples within General Initial Data



Regularity of a Gradient Flow Generated by the Anisotropic Landau-de Gennes Energy with a Singular Potential


Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations

Initial Data sentence examples within Present Initial Data



Anti-cancer effect of Petasites hybridus L. (Butterbur) root extract on breast cancer cell lines


A Newly Designed Automatically Controlled, Sterilizable Flat Panel Photobioreactor for Axenic Algae Culture

Initial Data sentence examples within Bounded Initial Data



Finite extinction for a doubly nonlinear parabolic equation of fast diffusion type


On some theory of monostable and bistable pure birth-jump integro-differential equations

Initial Data sentence examples within Arbitrary Initial Data



Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with gradient-dependent flux limitation


Global well-posedness of a 3D Stokes-Magneto equations with fractional magnetic diffusion

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