Global existence and boundedness of classical solutions to a parabolic–parabolic chemotaxis system
Keywords: وجود جهانی; Chemotaxis; Global existence; Boundedness; Logistic source
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Global existence of solutions to a cross-diffusion predator–prey system with Holling type-II functional response
Keywords: وجود جهانی; Global existence; Cross-diffusion
Global existence and asymptotic behavior of solution for the Rosenau equation with hydrodynamical damped term
Keywords: وجود جهانی; Rosenau equation; Hydrodynamical damped term; Global existence; Asymptotic behavior
Global existence of Cauchy problem for Boussinesq paradigm equation
Keywords: وجود جهانی; Boussinesq equation; Double dispersion equation; Global existence; Cauchy problem; Supercritical initial energy
The limit behavior of solutions for the nonlinear Schrödinger equation including nonlinear loss/gain with variable coefficient
Keywords: وجود جهانی; Nonlinear Schrödinger equation; Limit behavior of solutions; Variable coefficient loss/gain; Convergence; Global existence
On the initial–boundary problem for fourth order wave equations with damping, strain and source terms
Keywords: وجود جهانی; Fourth order wave equation; Blow-up; Global existence; Arbitrary initial energy; Energy decay
Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations
Keywords: وجود جهانی; 74H20; 74J30; 74B20Nonlocal Cauchy problem; Double dispersion equation; Global existence; Blow-up; Boussinesq equation
Global existence and blow-up for a porous medium system with nonlocal boundary conditions and nonlocal sources
Keywords: وجود جهانی; 35K45; 74H40Porous system; Nonlocal boundary conditions; Nonlocal sources; Global existence; Finite time blow-up
On the BGK equation with some force fields in LpLp space
Keywords: وجود جهانی; BGK equation; Force field; Lorentz field; Global existence
Global and blow-up solutions for nonlinear parabolic equations with Robin boundary conditions
Keywords: وجود جهانی; Parabolic equation; Blow-up; Global existence
General decay of solutions for a nonlinear system of viscoelastic wave equations with degenerate damping and source terms
Keywords: وجود جهانی; Degenerate damping; Asymptotic behavior; Decay rate; Global existence; General decay; Nonlinear wave viscoelastic equations
Global existence and open loop exponential stabilization of weak solutions for nonlinear Schrödinger equations with localized external Neumann manipulation
Keywords: وجود جهانی; Nonlinear Schrödinger equations; Inhomogeneous Neumann boundary data; Galerkin’s method; Compactness method; Global existence; Stabilization; Long time behavior
Global existence of solutions to the initial-boundary value problem of conservation law with degenerate diffusion term
Keywords: وجود جهانی; 35K65Classical solutions; Global existence; Conservation law; Degenerate diffusion; Frequency decomposition method; Energy method; Green’s function method
Global existence and large time behavior for the system of compressible adiabatic flow through porous media in R3R3
Keywords: وجود جهانی; 76W05; 35Q35; 35D05; 76X05Euler equation with damping; Global existence; Large time behavior
The Lagrangian Averaged Navier-Stokes equation with rough data in Sobolev spaces
Keywords: وجود جهانی; Navier-Stokes; Lagrangian averaging; Global existence;
The Cauchy problem of a periodic 2-component μμ-Hunter–Saxton system in Besov spaces
Keywords: وجود جهانی; Periodic Besov spaces; Periodic 2-component μμ-Hunter–Saxton system; Local well-posedness; Blow-up scenario; Global existence
Blow up and global existence of solutions for a model system of the radiating gas
Keywords: وجود جهانی; Hyperbolic–elliptic coupled system; Blow up; Global existence; Low frequency–high frequency decomposition; Optimal time-decay rate
Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
Keywords: وجود جهانی; 35K55; 35Q92; 35Q35; 92C17Chemotaxis; Stokes; Nonlinear diffusion; Global existence; BoundednessChemotaxie; Stokes; Diffusion nonlinéaire; Existence globale; Estimation uniforme
Quasilinear parabolic and elliptic systems with mixed quasimonotone functions
Keywords: وجود جهانی; primary, 35K50, 35J55; secondary, 35K65, 35K57Degenerate parabolic and elliptic system; Global existence; Maximal–minimal solutions; Global attractor; Predator–prey problems
Global existence and blow-up for a degenerate reaction–diffusion system with nonlocal sources
Keywords: وجود جهانی; Global existence; Blow-up; Degenerate; Reaction–diffusion system
Finite time blow-up and global solutions for a class of semilinear parabolic equations at high energy level
Keywords: وجود جهانی; Semilinear parabolic equation; Blow-up; Global existence; High energy
Perturbational blowup solutions to the 2-component Camassa–Holm equations
Keywords: وجود جهانی; Camassa–Holm equations; Perturbational method; Non-radial symmetry; Construction of solutions; Functional differential equations; Dynamical system; Global existence; Blowup; Radial symmetry; Emden equation
Properties of the solutions to the two-component bb-family systems
Keywords: وجود جهانی; Two-component bb-family systems; Global existence; Persistence properties; Propagation speed
Local and global solutions for some parabolic nonlocal problems
Keywords: وجود جهانی; Nonlocal parabolic problem; Newtonian nonlinearity; Local existence; Global existence; A priori estimates
