Keywords: Residual power series method; Space-time fractional partial differential equations; Caputo derivative; 35K35; 26A33; 35F25;
مقالات ISI (ترجمه نشده)
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Keywords: 35K59; 35K35; 47H05; Porous media equations; Cahn-Hilliard systems; Subdifferential operators;
Keywords: 15A09; 35K35; 41A15; 41A29; 94A12Moore–Penrose inverse; Fourier transform; Linear diffusion; Orthogonal matching pursuit; Partial differential equations; Interpolation
Keywords: 35K35; 46E22; 35C15; 35K05; 65M15Local polynomial approximation; Moving least square reproducing kernel (MLSRK) method; Meshless local Petrov–Galerkin (MLPG) method; Maxwell equations; Error estimation; Electromagnetic equations
L2-norm blow-up of solutions to a fourth order parabolic PDE involving the Hessian
Keywords: 35J30; 35K25; 35K35; 35K55; 35G31; 35Q70; Epitaxial growth; Forth order parabolic PDE; Blow-up; Lifespan;
Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D
Keywords: primary; 35B65; 35B40; secondary; 35K35; 35Q92; 92C17; Chemotaxis; Stokes; Chemotaxis-fluid interaction; Global existence; Generalized solution; Eventual regularity; Stabilization;
A new global Carleman estimate for Cahn–Hilliard type equation and its applications
Keywords: 35K25; 35K35; 93B05; 93B07Global Carleman estimate; Cahn–Hilliard type equation; Unique Continuation Property; Null controllability
Local exact controllability to the trajectories of the Swift–Hohenberg equation
Keywords: 35K35; 35K55; 93B05Swift–Hohenberg equation; Carleman estimate; Controllability
On the cost of null controllability of a fourth-order parabolic equation
Keywords: 35B25; 35K35; 93B05; 93B07; Fourth-order parabolic equation; Cost of null controllability; Boundary control; Uniform null controllability; Carleman estimates;
Stochastic amplitude equation for the stochastic generalized Swift–Hohenberg equation
Keywords: Multi-scale analysis; SPDEs; Swift–Hohenberg equation; Amplitude equationPrimary 60H15; Secondary 60H10; 35R60; 35Q99; 35K35
A new global Carleman estimate for the one-dimensional Kuramoto–Sivashinsky equation and applications to exact controllability to the trajectories and an inverse problem
Keywords: 93B05; 35R30; 35K35; 93C10Carleman estimate; Kuramoto–Sivashinsky equation; Controllability; Inverse problem
About the barotropic compressible quantum Navier–Stokes equations
Keywords: 35K35; 65N12; 76Y05Quantum Navier–Stokes equations; Global weak solutions; Asymptotic analysis
A structurally damped plate equation with Dirichlet–Neumann boundary conditions
Keywords: 35K35; 35J40; 42B15Structurally damped plate equation; Clamped boundary condition; RR-sectoriality; Optimal regularity; Operator-valued Fourier multipliers; Exponential stability
Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian
Keywords: 35J30; 35K25; 35K35; 35K55; 35G31; 35Q70Epitaxial growth; Higher order parabolic equations; Global solutions; Blow-up in finite time; Potential well
Existence of positive solutions for a class of parabolic equations with natural growth terms and L1 data
Keywords: renormalized solutions; natural growth terms; L1 data35K55; 35K30; 35K35
Well-posedness for the Navier-slip thin-film equation in the case of complete wetting
Keywords: 35K65; 35K35; 35K55; 35Q35; 35R35; 76A20; 76D08Free boundary problems; Degenerate-parabolic fourth-order equations; Parabolic maximal regularity; Nonlinear parabolic equations; Lubrication theory; Thin-film equations
A generalized moving least square reproducing kernel method
Keywords: 35K35; 46E22; 35C15; 35K05; 65M15Polynomial reproduction; Moving least square method; Reproducing kernel method; Meshless methods
Existence and long-time behaviour of weak solutions for the Mullins equation
Keywords: 35K35; 35K65; 35K55; 35D30; 35B40Mullins equation; Fourth-order degenerate parabolic equations; Surface diffusion; Motion by mean curvature; Asymptotic behaviour
Strong solutions for the generalized Perona–Malik equation for image restoration
Keywords: 35K35; 35K55; 68U10Existence; Uniqueness; Fourth-order; Image restoration
The Dirichlet problem of the quantum drift-diffusion model
Keywords: 35k35; 35J60; 65M12; 65M20Quantum drift-diffusion model; Fourth order parabolic system; Weak solution
A fourth order parabolic equation with nonlinear principal part
Keywords: 35B65; 35K35; 35K55Fourth order; Parabolic equations; Existence; Campanato space
Existence and uniqueness of global solutions for a mathematical model of antiangiogenesis in tumor growth
Keywords: 35K35; 35Q80; 35R05Tumor growth; Global solution; Existence; Uniqueness
Existence and uniqueness of the global solution for a mathematical model of the use of macrophages in tumor medicine
Keywords: 35K35; 35Q80; 35R05Free boundary problem; Tumor medicine; Global solution; Existence; Uniqueness
On the solvability of a boundary value problem for a fourth-order ordinary differential equation
Keywords: 34B15; 34C25; 35K35; Fourth-order equations; Variational methods;
On a Cahn-Hilliard model for phase separation with elastic misfit
Keywords: 35K35; 35K55; 35J50; 73C02; 35B65; 35J45; 82C26; Cahn-Hilliard systems; Elasticity; Regularity; Elliptic-parabolic systems; Phase transition;