Global existence and blow-up phenomena for the weakly dissipative Novikov equation
Keywords: وجود جهانی; 35R25Weakly dissipative; Novikov equation; Global existence; Blow-up
Second critical exponent for evolution pp-Laplacian equation with weighted source
Keywords: وجود جهانی; Evolution pp-Laplacian equation; Weighted source; Global existence; Blow-up; Second critical exponent; Life span
Global existence and asymptotic behavior of the Cauchy problem for fourth-order Schrödinger equations with combined power-type nonlinearities
Keywords: وجود جهانی; Fourth-order Schrödinger equation; Combined power-type nonlinearities; Cauchy problem; Global existence; Asymptotic behavior
Well posedness and asymptotic behavior of a coupled system of nonlinear viscoelastic equations
Keywords: وجود جهانی; Global existence; Stability; General decay; Relaxation function; Viscoelastic material
Global existence of bifurcated periodic solutions in a commensalism model with delays
Keywords: وجود جهانی; Commensalism system; Stability; Global existence;
On the Cauchy problem of a periodic 2-component μμ-Hunter–Saxton system
Keywords: وجود جهانی; 35G25; 35L05A periodic 2-component μμ-Hunter–Saxton system; Blow-up scenario; Blow-up; Strong solutions; Global existence
Global existence and decay for nonlinear dissipative wave equations with a derivative nonlinearity
Keywords: وجود جهانی; 35B35; 35L70Energy decay; Global existence; Nonlinear wave equation; Nonlinear dissipation
Global existence vs. blowup in a fully parabolic quasilinear 1D Keller–Segel system
Keywords: وجود جهانی; Fully parabolic Keller–Segel system; Global existence; Finite-time blowup
On decay and blow-up of solutions for a system of nonlinear wave equations
Keywords: وجود جهانی; Blow-up; Asymptotic behavior; Decay rate; Global existence; Life span; Nonlinear damping; Nonlinear wave equations;
Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
Keywords: وجود جهانی; 35A01; 35B40; 35B65; 35K57; 35Q92; 92C17Chemotaxis; Global existence; A priori estimates; Eventual regularity
Global existence and exponential stability of solutions to the one-dimensional full non-Newtonian fluids
Keywords: وجود جهانی; Non-Newtonian; Global existence; Exponential stability; A priori estimates
Continuous dependence on the coefficients and global existence for stochastic reaction diffusion equations
Keywords: وجود جهانی; primary, 60H15; secondary, 35K37, 35A35, 35R60Stochastic evolution equations; Continuous dependence on the coefficients; Global existence; Stochastic reaction diffusion equations
Blow-up phenomena for a class of quasilinear parabolic problems under Robin boundary condition
Keywords: وجود جهانی; Parabolic problems; Blow-up; Global existence
Local and global existence of solutions for a class of integro-differential equations with delay
Keywords: وجود جهانی; Delay integro-differential equations; Global existence; Local existence
Existence of oscillatory solutions of forced second order delay differential equations
Keywords: وجود جهانی; Second order delay differential equation; Oscillation; Global existence;
Global existence for the higher-order Camassa-Holm shallow water equation
Keywords: وجود جهانی; Higher-order Camassa-Holm; Local well-posedness; Conservation law; Global existence;
Cauchy problem for fast diffusion equation with localized reaction
Keywords: وجود جهانی; 35B33; 35K59; 35K67; Fast diffusion; Localized reaction; Blow-up; Global existence; Fujita exponent; Blow-up rate; Blow-up set;
Cauchy problem for a nonlinear viscoelastic equation with nonlinear damping and source terms
Keywords: وجود جهانی; Nonlinear viscoelastic equation; Global existence; Blow up;
Global existence and blow-up for a weakly dissipative μμDP equation
Keywords: وجود جهانی; 35Q35; 35G25; 58D05μμ-Degasperis–Procesi equation; Weak dissipation; Diffeomorphism group of the circle; Blow-up; Global existence
Wave breaking and propagation speed for the Camassa–Holm equation with κ≠0κ≠0
Keywords: وجود جهانی; The Camassa–Holm equation; Singularity; Global existence; Propagation speed
Stability and the nonexistence of blowing-up solutions of nonlinear delay systems with linear parts defined by permutable matrices
Keywords: وجود جهانی; 34A34; 34D20; 34K27Delay equation; Nonlinearity; Exponential stability; Global existence
Boundedness in a chemotaxis model with oxygen consumption by bacteria
Keywords: وجود جهانی; Chemotaxis; Global existence; Boundedness
On a viscoelastic equation with nonlinear boundary damping and source terms: Global existence and decay of the solution
Keywords: وجود جهانی; Viscoelastic wave equation; Global existence; Boundary damping; Boundary source; General decay
Global existence and nonexistence for degenerate parabolic equations with nonlinear boundary flux
Keywords: وجود جهانی; Global existence; Global nonexistence; Degenerate parabolic system; MM-matrix
Life span and a new critical exponent for a doubly degenerate parabolic equation with slow decay initial values
Keywords: وجود جهانی; Blow-up; Global existence; Critical exponent; Large time behavior; Life span
Critical exponent for damped wave equations with nonlinear memory
Keywords: وجود جهانی; 35L15; 35L70; 35B33; 34B44Nonlinear damped wave equation; Global existence; Blow-up; Critical exponent; Large time asymptotic behavior